Los números desde el punto de vista gramatical son adjetivos numerales y pueden

Size: px
Start display at page:

Download "Los números desde el punto de vista gramatical son adjetivos numerales y pueden"

Transcription

1 FIRST TOPIC: NUMBERS UNIT 1.CARDINAL AND ORDINAL Los números desde el punto de vista gramatical son adjetivos numerales y pueden aparecer de dos formas, como números cardinales y como números ordinales. A) CARDINAL NUMBERS (números para contar / counting numbers /numbers used for counting / to count) 0 Nought, zero one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty A partir del 20 Las unidades se separan de las decenas por un guión. 21 twenty-one 30 thirty 40 forty 50 fifty 60 sixty 70 seventy 80 eighty 90 ninety 100 one hundred 101 one hundred and one 1000 one thousand 1001 one thousand and one En un número de tres cifras one hundred, two hundred, van siempre seguidos de and. 123 one hundred and twenty-three Los millares no se unen a las centenas ni con guión, ni con and, ni con coma one thousand three hundred and fifty Si el lugar de las centenas lo ocupa un cero, los millares van seguidos de and three thousand and eighty-one Los números de cuatro cifras, especialmente las fechas pueden leerse por parejas 1975 nineteen seventy-five Los números de cuatro cifras terminados en dos ceros, pueden leerse con las dos primeras cifras seguidas de hundred 2500 twenty-five hundred

2 En lenguaje coloquial, hundred, thousand and million suelen ir precedidos de a en lugar de one a hundred a thousand a million Hundred, thousand and million, cuando van precedidos de otro número o determinante numeral, o sea, cuando funcionan como adjetivos, no llevan s final en el plural En cambio si funcionan como sustantivos si termina en s el plural. Doscientos dolares: Two hundred dollars Miles de pajaros : Thousands of birds En Inglés, se utiliza una coma ó un espacio para marcar los millares (nunca un punto como nosotros) 25, El cero: 0 nought zero o nothing nil love mathematical digits point zero, zero degrees telephone numbers coloquial In football In tennis B) ORDINAL NUMBERS (números para ordenar/ arranging numbers / numbers used for arranging / to arrange) first second third fourth fifth sixth seventh eightth ninth tenth eleventh twelfth thirteenth fourteenth fifteenth sixteenth seventeenth eighteenth nineteenth twentieth Twentyfirst Thirtieth Fourtieth Fiftieth Sixtieth Seventieth Eightieth Ninetieth One hundredth One hundred and first

3 1000 One thousandth 1001 One thousand and first One millionth Los números ordinales se abrevian añadiendo al número cardinal correspondiente las dos últimas letras de dicho ordinal. 1º _1 st 2º _2 nd 3º_ 3 rd 4º_ 4 th 18º_ 18 th Situaciones en las que se utilizan números ordinales DATES_ 1st April, 1 st of April, April the 1 st, April 1st TITLES_ Isabel II Elisabeth II Elisabeth the second PRIZE_ The first prize, the 2 nd prize, CENTURY_ 21stcentury, 18 th century,. CLASIFICATIONS_ The 4 th position El primero y el último EL PRIMERO_THE FIRST EL ÚLTIMO_ THE LAST EL SEGUNDO_ THE SECOND EL PENÚLTIMO_ THE SECOND LAST EL TERCERO_ THE THIRD EL ANTEPENÚLTIMO_ THE THIRD LAST NUMBERS Numbers are the basic building blocks of mathematics. Some numbers share common properties and can be grouped together in SETS. Digit: any of the ten (Hindu-arabic) numbers: 0,1,2,3,4,5,6,7,8,9 Number system: The base ten number system is the more usual today. Dou you know another one that we use? The binary system or base two number system The roman system

4 The sexagesimal system Place value. In our system the value of a digit is relating to its position. thousands hundreds tens units Decimal tenths hundreths thousandths point Sets of numbers How many different kinds of numbers do you know? Natural, N Natural numbers are the counting numbers {1, 2, 3,...} (positive integers) or the whole numbers {0, 1, 2, 3,...} (the non-negative integers). Mathematicians use the term "natural" in both cases. Integer, Z Integers are the natural numbers and their negatives together with zero {... 3, 2, 1, 0, 1, 2, 3,...}. (Z is from German Zahl, "number".) Rational, Q Rational numbers are the ratios of integers, also called fractions, such as 1/2 = 0.5 or 1/3 = Rational decimal expansions end or repeat. (Q is from quotient.)

5 Irrational Number, I Real number that cannot be written as a simple fraction. Irrational means not Rational Examples: Real, R The set of all rational and irrational numbers A simple way to think about the Real Numbers is: any point anywhere on the number line (not just the whole numbers). Examples: 1.5, -12.3, 99, 2, π They are called "Real" numbers because they are not Imaginary Numbers MORE ABOUT NUMBERS Number line Consecutive numbers Numbers that are next to each other Positive number: above zero Negative number: below zero Even number: Any integer that can be divided by 2 without leaving a remainder Odd number: any integer that cannot be divided by 2 without leaving a remainder ARITHMETIC is the ability to use NUMBERS. The four basic operations used in calculations are: ADDITION, SUBTRACTION, MULTIPLICATION and DIVISION. ADDITION = 11 five plus six is equal to eleven SUBTRACTION 6 1 = 5 six minus one equals five MULTIPLICATION 6 X 8 = 48 six times eight gives forty-eight You can also say: six multiplied by eight is equal to forty-eight 6 and 8 are called FACTORS and 48 is the PRODUCT DIVISION

6 40 : 8 = 5 fourty divided by eight is equal to five 40/8= 5 40 =5 this is a división without remainder. It s exact 8 MIXED OPERATIONS. You will remember PEMDAS (7-5) =14 POWER 2 3 = 8 2: base 3: index or exponent We can express 8 in power form as 2 3 The squares are raised to the power of two/the second power The cubes are raised to the power of three/the third power THE SQUARE ROOT Take the square root of 50 THE CUBE ROOT Take the cube root of 8

EXPRESSING NUMBERS IN ENGLISH

EXPRESSING NUMBERS IN ENGLISH EXPRESSING NUMBERS IN ENGLISH Cardinal numbers from 1 through 1,000,000 1 one 11 eleven 21 twenty-one 31 thirty-one 2 two 12 twelve 22 twenty-two 40 forty 3 three 13 thirteen 23 twenty-three 50 fifty 4

More information

one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen zero oneteen twoteen fiveteen tenteen

one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen zero oneteen twoteen fiveteen tenteen Stacking races game Numbers, ordinal numbers, dates, days of the week, months, times Instructions for teachers Cut up one pack of cards. Divide the class into teams of two to four students and give them

More information

Mental Math 5 th Grade

Mental Math 5 th Grade Mental Math 5 th Grade 1. If a faucet drips three-hundred and four times in sixteen minutes, how many drips, on average, occurred each minute? 2. What is the radius of a circle with a circumference of

More information

Part One: Typical mistakes writing English numbers

Part One: Typical mistakes writing English numbers Typical Mistakes with English Numbers- Error Correction Task Find one mistake in each line of the three sections below. All have exactly one mistake (of many different kinds). Part One: Typical mistakes

More information

Writing and Comparing Numbers Through Hundred Thousands Ordinal Numbers

Writing and Comparing Numbers Through Hundred Thousands Ordinal Numbers LESSON 7 Writing and Comparing Numbers Through Hundred Thousands Ordinal Numbers Power Up facts Power Up A count aloud Count up and down by 20s between 0 and 200. Count up and down by 200s between 0 and

More information

Thirteen Million Six Hundred One Thousand

Thirteen Million Six Hundred One Thousand Thirteen Million Six Hundred One Thousand Eleven In Standard Form How do you write thirteen million six hundred one thousand eleven in How do you write one hundred six thousand five hundred and five in

More information

Mathematics 3º ESO. María Isabel Muñoz Molina. Juan Francisco Antona Blázquez. Real Instituto de Jovellanos

Mathematics 3º ESO. María Isabel Muñoz Molina. Juan Francisco Antona Blázquez. Real Instituto de Jovellanos Mathematics 3º ESO María Isabel Muñoz Molina Juan Francisco Antona Blázquez Real Instituto de Jovellanos 1st TERM Numbers Polynomials Equations Numbers ExpressingNumbersand Operations in E nglish 1. Numbers

More information

Terms in the SMD. December decimal decimal place decimal point decimal system decimeter. billionth billionth 2

Terms in the SMD. December decimal decimal place decimal point decimal system decimeter. billionth billionth 2 Terms in the SMD a.m. abacus absolute value accurate acute acute tri add addend addition addition additive inverse adjacent afternoon algebra algebraic algebraic expression algorithm altitude amount answer

More information

Beyond Whole Number Bases

Beyond Whole Number Bases Beyond Whole Number Bases Figure 1: Here is a Venn diagram representing the various subsets of the real numbers. As you can see there are many types of real numbers, why restrict ourselves to positive

More information

I.E.S. Andrés de Vandelvira - Sección Europea INDEX

I.E.S. Andrés de Vandelvira - Sección Europea INDEX MATHEMATICS º ESO SECCIONES EUROPEAS IES ANDRÉS DE VANDELVIRA MANUEL VALERO LÓPEZ (MATEMÁTICAS) ANTONIO MARTÍNEZ RESTA (INGLÉS) Dibujo de la portada de Olga López-Galiano Moreno º ESO A Curso 007-008 I.E.S.

More information

What are binary numbers and why do we use them? BINARY NUMBERS. Converting decimal numbers to binary numbers

What are binary numbers and why do we use them? BINARY NUMBERS. Converting decimal numbers to binary numbers What are binary numbers and why do we use them? BINARY NUMBERS Converting decimal numbers to binary numbers The number system we commonly use is decimal numbers, also known as Base 10. Ones, tens, hundreds,

More information

Mathematics for Health and Physical Sciences

Mathematics for Health and Physical Sciences 1 Mathematics for Health and Physical Sciences Collection edited by: Wendy Lightheart Content authors: Wendy Lightheart, OpenStax, Wade Ellis, Denny Burzynski, Jan Clayton, and John Redden Online:

More information

Mathematics. By Examples. By Courtney A. Pindling Department of Mathematics - SUNY New Paltz. First Edition, Summer 2001 FOR ELEMENTARY TEACHERS

Mathematics. By Examples. By Courtney A. Pindling Department of Mathematics - SUNY New Paltz. First Edition, Summer 2001 FOR ELEMENTARY TEACHERS Cover: Math for teachers Mathematics FOR ELEMENTARY TEACHERS By Examples By Courtney A. Pindling Department of Mathematics - SUNY New Paltz First Edition, Summer 2001 file:///c /HP/Math/Math_Teachers/Resource/example/cover.html

More information

Label the lines below with S for the same meanings or D for different meanings.

Label the lines below with S for the same meanings or D for different meanings. Time Expressions- Same or Dates, times, frequency expressions, past times and future times Without looking below, listen to your teacher and raise one of the cards that you ve been given depending on what

More information

We say that the base of the decimal number system is ten, represented by the symbol

We say that the base of the decimal number system is ten, represented by the symbol Introduction to counting and positional notation. In the decimal number system, a typical number, N, looks like... d 3 d 2 d 1 d 0.d -1 d -2 d -3... [N1] where the ellipsis at each end indicates that there

More information

Chapter 4 ARITHMETIC AND GEOMETRIC PROGRESSIONS 2, 5, 8, 11, 14,..., 101

Chapter 4 ARITHMETIC AND GEOMETRIC PROGRESSIONS 2, 5, 8, 11, 14,..., 101 Chapter 4 ARITHMETIC AND GEOMETRIC PROGRESSIONS A finite sequence such as 2, 5, 8, 11, 14,..., 101 in which each succeeding term is obtained by adding a fixed number to the preceding term is called an

More information

REVIEW Chapter 1 The Real Number System

REVIEW Chapter 1 The Real Number System REVIEW Chapter The Real Number System In class work: Complete all statements. Solve all exercises. (Section.4) A set is a collection of objects (elements). The Set of Natural Numbers N N = {,,, 4, 5, }

More information

- ~ t t ~ ~~~~ ~ N II

- ~ t t ~ ~~~~ ~ N II - ~ 0 ~ ~~~~ ~ ' I i IJ.,, N II 13 @ t t Date set ------------------------ Maths Basic Skills Practice Week 1 Date due: Section A:Counting and understanding numbers Section B: Calculating Section C: Using

More information

Chapter 1. Foundations of GMAT Math. Arithmetic

Chapter 1. Foundations of GMAT Math. Arithmetic Chapter of Foundations of GMAT Math In This Chapter Quick-Start Definitions Basic Numbers Greater Than and Less Than Adding and Subtracting Positives and Negatives Multiplying and Dividing Distributing

More information

Lekcja 2 A. Mathematical Symbols

Lekcja 2 A. Mathematical Symbols Mathematical Symbols Symbol How to read it + plus, and - minus, subtract, take away (is) divided by /dɪˈvʌɪdɪd/ (is) multiplied by, times /ˈmʌltɪplʌɪd/ a = b a equals b /ˈiːkw(ə)lz/ a is equal to b e.g.

More information

Year 6 Place Value Maths Chilli Challenge Cards

Year 6 Place Value Maths Chilli Challenge Cards Year 6 Place Value Maths Chilli Challenge Cards Use negative numbers in context, and calculate intervals across zero. What number is three less than one? Count forwards from -3. -3,,, 0,, 2,, Read, write,

More information

Section 4.7 Scientific Notation

Section 4.7 Scientific Notation Section 4.7 Scientific Notation INTRODUCTION Scientific notation means what it says: it is the notation used in many areas of science. It is used so that scientist and mathematicians can work relatively

More information

Grade 5 Large Numbers

Grade 5 Large Numbers ID : gb-5-large-numbers [1] Grade 5 Large Numbers For more such worksheets visit www.edugain.com Answer t he quest ions (1) Arrange the f ollowing numbers in Ascending Order: 34606246, 33371563, 23968628,

More information

SWITCH TEAM MEMBERS SWITCH TEAM MEMBERS

SWITCH TEAM MEMBERS SWITCH TEAM MEMBERS Grade 4 1. What is the sum of twenty-three, forty-eight, and thirty-nine? 2. What is the area of a triangle whose base has a length of twelve and height of eleven? 3. How many seconds are in one and a

More information

Chapter 1: Fundamentals of Algebra Lecture notes Math 1010

Chapter 1: Fundamentals of Algebra Lecture notes Math 1010 Section 1.1: The Real Number System Definition of set and subset A set is a collection of objects and its objects are called members. If all the members of a set A are also members of a set B, then A is

More information

JANUARY MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY SUNDAY

JANUARY MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY SUNDAY Vocabulary (01) The Calendar (012) In context: Look at the calendar. Then, answer the questions. JANUARY MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY SUNDAY 1 New 2 3 4 5 6 Year s Day 7 8 9 10 11

More information

Arithmetic with Whole Numbers and Money Variables and Evaluation

Arithmetic with Whole Numbers and Money Variables and Evaluation LESSON 1 Arithmetic with Whole Numbers and Money Variables and Evaluation Power Up 1 facts mental math Building Power Power Up A A score is 20. Two score and 4 is 44. How many is a. Measurement: 3 score

More information

HW: page 168 (12-24 evens, 25-28) Extra Credit # 29 & 31

HW: page 168 (12-24 evens, 25-28) Extra Credit # 29 & 31 Lesson 5-1 Rational Numbers pages 166-168 Review our number system and real numbers. Our Number System Real Complex Rational Irrational # Integers # Whole # Natural Rational Numbers the word "rational"

More information

Decimal Addition: Remember to line up the decimals before adding. Bring the decimal straight down in your answer.

Decimal Addition: Remember to line up the decimals before adding. Bring the decimal straight down in your answer. Summer Packet th into 6 th grade Name Addition Find the sum of the two numbers in each problem. Show all work.. 62 2. 20. 726 + + 2 + 26 + 6 6 Decimal Addition: Remember to line up the decimals before

More information

5 Mathematics. Reading. Switch on. Cardinals and ordinals

5 Mathematics. Reading. Switch on. Cardinals and ordinals 5 Mathematics Switch on These numbers describe Ahmed. Match each number with the most likely piece of information about Ahmed. Reading Cardinals and ordinals Read the text. Mark each statement T (true)

More information

Fill in the blanks : 1. The symbol for 100 in the Roman Numeral is. 2. The place value value of 3 in 28,38,19,764 is. 3. The numbers that are being added are called. 4. A line segment has end points. 5.

More information

Fundamentals of Mathematics I

Fundamentals of Mathematics I Fundamentals of Mathematics I Kent State Department of Mathematical Sciences Fall 2008 Available at: http://www.math.kent.edu/ebooks/10031/book.pdf August 4, 2008 Contents 1 Arithmetic 2 1.1 Real Numbers......................................................

More information

LISTENING GAP FILL SHEET Nº1

LISTENING GAP FILL SHEET Nº1 LISTENING GAP FILL SHEET Nº1 From: http://www.listenaminute.com/n/numbers.html Just stop and think how important are to our lives. Numbers control us. In fact, we are numbers. We have passport numbers,

More information

K-8 CCSS Vocabulary Word List Revised: 5/5/14

K-8 CCSS Vocabulary Word List Revised: 5/5/14 AA (angle-angle criterion) a.m. above absolute value acute angle acute triangle add addend Addition Property of Equality additive comparison additive inverse Additive Identity Property of 0 adjacent angle

More information

Revision. 5 Mona had 8 pounds, she bought a doll for 3 pounds. How much money left with her? The money left with her =.. =.. pounds.

Revision. 5 Mona had 8 pounds, she bought a doll for 3 pounds. How much money left with her? The money left with her =.. =.. pounds. Date: / / 2012 Revision 1 Find: a 2 + 5 =. b 7 1 = c 6 + 3 = d 4 2 = e 8 4 =.. f 2 + 6 =. g 9 7 =.. h 3 + 3 = 2 Put the suitable sign >, < or = : a 7 3 2 + 3 b 8 4. Four c Six.. 5 1 d 5 2. 5 + 2 3 Arrange

More information

This is a listing of common symbols found within all branches of mathematics 1. x = y means x and y represent the same thing or value.

This is a listing of common symbols found within all branches of mathematics 1. x = y means x and y represent the same thing or value. This is a listing of common symbols found within all branches of mathematics 1. Symbol Read as Explanation Examples = is equal to; equals < > + is not equal to does not equal is less than, is greater than

More information

5-3 Solving Multi-Step Inequalities. Solve each inequality. Graph the solution on a number line b 1 11 SOLUTION: The solution set is {b b 2}.

5-3 Solving Multi-Step Inequalities. Solve each inequality. Graph the solution on a number line b 1 11 SOLUTION: The solution set is {b b 2}. Solve each inequality. Graph the solution on a number line. 12. 5b 1 11 14. 9 m + 7 The solution set is {b b 2}. {b b 2} The solution set is {m m 40}. 13. 21 > 15 + 2a {m m 40} 15. 13 > 6 The solution

More information

June 1, Dear Parents of Sixth Graders,

June 1, Dear Parents of Sixth Graders, June, 0 Dear Parents of Sixth Graders, During the summer, we are requiring our sixth grade students to complete a mathematics packet designed to strengthen skills for success in seventh grade. The packet

More information

Number Bases: Dr Olga Maleva

Number Bases: Dr Olga Maleva A number system is a system for expressing numbers using a specific set of digits The first system that the ancient people came up with required to put one stroke for each object This was very inconvenient

More information

And the radius of an electron is thought to be even smaller again, at about one onethousandth of the radius of a proton!

And the radius of an electron is thought to be even smaller again, at about one onethousandth of the radius of a proton! Guided Inst./Prac.: Scientific Notation M8001 Did you know that the radius of a hydrogen atom is about five one hundred-billionths of a meter? That s zero, point zero, zero, zero, zero, zero, zero, zero,

More information

#1 I don't want to be a janitor! Long Divisions Packet 1 Version 1

#1 I don't want to be a janitor! Long Divisions Packet 1 Version 1 Name: Class: Date: #1 I don't want to be a janitor! Long Divisions Packet 1 Version 1 Multiple Choice Identify the choice that best completes the statement or answers the question. Divide. 1. 7 539 a.

More information

mep MEP: Feeder Primary Project: Year 5 YEAR 5 Copy Masters CIMT, University of Exeter

mep MEP: Feeder Primary Project: Year 5 YEAR 5 Copy Masters CIMT, University of Exeter YEAR 5 Copy Masters a) 1-digit numbers: 3 4 0 7 10 11 b) 2-digit numbers: 19 83 06 1 2 80 c) 3-digit numbers with two equal digits: 122 022 1 252 303 2 3 d) 4-digit numbers with two zeros: 1007 8140 6200

More information

Numeral System In Anal

Numeral System In Anal Research Paper Volume 2 Issue 9 May 2015 International Journal of Informative & Futuristic Research ISSN (Online): 2347-1697 Numeral System In Paper ID IJIFR/ V2/ E9/ 088 Page No. 3410-3419 Research Area

More information

13. [Place Value] units. The digit three places to the left of the decimal point is in the hundreds place. So 8 is in the hundreds column.

13. [Place Value] units. The digit three places to the left of the decimal point is in the hundreds place. So 8 is in the hundreds column. 13 [Place Value] Skill 131 Understanding and finding the place value of a digit in a number (1) Compare the position of the digit to the position of the decimal point Hint: There is a decimal point which

More information

Prepared by Sa diyya Hendrickson. Package Summary

Prepared by Sa diyya Hendrickson. Package Summary Introduction Prepared by Sa diyya Hendrickson Name: Date: Package Summary Defining Decimal Numbers Things to Remember Adding and Subtracting Decimals Multiplying Decimals Expressing Fractions as Decimals

More information

Arithmetic with Whole Numbers and Money Variables and Evaluation (page 6)

Arithmetic with Whole Numbers and Money Variables and Evaluation (page 6) LESSON Name 1 Arithmetic with Whole Numbers and Money Variables and Evaluation (page 6) Counting numbers or natural numbers are the numbers we use to count: {1, 2, 3, 4, 5, ) Whole numbers are the counting

More information

1.2 Algebraic Expressions and Sets of Numbers

1.2 Algebraic Expressions and Sets of Numbers Section. Algebraic Expressions and Sets of Numbers 7. Algebraic Expressions and Sets of Numbers S Identify and Evaluate Algebraic Expressions. Identify Natural Numbers, Whole Numbers, Integers, and Rational

More information

Let s suppose that the manufacturer of a popular washing powder announced a change in how it packages its product.

Let s suppose that the manufacturer of a popular washing powder announced a change in how it packages its product. Show Me: Rate of Change M8049 Let s suppose that the manufacturer of a popular washing powder announced a change in how it packages its product. The original amount of washing powder in a pack was eighty

More information

8.4 Scientific Notation

8.4 Scientific Notation 8.4. Scientific Notation www.ck12.org 8.4 Scientific Notation Learning Objectives Write numbers in scientific notation. Evaluate expressions in scientific notation. Evaluate expressions in scientific notation

More information

Mathematics Tutorials. Arithmetic Tutorials Algebra I Tutorials Algebra II Tutorials Word Problems

Mathematics Tutorials. Arithmetic Tutorials Algebra I Tutorials Algebra II Tutorials Word Problems Mathematics Tutorials These pages are intended to aide in the preparation for the Mathematics Placement test. They are not intended to be a substitute for any mathematics course. Arithmetic Tutorials Algebra

More information

LANGUAGE IN INDIA Strength for Today and Bright Hope for Tomorrow Volume 10 : 12 December 2010 ISSN

LANGUAGE IN INDIA Strength for Today and Bright Hope for Tomorrow Volume 10 : 12 December 2010 ISSN LANGUAGE IN INDIA Strength for Today and Bright Hope for Tomorrow Volume ISSN 1930-2940 Managing Editor: M. S. Thirumalai, Ph.D. Editors: B. Mallikarjun, Ph.D. Sam Mohanlal, Ph.D. B. A. Sharada, Ph.D.

More information

Seven is less than 11. Four more than seventeen. Four is not equal to three.

Seven is less than 11. Four more than seventeen. Four is not equal to three. Prealgebra.1: Translations, Simplifying and Evaluating Expressions Words such as,, and indicate addition. Words such as,, and indicate subtraction. Translate each of the following into mathematical symbols.

More information

Early Start: Worksheet #1 No calculator/phone use (11 16) (17 10)3

Early Start: Worksheet #1 No calculator/phone use (11 16) (17 10)3 Early Start: Worksheet #1 No calculator/phone use I. Perform the operations; simplify completely. a) 8 ( + 4) ( 7) + ( 1) b) (11 16) (17 10) c) 7 14 6 d) 1 6 5 e) 4 1 + f) 6 9() 10 + 5 5 1 5 4 g) 9 9 +

More information

Trinity Web Site Design. Today we will learn about the technology of numbering systems.

Trinity Web Site Design. Today we will learn about the technology of numbering systems. Week 8 Trinity Web Site Design Today we will learn about the technology of numbering systems. Would you believe me if I told you - I can prove that 10 + 10 = 100 . You can

More information

Expressions, Equations, Inequalities, and Evaluating Equations Mini-Unit Includes guided notes, sort activities, guided and independent worksheets.

Expressions, Equations, Inequalities, and Evaluating Equations Mini-Unit Includes guided notes, sort activities, guided and independent worksheets. Expressions, Equations, Inequalities, and Evaluating Equations Mini-Unit Includes guided notes, sort activities, guided and independent worksheets. Unit discusses vocabulary, translating expressions and

More information

ABE Math Review Package

ABE Math Review Package P a g e ABE Math Review Package This material is intended as a review of skills you once learned and wish to review before your assessment. Before studying Algebra, you should be familiar with all of the

More information

Math is Cool Masters

Math is Cool Masters Sponsored by: GENIE Industries 7 th Grade November 19, 2005 Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable. Do not round

More information

5.7 Translating English Sentences into Mathematical Equations and Solving

5.7 Translating English Sentences into Mathematical Equations and Solving 5.7 Translating English Sentences into Mathematical Equations and Solving Mathematical equations can be used to describe many situations in the real world. To do this, we must learn how to translate given

More information

Math is Cool Masters

Math is Cool Masters Math is Cool Masters 0-11 Individual Multiple Choice Contest 0 0 0 30 0 Temperature of Liquid FOR QUESTIONS 1, and 3, please refer to the following chart: The graph at left records the temperature of a

More information

Numbering Systems. Contents: Binary & Decimal. Converting From: B D, D B. Arithmetic operation on Binary.

Numbering Systems. Contents: Binary & Decimal. Converting From: B D, D B. Arithmetic operation on Binary. Numbering Systems Contents: Binary & Decimal. Converting From: B D, D B. Arithmetic operation on Binary. Addition & Subtraction using Octal & Hexadecimal 2 s Complement, Subtraction Using 2 s Complement.

More information

What Fun! It's Practice with Scientific Notation!

What Fun! It's Practice with Scientific Notation! What Fun! It's Practice with Scientific Notation! Review of Scientific Notation Scientific notation provides a place to hold the zeroes that come after a whole number or before a fraction. The number 100,000,000

More information

ARITHMETIC AND BASIC ALGEBRA

ARITHMETIC AND BASIC ALGEBRA C O M P E T E N C Y ARITHMETIC AND BASIC ALGEBRA. Add, subtract, multiply and divide rational numbers expressed in various forms Addition can be indicated by the expressions sum, greater than, and, more

More information

English in Life Sciences

English in Life Sciences English in Life Sciences Units and measures 3.12.2015 digits and numbers units and fractions precision Numbers 1 Numbers 6.023 6,023 0 zero ( 0 C) nought (0.03) o (phone numbers) nil, nothing (10 to 0

More information

Section 5.5 from Basic Mathematics Review by Oka Kurniawan was developed by OpenStax College, licensed by Rice University, and is available on the

Section 5.5 from Basic Mathematics Review by Oka Kurniawan was developed by OpenStax College, licensed by Rice University, and is available on the Section 5.5 from Bsic Mthemtics Review by Ok Kurniwn ws developed by OpenStx College, licensed by Rice University, nd vilble on the Connexions website. It used under Cretive Commons Attribution 3.0 Unported

More information

Day What number is five cubed? 2. A circle has radius r. What is the formula for the area of the circle?

Day What number is five cubed? 2. A circle has radius r. What is the formula for the area of the circle? Mental Arithmetic Questions 1. What number is five cubed? KS3 MATHEMATICS 10 4 10 Level 7 Questions Day 1 2. A circle has radius r. What is the formula for the area of the circle? 3. Jenny and Mark share

More information

MATH Dr. Halimah Alshehri Dr. Halimah Alshehri

MATH Dr. Halimah Alshehri Dr. Halimah Alshehri MATH 1101 haalshehri@ksu.edu.sa 1 Introduction To Number Systems First Section: Binary System Second Section: Octal Number System Third Section: Hexadecimal System 2 Binary System 3 Binary System The binary

More information

... a a a a. n times. 5 squared 2 raised to fourth power 10 cubed (5) 2 = 5 5 = 25 (2) 4 = 2222 = 16 (10) 3 = (10)(10)(10) = 1000

... a a a a. n times. 5 squared 2 raised to fourth power 10 cubed (5) 2 = 5 5 = 25 (2) 4 = 2222 = 16 (10) 3 = (10)(10)(10) = 1000 272 Section 4.1 Exponents & Logarithms Exponential notation serves as a shorthand notation for products formed by repeated multiplication of the same number. For instance, the product of ten times ten

More information

Intermediate Mathematics League of Eastern Massachusetts

Intermediate Mathematics League of Eastern Massachusetts Meet #4 February, 2003 Intermediate Mathematics League of Eastern Massachusetts www.imlem.org Meet #4 February, 2003 Category 1 Mystery You may use a calculator 1. The numbers 1, 5, 12, and 22 are called

More information

ALGEBRA 1. Interactive Notebook Chapter 2: Linear Equations

ALGEBRA 1. Interactive Notebook Chapter 2: Linear Equations ALGEBRA 1 Interactive Notebook Chapter 2: Linear Equations 1 TO WRITE AN EQUATION: 1. Identify the unknown (the variable which you are looking to find) 2. Write the sentence as an equation 3. Look for

More information

Rational Numbers and Square Roots. This booklet belongs to:

Rational Numbers and Square Roots. This booklet belongs to: Rational Numbers and Square Roots Calculators may not be used on quizzes or the unit test for the first unit. This booklet belongs to: LESSON # DATE QUESTIONS FROM NOTES.. 3. 4. 5. 6. 7. 8. 9. 0... 3.

More information

Academic-Clinic.com BASIC ARITHMETIC AND ALGEBRA POINTERS. Whole (natural) numbers. Arithmetical operations

Academic-Clinic.com BASIC ARITHMETIC AND ALGEBRA POINTERS. Whole (natural) numbers. Arithmetical operations BASIC ARITHMETIC AND ALGEBRA POINTERS Whole (natural) numbers Natural numbers numbers, which appear as a result of calculus of single subjects: peoples, animals, birds, trees, different wares and so on.

More information

Introduction to Negative Numbers and Computing with Signed Numbers

Introduction to Negative Numbers and Computing with Signed Numbers Section 6. PRE-ACTIVITY PREPARATION Introduction to Negative Numbers and Computing with Signed Numbers In the previous five chapters of this book, your computations only involved zero and the whole numbers,

More information

Free Pre-Algebra Lesson 31! page 1

Free Pre-Algebra Lesson 31! page 1 Free Pre-Algebra Lesson! page Lesson Decimal Fractions Expressing parts of a whole is a mathematical problem with several solutions. One way to do this is the ordinary fractions (classically called the

More information

SEVENTH EDITION and EXPANDED SEVENTH EDITION

SEVENTH EDITION and EXPANDED SEVENTH EDITION SEVENTH EDITION and EXPANDED SEVENTH EDITION Slide 5-1 Chapter 5 Number Theory and the Real Number System 5.1 Number Theory Number Theory The study of numbers and their properties. The numbers we use to

More information

Some questions (c) 2012 by Region 10 Educational Service Center. Some questions (c) 2012 by STAAR Test Maker. Page 2 GO ON

Some questions (c) 2012 by Region 10 Educational Service Center. Some questions (c) 2012 by STAAR Test Maker. Page 2 GO ON 3.1A Place value Some questions (c) 2012 by Region 10 Educational Service Center. Some questions (c) 2012 by STAAR Test Maker. Page 2 1 The SBC Center in San Antonio seats eighteen thousand, fifty people.

More information

Summer Math Packet for Students Entering 6th Grade. Please have your student complete this packet and return it to school on Tuesday, September 4.

Summer Math Packet for Students Entering 6th Grade. Please have your student complete this packet and return it to school on Tuesday, September 4. Summer Math Packet for Students Entering 6th Grade Please have your student complete this packet and return it to school on Tuesday, September. Work on your packet gradually. Complete one to two pages

More information

Sequences. 1. Number sequences. 2. Arithmetic sequences. Consider the illustrated pattern of circles:

Sequences. 1. Number sequences. 2. Arithmetic sequences. Consider the illustrated pattern of circles: Sequences 1. Number sequences Consider the illustrated pattern of circles: The first layer has just one blue ball. The second layer has three pink balls. The third layer has five black balls. The fourth

More information

Skills Practice Skills Practice for Lesson 4.1

Skills Practice Skills Practice for Lesson 4.1 Skills Practice Skills Practice for Lesson.1 Name Date Thinking About Numbers Counting Numbers, Whole Numbers, Integers, Rational and Irrational Numbers Vocabulary Define each term in your own words. 1.

More information

3. Student will read teacher's notes and examples for each concept. 4. Student will complete skills practice questions for each concept.

3. Student will read teacher's notes and examples for each concept. 4. Student will complete skills practice questions for each concept. Welcome to 8 th Grade, 8th Grade Summer Math Assignment: 1. Student will complete all 25 assignments on Buzz Math 2. Student will complete Pretest. 3. Student will read teacher's notes and examples for

More information

Math in Our World. Section 4.1. Early and Modern Numeration Systems

Math in Our World. Section 4.1. Early and Modern Numeration Systems Math in Our World Section 4.1 Early and Modern Numeration Systems Learning Objectives Define a numeration system. Work with numbers in the Egyptian system. Work with numbers in the Chinese system. Identify

More information

A group of figures, representing a number, is called a numeral. Numbers are divided into the following types.

A group of figures, representing a number, is called a numeral. Numbers are divided into the following types. 1. Number System Quantitative Aptitude deals mainly with the different topics in Arithmetic, which is the science which deals with the relations of numbers to one another. It includes all the methods that

More information

Variable Expression: a collection of numbers, variables, and operations *Expressions DO NOT have signs. Ex: If x = 3 6x = Ex: if y = 9..

Variable Expression: a collection of numbers, variables, and operations *Expressions DO NOT have signs. Ex: If x = 3 6x = Ex: if y = 9.. Algebra 1 Chapter 1 Note Packet Name Section 1.1: Variables in Algebra Variable: a letter that is used to represent one or more numbers Ex: x, y, t, etc. (*The most popular one is x ) Variable Values:

More information

UNIT 1: REAL NUMBERS.

UNIT 1: REAL NUMBERS. UNIT 1: REAL NUMBERS. Sets of Numbers: Natural Numbers: N={0,1,,, 4,, 6,...} In English books of Maths, the set of natural numbers is {1,,,4,...}, while the set of whole numbers is {0,1,,,4,...}, so there

More information

W igan LEA Numeracy Cent re. Year 5 Ment al Arit hmet ic Test s. Produced by W igan Numeracy Cent re Sept ember 2000

W igan LEA Numeracy Cent re. Year 5 Ment al Arit hmet ic Test s. Produced by W igan Numeracy Cent re Sept ember 2000 W igan LEA Numeracy Cent re Year 5 Ment al Arit hmet ic Test s Produced by W igan Numeracy Cent re Sept ember 000 Year Five Mental Arithmetic Test ( end of week ) 5 second response time. Write the number

More information

BASE PATTERNS A study of the patterns of reciprocals expressed in different bases of numeration.

BASE PATTERNS A study of the patterns of reciprocals expressed in different bases of numeration. BASE PATTERNS A study of the patterns of reciprocals expressed in different bases of numeration. The word fractional is introduced here to describe the representation of a fraction in positional notation;

More information

KINDERGARTEN Correlation of Project Learning Tree s PreK 8 Environmental Education Activity Guide with the Common Core Standards for Mathematics

KINDERGARTEN Correlation of Project Learning Tree s PreK 8 Environmental Education Activity Guide with the Common Core Standards for Mathematics KINDERGARTEN with the Common Core Stards for Mathematics KEY: + Check marks with a plus, mean the activity has a strong correlation to the stard PLT PreK 8 EE Activity 1. Know number names the count sequence

More information

Lesson 1: Natural numbers

Lesson 1: Natural numbers Lesson 1: Natural numbers Contents: 1. Number systems. Positional notation. 2. Basic arithmetic. Algorithms and properties. 3. Algebraic language and abstract reasoning. 4. Divisibility. Prime numbers.

More information

What is your current test average for the class? For more problems like these, see Section 1.7.

What is your current test average for the class? For more problems like these, see Section 1.7. Everyone has heard someone say, I m just no good at math. Chances are, you may have even said it yourself. What many people do not realize is that math is a language. And, just as with any other foreign

More information

Discrete mathematics is the study of techniques, ideas and modes of

Discrete mathematics is the study of techniques, ideas and modes of CHAPTER 1 Discrete Systems Discrete mathematics is the study of techniques, ideas and modes of reasoning that are indispensable in applied disciplines such as computer science or information technology.

More information

Revision papers for class VI

Revision papers for class VI Revision papers for class VI 1. Fill in the blanks; a. 1 lakh=--------ten thousand b. 1 million=-------hundred thousand c. 1 Crore=--------------million d. 1 million=------------1 lakh 2. Add the difference

More information

MATHS FACTS. fraction, 4 7, four sevenths. right angle. parallel lines. lines of equal length SYMBOLS. page 241

MATHS FACTS. fraction, 4 7, four sevenths. right angle. parallel lines. lines of equal length SYMBOLS. page 241 MATHS FACTS SYMBOLS + plus or add minus or subtract multiplied by, times, lots of divided by, into groups of = equals, is equal to is not equal to is approximately equal to < is less than, < 6 > is greater

More information

Math is Cool Masters

Math is Cool Masters 8th Grade November 19, 2005 Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable. Do not round any answers unless stated otherwise.

More information

LESSON ASSIGNMENT. After completing this lesson, you should be able to:

LESSON ASSIGNMENT. After completing this lesson, you should be able to: LESSON ASSIGNMENT LESSON 1 General Mathematics Review. TEXT ASSIGNMENT Paragraphs 1-1 through 1-49. LESSON OBJECTIVES After completing this lesson, you should be able to: 1-1. Identify and apply the properties

More information

Math Review. for the Quantitative Reasoning measure of the GRE General Test

Math Review. for the Quantitative Reasoning measure of the GRE General Test Math Review for the Quantitative Reasoning measure of the GRE General Test www.ets.org Overview This Math Review will familiarize you with the mathematical skills and concepts that are important for solving

More information

Name. Benchmark Test 1 Topics 1 4. Mark the best answer.

Name. Benchmark Test 1 Topics 1 4. Mark the best answer. Mark the best answer. 1. What is fifty-two billion in expanded form? A 50,000,000 2,000,000 B 5,000,000,000 2,000,000,000 C 50,000,000,000 200,000,000 D 50,000,000,000 2,000,000,000 2. Find 805.03 1,000.

More information

NUMBERS AND CODES CHAPTER Numbers

NUMBERS AND CODES CHAPTER Numbers CHAPTER 2 NUMBERS AND CODES 2.1 Numbers When a number such as 101 is given, it is impossible to determine its numerical value. Some may say it is five. Others may say it is one hundred and one. Could it

More information

Apply basic properties of real and complex numbers in constructing mathematical arguments (e.g., if a < b and c < 0, then ac > bc)

Apply basic properties of real and complex numbers in constructing mathematical arguments (e.g., if a < b and c < 0, then ac > bc) ALGEBRA (SMR Domain ) Algebraic Structures (SMR.) Skill a. Apply basic properties of real and complex numbers in constructing mathematical arguments (e.g., if a < b and c < 0, then ac > bc) Basic Properties

More information

Radical Expressions and Functions What is a square root of 25? How many square roots does 25 have? Do the following square roots exist?

Radical Expressions and Functions What is a square root of 25? How many square roots does 25 have? Do the following square roots exist? Topic 4 1 Radical Epressions and Functions What is a square root of 25? How many square roots does 25 have? Do the following square roots eist? 4 4 Definition: X is a square root of a if X² = a. 0 Symbolically,

More information

Washington State Math Championship Mental Math Grades 5

Washington State Math Championship Mental Math Grades 5 Washington State Math Championship 2006 Mental Math Grades 5 1. What is the volume of a cube with edge 0.5? 2. What is the perimeter of a square that has an area 64? 3. What is one ninth times 207? 4.

More information

Lesson Plan by: Stephanie Miller

Lesson Plan by: Stephanie Miller Lesson: Pythagorean Theorem and Distance Formula Length: 45 minutes Grade: Geometry Academic Standards: MA.G.1.1 2000 Find the lengths and midpoints of line segments in one- or two-dimensional coordinate

More information