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

• scientific notation

• Express numbers in scientific notation.

Express Numbers in Standard Form

Write 9.62 × 105 in standard form.

9.62 × 105 = 962,000 The decimal point moves 5 places to the right.

Answer: 962,000

1. A

2. B

3. C

4. D0% 0%0%0%

A. 532

B. 5,320

C. 53,200

D. 532,000

Write 5.32 × 104 in standard form.

Express Numbers in Standard Form

Write 2.85 × 10–6 in standard form.

2.85 × 10–6 = 0.00000285 The decimal point moves 6 places to the left.

Answer: 0.00000285

1. A

2. B

3. C

4. D0% 0%0%0%

A. 0.000381

B. 0.00381

C. 0.0381

D. 0.381

Write 3.81 × 10–4 in standard form.

Write Numbers in Scientific Notation

Write –931,500,000 in scientific notation.

–931,500,000 = –9.315 × 100,000,000 The decimal point moves 8 places.

Answer: –9.315 × 108

= –9.315 × 108 The exponent is positive.

1. A

2. B

3. C

4. D0% 0%0%0%

A. 3.56 × 104

B. 3.56 × 105

C. 3.56 × 106

D. 3.56 × 107

Write 35,600,000 in scientific notation.

Write 0.00443 in scientific notation.

0.00443 = 4.43 × 0.001 The 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. D0% 0%0%0%

A. 6.53 × 10–3

B. 6.53 × 10–4

C. 6.53 × 10–5

D. 6.53 × 10–6

Write 0.000653 in scientific notation.

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.

Step 1

>

Jupiter, Neptune, Saturn, Uranus

Earth, Mars, Mercury, Venus

7.14 × 104

2.43 × 104

6.0 × 104

2.54 × 104

6.38 × 103

3.40 × 103

2.44 × 103

6.05 × 103

Step 2

7.14 × 104 > 6.0 × 104 > 2.54 × 104 > 2.43 × 104

Answer: The order from largest to smallest is Jupiter, Saturn, Uranus, Neptune, Earth, Venus, Mars, and Mercury.

Jupiter Saturn Uranus Neptune

Earth Venus Mars Mercury

6.38 × 103 > 6.05 × 103 > 3.40 × 103 > 2.44 × 103

1. A

2. B

3. C

4. D0% 0%0%0%

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.

End of the Lesson

Five-Minute Check (over Lesson 2–9)

Image Bank

Math Tools

Multiplying Fractions

Multiplying and Dividing Fractions

1. A

2. B

3. C

4. D0% 0%0%0%

A. 9c

B. 9c

C. c8

D. c9

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. D0% 0%0%0%

A. 85

B. 84

C. 54

D. 58

Write the expression 8 8 8 8 8 using exponents.

(over Lesson 2-9)

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 2-9)

A. (y2)(x6)

B.

C.

D. (x7)(y2)

1. A

2. B

3. C

4. D0% 0%0%0%

A. 18

B. 81

C. 128

D. 512

Evaluate 29.

(over Lesson 2-9)

1. A

2. B

3. C

4. D0% 0%0%0%

Evaluate 6(–3).

(over Lesson 2-9)

A.

B.

C. 36

D. 216

1. A

2. B

3. C

4. D0% 0%0%0%

A. m3n5p3

B. m3n3p3

C. m5n3p5

D. m5n3p3

Write m n m p m n m p n m p using exponents.

(over Lesson 2-9)