Scientific Notation

Scientific to Standard

100

Convert to standard notation: 4.7 × 10⁴

47,000

200

Convert to standard notation: 8.923 X 10²

892.3

300

Convert to standard notation: 987 X 10⁵

98,700,000

400

Convert to standard notation: 3 X 10⁶

3,000,000

500

Convert to standard notation: 3.425 X 10⁸

342,500,000

Standard to Scientific

100

Convert to scientific notation: 234000

2.34 X 10⁵

200

Convert to scientific notation: 25,360

2.536 X 10⁴

300

Convert to scientific notation: 8,000,000

8 X 10⁶

400

Convert to scientific notation: 734,239

7.34239 X 10⁵

500

Convert to scientific notation: 45,300

4.53 X 10⁴

Exponent Rules

100

10⁵ ×10³

10⁸

200

5¹² ÷ 5⁵

5⁷

300

(8³)⁴

8¹²

400

7⁴ ×10⁴

70⁴

500

54673⁰ ×10⁵

10⁵

Operations and SN

100

(3.2×10⁴)+(5.7×10⁴)

8.9 ×10⁴

200

(9.1×10⁶)−(2.3×10⁶)

6.8×10⁶

300

(4.5×10³)(2.0×10⁵)

9×10⁸

400

8.4×10⁷ ÷ 2.1 ×10³

4×10⁴

500

(9.8 ×10⁶)+(4.2 ×10⁵)

1.022×10⁷

Operation and SN Word Problems

100

A small town has a population of 3.7 × 10⁴ people. A nearby town has 5.2 × 10⁴ people. What is the combined population of the two towns?

8.9× 10⁴

200

A comet travels 6.4 × 10⁵ miles in one hour. How far will it travel in 3.0 × 10² hours? Express your answer in scientific notation.

1.92× 10⁸

300

A company manufactures 8.5 × 10³ smartphones per day. If they manufacture phones for 2.6 × 10² days, how many phones are produced? Express your answer in scientific notation.

2.21× 10⁶

400

A laboratory recorded 7.2 × 10⁸ bacteria in a sample. If the bacteria are divided equally into 9.0 × 10⁴ containers, how many bacteria are in each container?
Express your answer in scientific notation.

8× 10³

500

A star is 5.9 × 10⁸ miles away from Earth. Another star is 2.4 × 10⁷ miles away. What is the difference in their distances from Earth?
Express your answer in scientific notation.

5.66 × 10⁸