 # Section 8.2 Scientific Notation

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Section 8.2 Scientific Notation

is written in the form: a x 10n Where n is an integer a is between
Scientific Notation is written in the form: a x 10n Where n is an integer a is between <10

Is each number written in scientific notation? If not, explain.
Lesson 8-2 Additional Examples Is each number written in scientific notation? If not, explain. a  104 No; is less than 1. b  10–2 yes c  106 No; is greater than 10.

Write each number in scientific notation.
Lesson 8-2 Additional Examples Write each number in scientific notation. a. 234,000,000 Move the decimal point 8 places to the left and use 8 as an exponent. 234,000,000 = Drop the zeros after the 4. 2.34  108 b Move the decimal point 5 places to the right and use –5 as an exponent. = 6.3  10–5 Drop the zeros before the 6.

Write each number in standard notation.
Scientific Notation Lesson 8-2 Additional Examples Write each number in standard notation. a. elephant’s mass: 8.8  104 kg 8.8  104 = A positive exponent indicates a number greater than 10. Move the decimal point 4 places to the right. = 88,000 b. ant’s mass: 7.3  10–5 kg   7.3  10–5 = A negative exponent indicates a number between 0 and 1. Move the decimal point 5 places to the left. =

Write each number in scientific notation.
Lesson 8-2 Additional Examples Order  105, 6.03  104, 6103, and 63.1  103 from least to greatest. Write each number in scientific notation.    103 6.3     104 Order the powers of 10. Arrange the decimals with the same power of 10 in order. 6.3     104 Write the original numbers in order.    103

Simplify. Write each answer using scientific notation.
Lesson 8-2 Additional Examples Simplify. Write each answer using scientific notation. (6 • 8)  10–4 = a. 6(8  10–4) = 48  10–4 Simplify inside the parentheses. = 4.8  10–3 Write the product in scientific notation. (0.3 • 1.3)  103 = b. 0.3(1.3  103) = 0.39  103 Simplify inside the parentheses. = 3.9  102 Write the product in scientific notation.

Homework Pg 2-32evens 44