Standard to Scientific
Scientific to Standard
(Negative)
Scientific to Standard (Positive)
Operations
Define
100

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

7.5 x 106

100

Write this in standard notation: 3.6 x 10-4

0.00036

100

Write this in standard notation: 2.4 x 103

2400

100

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

What is 8 x 108?

100

Why do we use scientific notation?

To represent very small or very large numbers.

200

Convert this from standard notation into scientific notation: 0.000037

3.7 x 10-5

200

Write this in standard notation: 7.45 x 10-2

0.0745

200

Write this in standard notation: 7.12 x 106

7,120,000

200

Divide and express in scientific notation: (4.2 x 106)/(2 x 10-2)

What is 2.1 x 108?

200

What does a positive exponent mean?

The number is large.

300

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

6.3 x 109

300

Write this in standard notation: 5.9 x 10-8

0.000000059

300

Write this in standard notation: 5.231 x 107

52,310,000

300

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

What is 8.671 x 104?

300

What does a negative exponent represent?

A very small number

400

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

5.45 x 104

400

Write this in standard notation: 1.11 x 10-11

0.0000000000111

400

Write this in standard notation: 8.35 x 1012

8,350,000,000,000

400

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

What is 6.07 x 104?

400

The very first part of a number written in scientific notation must be written how?

The very first part of a number written in scientific notation must be a number between 1 and 10.

500

Convert this from standard notation into scientific notation: 0.0021

2.1 x 10-3

500

Write this in standard notation: 9.145 x 10-5

0.00009145

500

Write this in standard notation: 9 x 1010

90,000,000,000

500

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

What is 1.00534 x 10-3?

500

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

The coefficent