# Simplify each expression • • 10– • 105

## Presentation on theme: "Simplify each expression • • 10– • 105"— Presentation transcript:

Simplify each expression. 1. 6 • 104 2. 7 • 10–2 3. 8.2 • 105
Scientific Notation ALGEBRA 1 LESSON 8-2 Simplify each expression. 1. 6 • • 10– • 105 4. 3 • 10– • • 102 7. Simplify 3     10–1. 8-2

Scientific Notation Solutions 1. 6 • 104 = 6 • 10,000 = 60,000
ALGEBRA 1 LESSON 8-2 Solutions 1. 6 • 104 = 6 • 10,000 = 60,000 2. 7 • 10–2 = 7 • 0.01 = 0.07 • 105 = 8.2 • 100,000 = 820,000 4. 3 • 10–3 = 3 • = 0.003 • 101 = 3.4 • 10 = 34 • 102 = 5.24 • 100 = 524 7. 3     10–1 = (3  102) + (6  101) + (7  100) + (8  10–1) = (3  100) + (6  10) + (7  1) + (8  0.1) = = 367.8 8-2

Is each number written in scientific notation? If not, explain.
ALGEBRA 1 LESSON 8-2 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. 8-2

Write each number in scientific notation.
ALGEBRA 1 LESSON 8-2 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. 8-2

Write each number in standard notation.
Scientific Notation ALGEBRA 1 LESSON 8-2 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. = 8-2

Scientific Notation ALGEBRA 1 LESSON 8-2 List the planets in order from least to greatest distance from the sun. Jupiter Earth Neptune Mercury 4.84  108 mi 9.3  107 mi 4.5  109 mi 3.8  107 mi Planet Distance from the Sun Order the powers of 10. Arrange the decimals with the same power of 10 in order. 8-2

Mercury Earth Jupiter Neptune
Scientific Notation ALGEBRA 1 LESSON 8-2 (continued) Jupiter Earth Neptune Mercury 4.84  108 mi 9.3  107 mi 4.5  109 mi 3.8  107 mi Planet Distance from the Sun 3.8     109 Mercury Earth Jupiter Neptune From least to greatest distance from the sun, the order of the planets is Mercury, Earth, Jupiter, and Neptune. 8-2

Write each number in scientific notation.
ALGEBRA 1 LESSON 8-2 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 8-2

Simplify. Write each answer using scientific notation.
ALGEBRA 1 LESSON 8-2 Simplify. Write each answer using scientific notation. Use the Associative Property of Multiplication. (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. Use the Associative Property of Multiplication. (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. 8-2

1. Write each number in scientific notation. a. 0.00627 b. 3,486,000
ALGEBRA 1 LESSON 8-2 1. Write each number in scientific notation. a.  b.  3,486,000 2. Write each number in standard form. a.  9.4  104 b.  2.3  10–6 3. Order the following numbers from least to greatest. 0.98  10–1, 1.6  103, 2.4  10–1, 11  100 4. Simplify. Write the answer in scientific notation. 7(6.1  10–2) 6.27  10–3 3.486  106 94,000 0.98  10–1, 2.4  10–1, 11  100, 1.6  103 4.27  10–1 8-2