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Lesson Menu Five-Minute Check (over Lesson 2–9) Main Idea and Vocabulary Key Concept: Scientific Notation to Standard Form Example 1:Express Numbers in Standard Form Example 2:Express Numbers in Standard Form Key Concept: Standard Form to Scientific Notation Example 3:Write Numbers in Scientific Notation Example 4:Write Numbers in Scientific Notation Example 5:Real-World Example

Main Idea/Vocabulary scientific notation Express numbers in scientific notation.

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Example 1 Express Numbers in Standard Form Write 9.62 × 10 5 in standard form × 10 5 = 962,000The decimal point moves 5 places to the right. Answer: 962,000

1.A 2.B 3.C 4.D Example 1 A.532 B.5,320 C.53,200 D.532,000 Write 5.32 × 10 4 in standard form.

Example 2 Express Numbers in Standard Form Write 2.85 × 10 –6 in standard form × 10 –6 = The decimal point moves 6 places to the left. Answer:

1.A 2.B 3.C 4.D Example 2 A B C D Write 3.81 × 10 –4 in standard form.

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Example 3 Write Numbers in Scientific Notation Write –931,500,000 in scientific notation. –931,500,000 = –9.315 × 100,000,000The decimal point moves 8 places. Answer: –9.315 × 10 8 = –9.315 × 10 8 The exponent is positive.

1.A 2.B 3.C 4.D Example 3 A.3.56 × 10 4 B.3.56 × 10 5 C.3.56 × 10 6 D.3.56 × 10 7 Write 35,600,000 in scientific notation.

Example 4 Write in scientific notation = 4.43 × 0.001The decimal point moves 3 places. Answer: 4.43 × 10 –3 Write Numbers in Scientific Notation = 4.43 × 10 –3 The exponent is negative.

1.A 2.B 3.C 4.D Example 4 A.6.53 × 10 –3 B.6.53 × 10 –4 C.6.53 × 10 –5 D.6.53 × 10 –6 Write in scientific notation.

Example 5 PLANETS The table lists the average radius at the equator for each of the planets in our solar system. Order the planets according to radius from largest to smallest. First order the numbers according to their exponents. Then order the numbers with the same exponents by comparing the factors.

Example 5 Step 1 > Jupiter, Neptune, Saturn, Uranus Earth, Mars, Mercury, Venus 7.14× × × × × × × ×10 3

Example 5 Step × 10 4 > 6.0 × 10 4 > 2.54 × 10 4 > 2.43 × 10 4 Answer: The order from largest to smallest is Jupiter, Saturn, Uranus, Neptune, Earth, Venus, Mars, and Mercury. JupiterSaturnUranusNeptune EarthVenusMarsMercury 6.38 × 10 3 > 6.05 × 10 3 > 3.40 × 10 3 > 2.44 × 10 3

1.A 2.B 3.C 4.D Example 5 A.Jupiter, Saturn, Neptune, Uranus, Earth, Venus, Mars, Mercury B.Jupiter, Saturn, Uranus, Neptune, Earth, Venus, Mercury, Mars C.Saturn, Jupiter, Neptune, Uranus, Venus, Earth, Mars, Mercury D.Mercury, Mars, Earth, Venus, Uranus, Saturn, Neptune, Jupiter PLANETS The table lists the mass for each of the planets in our solar system. Order the planets according to mass from largest to smallest.

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Resources Five-Minute Check (over Lesson 2–9) Image Bank Math Tools Multiplying Fractions Multiplying and Dividing Fractions

1.A 2.B 3.C 4.D Five Minute Check 1 A.9c B.9 c C.c 8 D.c 9 Write the expression c  c  c  c  c  c  c  c  c using exponents. (over Lesson 2-9)

1.A 2.B 3.C 4.D Five Minute Check 2 A.8 5 B.8 4 C.5 4 D.5 8 Write the expression 8  8  8  8  8 using exponents. (over Lesson 2-9)

1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 2-9) A.(y 2 )(x 6 ) B. C. D.(x 7 )(y 2 )

1.A 2.B 3.C 4.D Five Minute Check 4 A.18 B.81 C.128 D.512 Evaluate 2 9. (over Lesson 2-9)

1.A 2.B 3.C 4.D Five Minute Check 5 Evaluate 6 (–3). (over Lesson 2-9) A. B. C.36 D.216

1.A 2.B 3.C 4.D Five Minute Check 6 A.m 3 n 5 p 3 B.m 3 n 3 p 3 C.m 5 n 3 p 5 D.m 5 n 3 p 3 Write m  n  m  p  m  n  m  p  n  m  p using exponents. (over Lesson 2-9)

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