Scientific Notation

Standard to Scientific

100

Convert this from standard notation to scientific notation: 7,500,000

7.5 x 10⁶

200

Convert this from standard notation into scientific notation: 0.000037

3.7 x 10^-5

300

Convert this from standard notation into scientific notation: 6,300,000,000

6.3 x 10⁹

400

Convert this from standard notation into scientific notation: 54,500

5.45 x 10⁴

500

Convert this from standard notation into scientific notation: 0.0021

2.1 x 10^-3

Scientific to Standard (Negative)

100

Write this in standard notation: 3.6 x 10^-4

0.00036

200

Write this in standard notation: 7.45 x 10^-2

0.0745

300

Write this in standard notation: 5.9 x 10^-8

0.000000059

400

Write this in standard notation: 1.11 x 10^-11

0.0000000000111

500

Write this in standard notation: 9.145 x 10^-5

0.00009145

Scientific to Standard (Positive)

100

Write this in standard notation: 2.4 x 10³

2400

200

Write this in standard notation: 7.12 x 10⁶

7,120,000

300

Write this in standard notation: 5.231 x 10⁷

52,310,000

400

Write this in standard notation: 8.35 x 10¹²

8,350,000,000,000

500

Write this in standard notation: 9 x 10¹⁰

90,000,000,000

Operations

100

Multiply and express in scientific notation: (2 x 10⁶)(4 x 10²)

What is 8 x 10⁸?

200

Divide and express in scientific notation:

(4.2 x 10^6)/(2x10^-2)

What is 2.1 x 10⁸?

300

Add and express in scientific notation: (7.1 x 10²)+(8.604 x 10⁴)

What is 8.671 x 10⁴?

400

Subtract and express in scientific notation: (6.67 x 10⁴) - (6 x 10³)

What is 6.07 x 10⁴?

500

Multiply and express in scientific notation: (6.02 x 10²³)(1.67 x 10^-27)

What is 1.00534 x 10^-3?

Word Problems

100

Same had 3 x 10³ oranges and shared them equally among his 5 friends. What math operation would you use to do this problem to figure out how many oranges each of his friends had?

Division

200

A monkey's heart beats 4.2 x 10³ seconds per minute. How many seconds would their heart beat in 2 x 10⁵ days? Which math operation would you use to solve this?

multiplication

300

The speed of light is approximately 2.3 x 10⁵ meters per second.  How far does light travel in 4.2 x 10⁴ seconds? Write your answer in scientific notation.

9.66 x 10⁹

400

There were 5.36 x 10⁷ flowers at a festival. After the festival was over, they were split equally among 2 x 10³ townspeople. How many flowers did they each have? Write your answer in scientific notation.

2.68 x 10⁴

500

What is the name for the first part of a number that is represented in scientific notation?

The coefficent or leading number