CLICKERS!!!!! Multiply.

Transcription

1 CLICKERS!!!!! Multiply x x x x x x x x 10-4

2 CLICKERS!!!!! Multiply x x x x x x x x 10-4

3 Today's Agenda: 1. Bell Work: Multiplication problems 2. Assignment Sheet 3. Notes: Ch. 4-4 Scientific Notation

4 Lesson Objective: After the end of the lesson students will express large and small numbers with scientific notation by using the clickers. HW: WS: 4-4 Practice B (Both Sides)

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6 Number, Number Sense and Operations Standard 1. Use scientific notation to express large numbers and small numbers between 0 and 1.

7 Scientific Notation - a method of writing very large or very small numbers by using powers of 10

8 scientific notation October 01, 2012

9 Must be greater than or equal to 1 and less than 10. Always multiply X Always power of 10 Power positive if big number negative if small number

10 Sort the given values. Written in proper scientific notation x x x x 6 7 Not written in proper scientific notation

11 Here are some helpful hints!

12 To change scientific notation to standard notation, just reverse the steps x ,600,000 ) ) ) ) ) ) ) Move the decimal point the same number of places to the right as the exponent.

13 Writing Scientific Notation in Standard Notation Write the number in Standard Notation x 10 5 Think: Move the decimal right 5 places. 2.7 x 10-3 Think: Move the decimal left 3 places.

14 With a partner, work on #1-4 pp. 13 October 01, 2012

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16 Which shows 4.56 x in standard notation. A B. 4,560,000,000,000 C. 456,000,000,000,000 D

17 Which shows 3.27 x in standard notation. A B. 327,000,000,000 C. 32,700,000,000,000 D

18 Which shows x 10-8 in standard notation. A B. 8,008,000,000,000 C. 800,800,000,000 D

19 Which shows 8 x in standard notation. A B. 80,000,000,000 C. 8,000,000,000 D

20 Which shows 6 x in standard notation. A B. 6,000,000,000,000 C. 600,000,000,000 D

21 Which shows 8.6 x in standard notation. A B. 86,000,000,000,000 C. 860,000,000,000,000 D

22 To write a number in scientific notation, first move the decimal point to the left to make a number greater that or equal to 1 and less than 10. Then multiply the number by 10 raised to a power, 10 n. The exponent (n) is equal to the number of places the decimal point has been moved. 51,600, x 10 7 ) ) ) ) ) ) ) Move the decimal point to make a number from 1 to less than 10. Raise 10 to the 7th power because you have moved the decimal point 7 places.

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24 Very small number are also often written in scientific notation = 2.4 x 10-3 For small numbers, the decimal point is moved to the right and the exponent is a negative integer.

25 Standard Form Scientific Notation Write in scientific notation = 3.0 x 10-6

26 Let's try one!!! Write in scientific notation.

27 Scientific Notation Writing Standard Notation in Scientific Notation 6,980,000 = = 6,980,000 = = =

28 Writing Standard Notation in Scientific Notation 5, ,057, ,407,118, pp12

29 Which shows in scientific notation? A x 10 5 B x 10 4 C x 10-5 D x 10-4

30 Which shows in scientific notation? A. 4.2 x B. 4.2 x C..42 x D. 4.2 x 10 11

31 Which shows in scientific notation? A. 2 x B. 2 x C..2 x D. 2 x 10-14

32 Which shows 25,000,000,000,000,000 in scientific notation? A. 2.5 x B. 2.5 x C..25 x D. 2.5 x 10-16

33 Which shows 25,005,000,000,000 in scientific notation? A x 10 9 B x 10 9 C x D x 10-13

34 Which shows 2,000,000,000,000 in scientific notation? A. 2 x B. 2 x C..2 x D. 2 x 10 14

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37 Comparing numbers written in Scientific Notation Step 1.: First compare the powers of ten. The number with the bigger exponent is the greater number in scientific notation. 3.2 x 10 6 > or < 2.4 x 10 4 pp13

38 Comparing numbers written in Scientific Notation Step 2. : If the powers of ten are the same, compare the values that area between 1 and 10. The larger value implies the larger number. 2.6 x 10 5 > or < 6.9 x 10 5 pp13

39 Example Step 1: Compare powers of 10. Step 2: Compare values between 1 and 10.. Answer - Red blood cell

40 Example Step 1: Compare powers of 10. Answer - Dust Mite

41 Scientific Notation in the TI 30 Calculators October 01, 2012

42 The human eye blinks about 6.25 x 10 6 times each year. About how many times has the eye of a 14 year old blinked? Write the answer in scientific notation. October 01, 2012

43 In the United States there were 7.65 x 10 8 pieces of pizza consumed in The U.S. population was 2.9 x 10 8 people. What was the average amount of pizza consumed per person in 2011?

44 The mass of the Mercury is 9.89x10 15 kilograms. The mass of the earth is 5.98x10 24 kilograms. How many times bigger is the earth than mercury?

45 The population of Mathville is 8.6x10 4. The population of Algeville is 4.3x10 6. How many more people are there in Algeville? The population of Mathville is 9.6x10 3. The population of Algeville is 7.3x10 8. What is the difference in population between the two cities?

46 6. A human body contains about 5.6 x 10 6 micro liters of blood. Write this number in standard notation. October 01, 2012

47 Homework #17 Worksheet # 4-4B pp14 Have a great day!!!

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56 CLICKERS!!!! October 01, 2012

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61 Quick Review Evaluate. Write each answer as a single power (-4 6 ) -3 = 4 3 x 4 2 = (6 10 ) 3 =

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