Scientific Notation. Essential Question: How can I convert between scientific notation and standard form?

Transcription

1 Aim: Scientific Notation Essential Question: How can I convert between scientific notation and standard form? Vocabulary: Scientific notation, decimal notation, standard notation, power of ten, units of measure is used for very LARGE and very SMALL numbers.

2 A number written in consists of two parts: (1) a number greater than or equal to 1 and less than 10 1 c < 10 (2) and 10 n 3.2 x is CORRECT 23 x 10 8 is INCORRECT. Why? 23 is greater than 10. Sort the given values. Written in proper Not written in proper

3 Scientific notation is used to write really big numbers. standard form 7.82 x x 10 5 x = 7.82 x 1000 = 7, x 100,000,000 = 304,000,000 5 x 10,000= 50, x x 10,000,000,000 = 62,103,000,000 The exponent tells you how many decimal places you need to move. Scientific notation is used to write really big numbers. (standard form) decimal notation 123,000,000,000 = _. x ,000,000 = 4.5 x 10 7 Move the decimal point so there is one number to the left of the decimal point. 67,800,000,000,000 9,000 = 6.78 x Use the star to count the number of decimal places. The amount of moves will give you the exponent value.

4 Using a Calculator with Scientific Notation Being able to perform computations by hand is a very good review of the properties of exponents. Once the concept is understood, a calculator can be used to check our work. The calculator is using the notation 9.3 E 7 to mean 9.3 x To insert the E into a calculation, press 2nd (x -1 ), The face of the calculator reads EE above the x -1 key, but only one E will appear on the screen for your. An example of a really big number. Please write it in. As the planets orbit the sun, the closest Pluto gets to Earth is approximately 2,700,000,000 miles. 2.7 x 10 9

5 An example of a really big number. Please write it in. The speed of light in a vacuum is approximately 186,000 miles per second x 10 5 Scientific Notation is used for very big numbers and very small numbers. Use positive exponents for very big numbers. 4,750,000 = 4.75 x 10 6 A positive exponent means to multiply by moving the decimal to the right. Use negative exponents for very small numbers = 7.89 x 10 4 A negative exponent means to divide by moving the decimal to the left.

6 Scientific notation is used to write really small numbers. (standard form) decimal notation = 3.4 x x = 6.4 x = 7 x 10-3 Move the star to count the number of decimal places. The amount of moves will give you the exponent value. Scientific notation is used to write really small numbers. (standard form) decimal notation 4.8 x x = = The exponent tells you how many decimal places you need to move. 9 x 10 2 = x 10 5 =

7 An example of a really small number. Please write it in. Human fingernails grow at a rate of about inches per day x 10-3 An example of a really small number. Please write it in. The thickness of a red blood cell is approximately of an inch x 10-4

8 How do you know that a number written in will be really big or really small? Look at the magnitude (exponent). Big numbers will have positive exponents. Small numbers will have negative exponents.

9 Attachments 8Understanding_Scientific_Notation_HW_2.1[1].doc 10Multiplying_and_Dividing_in_Scientific_Notation_HW_2.2[1].doc 11Solve_Problems_Using_Scientific_Notation_HW_2.3[1].doc adding and subtracting in scientific notation with answers.doc SCIENTIFIC_NOTATION_CUMULATIVE_TEST.doc Scientific_Notation_Review.doc Scientific_Notations_All Operations_w.s..doc scientific notation assessment.doc scientific notation TEST ALSO.doc SPACE_INVADERS_GAME _SCIENTIFIC_NOTATION.doc Sci Notation Practice all operations.doc Mult Div RaisePower scientific notation practice.pdf Write in Sci Not practice.pdf mathshell sci not pblm.pdf mathshell sci not questions also.pdf 9Adding_and_Subtracting_in_Scientific_Notation.doc