# Scientific Notation

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Note: You will find guidance and examples on using scientific notation here.

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## Scientific Notation (page 1 of 2)

Name:______________________

Complete the number sentences below using a number between 1 and 10 multiplied by a power of 10 and then write the number using scientific notation. (the first one is done for you)

3,100

3,400

52,000

105,000

93,300,000

= 3.1 x 1,000

= 3.4 x 1,000

= 5.2 x 10,000

= 1.05 x 100,000

= 9.33 x 10,000,000

= 3.1 x 103

= 3.4 x 103

= 5.2 x 104

= 1.05 x 105

= 9.33 x 107

Write the numbers below using scientific notation.

110,000 = 1.1 x 105

72,000 = 7.2 x 104

9,100,000 = 9.1 x 106

250,000 = 2.5 x 105

107,000,000,000 = 1.07 x 1011

245,000,000 = 12.45 x 108

6,000,000,000,000 = 6 x 1012

18,102,000 = 1.8102 x 107

4,000,000 = 4 x 106

98,000 = 9.8 x 104

Write the numbers below in normal form.

1.67 x 106 = 1,670,000

8.1 x 104 = 81,000

4 x 107 = 40,000,000

5.1 x 102 = 510

1.1 x 105 = 110,000

9.23 x 109 = 9,230,000,000

4.567 x 104 = 45,670

5 x 105 = 500,000

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## Scientific Notation (page 2 of 2)

Name:______________________

Complete the number sentences below using a number between 1 and 10 divided by a power of 10 and then write the number using scientific notation. (the first one is done for you)

0.0065

0.0024

0.00079

0.0000314

0.0000007

= 6.5 ÷ 1,000

= 2.4 ÷ 1,000

= 7.9 ÷ 10,000

= 3.14 ÷ 100,000

= 7 ÷ 10,000,000

= 6.5 x 10-3

= 2.4 x 10-3

= 7.9 x 10-4

= 3.14 x 10-5

= 7 x 10-7

Write the numbers below using scientific notation.

0.0000000011 = 1.1 x 10-9

0.00053 = 5.3 x 10-4

0.0000477 = 4.77 x 10-5

0.0000054 = 5.4 x 10-6

0.00000000031 = 3.1 x 10-10

0.0000005 = 5 x 10-7

0.000045 = 4.5 x 10-5

0.00000001178 = 1.178 x 10-8

0.000000000008 = 8 x 10-12

0.00000123 = 1.23 x 10-6

Write the numbers below in normal form.

4.4 x 10-5 = 0.000044

3.89 x 10-9 = 0.00000000389

2 x 10-4 = 0.0002

6.77 x 10-5 = 0.0000677

2.3 x 10-7 = 0.00000023

5.9 x 10-5 = 0.000059

7 x 10-8 = 0.00000007

2 x 10-3 = 0.002

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### Related Resources

The various resources listed below are aligned to the same standard, (8EE03) taken from the CCSM (Common Core Standards For Mathematics) as the Expressions and equations Worksheet shown above.

Use numbers expressed in the form of a single digit times a whole-number power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 times 108 and the population of the world as 7 times 109, and determine that the world population is more than 20 times larger.

#### Worksheet

##### Exponents

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Work with radicals and integer exponents

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