9th,Per.3,Team+1

media type="google" key="-7798478352732712972&hl=en&fs=true" width="400" height="326" Chapter 7: Exponents  Scientific Notation Chris Chapter 7 – Exponents – Scientific Notation Section 7-2 1.  Vocabulary -       __Scientific Notation__ – a way of writing a number as the product of two factors in the form of a x 10^n 2.  Writing numbers in Scientific Notation and Standard Notation a)  Recognizing Scientific Notation     (I)   4.7 x 10^3 -       yes     (II)   32.8 x 10^6 -       No, it can only be one decimal point     (III)   .47 x 10^2 -       No, it must be one decimal point     b)   Writing a number in Scientific Notation (I)  47,390 -       You move the decimal point 4 places left You then have 4.7390 To make it scientific notation it becomes 4.739 x 10^4 (II)  0.0673 -       You move the decimal point 2 places right You then have 6.73 To make it scientific notation it becomes 6.73 x 10^-2 c)  Writing a number in Standard Notation     (I)   4.7 x 10^4 -       Since the exponent is positive 4 you are moving the decimal point 4 places to the right    This gives you 47,000     (II)   5.3 x 10^-5 -   Since the exponent is negative 5 you are moving the decimal point 5 places to the left        This gives you 0.000053     3.   Using Scientific Notation      a)   Application -       You can compare numbers written in scientific notation by looking at the exponent first then the number and putting them in order. b)  Using Scientific Notation to order numbers     (I)   Make sure all numbers are in correct scientific notation then compare the exponents & numbers     (II)   2.3 x 10^4, 6.5 x10^2, 32 x 10^2, 8.7 x 10^-2, 2.1 x 10^-4     (i)   32 x 10^2 must be changed to 3.2 x 10^3     (ii)   Looking at exponents first        2.1 x 10^-4    8.7 x 10^-2    6.5 x 10^2    3.2 x 10^3       2.3 x 10^4     c)   Multiplying a number in Scientific Notation (I)  4(3.2 x 10^2) 12.8 x 10^2 1.28 x 10^3 (II)  7(5.6 x 10^-2) 39.2 x 10^-2 3.92 x 10^-1 4.  Practice Exercises 1)  Is each of the following in Scientific notation? If not explain.

a)  5.2 x 10^4     b)   89 x 10^2 c)  0.023 x 10^3     d)   7.2 x 10^-3

2)  Write in standard form     a)   4.3 x 10^4 b)  6.23 x 10^-4     c)   9.1 x 10^5 d)  2.123 x 10^-6

3)  Write in Scientific Notation     a)   9,324,672 b)  0.000765     c)  45,654 d)  0.008090

4)  Order from least to greatest     a)   3.2 X 10^3, 4.2 X 10^2, 3.3 X 10^-3, 9.2 X 10^-3 b)  62.2 X 10^2, 6.2 X 10^2, 6.2 X 10^-2, 62.2 X 10^-2     5)   Multiply, write each answer using Scientific Notation

a)  8(3.2 x 10^3)     b)   2(2.1 x 10^-3) c)  9(8.9 x 10^-1)     d)   0.3(7.2 x10^2)  Chapter 7 Lesson 2 Videos See top of page

Chapter 7 Lesson 2 Practice Exercises Answers Is each of the following in Scientific notation? If not explain. a) 5.2 x 10^4 -  ye  b)  89 x 10^2 -  no must be 8.9 x 10^3  c)  0.023 x 10^3 -  no must be 2.3 x 10^1  d)  7.2 x 10^-3 -  yes Write in standard form a) 4.3 x 10^4 =  43,000  b)  6.23 x 10^-4 =  0.000623  c)  9.1 x 10^5 =  910,000  d)  2.123 x 10^-6 =  0.000002123 Write in Scientific Notation

a) 9,324,672 =  9.3 x 10^6   b)  0.000765 =  7.65 x 10^-4 c) 45,654 =  4.5 x 10^4   d)  0.008090 =  8.090 x 10^-3 Order from least to greatest

a) 3.2 X 10^3, 4.2 X 10^2, 3.3 X 10^-3, 9.2 X 10^-3    3.3 x 10^-3, 9.2 x 10^-3, 4.2 x 10^2, 3.2 x 10^3   b)  62.2 X 10^2, 6.2 X 10^2, 6.2 X 10^-2, 62.2 X 10^-2 6.2 x 10^-2, 6.22 x 10^-1, 6,2 x 10^2, 6.22 x 10^3 Multiply, write each answer using Scientific Notation a) 8(3.2 x 10^3) = 25.6 x 10^3 = 2.5 x 10^4  b)  2(2.1 x 10^-3) = 4.2 x 10^-3 c) 9(8.9 x 10^-1) = 80.1 x 10^-1 = 8.01 x 10^0  d)  0.3(7.2 x10^2) = 2.16 x 10^2 [|Scientific Notation Purpose Game]  Alonnah, Bobbie, Chris