Standard <> Scientific
Exponent Rules
Which is Greater?
Real-World Science
Missing Number / Reverse it
100

Write 4,500 in scientific notation

4.5 x 103

100

Simplify: 10³ × 10²

10⁵

100

Which is greater: 10² or 10³?

10³

100

A strand of human DNA is approximately 2.5 × 10⁻⁹ meters wide. Write this in standard form.

Be sure to label the units in your answer.

0.0000000025 m

100

5 × 10³ = ? in standard form

5,000

200

Write 0.00072 in scientific notation

7.2 x 10-4

200

Simplify: 10⁷ ÷ 10³

10⁴

200

Which is greater: 500 or 5 × 10²?

They are equal

200

Earth is approximately 1.5 × 10⁸ km from the Sun. Write this distance in standard form.

Be sure to label the units in your answer.

150,000,000 km

200

? × 10⁴ = 700,000

70

300

Write 6.03 x 105 in standard form

603,000

300

Simplify: (10³)²

10⁶

300

Which is greater: 7 × 10⁴ or 65,000?

7 × 10⁴

300

A microscopic organism is 0.000004 m long. Write its length in scientific notation.

Be sure to label the units in your answer.

4 × 10⁻⁶ m

300

4.2 × 10ⁿ = 42,000. Find n.

4

400

Write 8.04 x 10-6 in standard form

0.00000804

400

Simplify: 10⁻² × 10⁵

10³

400

Which is greater: 3.2 × 10⁻³ or 0.00032?

3.2 × 10⁻³

400

A certain bacteria population contains 3 × 10⁵ cells. Another contains 6 × 10³ cells. How many times larger is the first population?

Be sure to label the units in your answer.

50 times

400

? × 10⁻³ = 0.0067. Find ?.

6.7

500

A number is written as 0.000000391. Write it in scientific notation and explain how you know the exponent is negative.

3.91 × 10⁻⁷; the decimal moves 7 places to the right, so the exponent is negative.

500

Without a calculator, simplify: (10⁻³ × 10⁷) ÷ 10²

10²

500

Which statement is true?
A. 10² is 2 times as large as 10⁰
B. 10² is 10 times as large as 10⁰
C. 10² is 100 times as large as 10⁰
D. 10² is 1,000 times as large as 10⁰

C. 10² is 100 times as large as 10⁰

500

A scientist measures two distances: 4.8 × 10⁷ m and 6 × 10⁴ m. How many times farther is the first distance than the second?

Be sure to label the units in your answer.

800 times

500

3.5 × 10⁶ is how many times as large as 3.5 × 10³?

1,000 times

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