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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 10^{3}

= 3.4 x 10^{3}

= 5.2 x 10^{4}

= 1.05 x 10^{5}

= 9.33 x 10^{7}

Write the numbers below using scientific notation.

110,000 = 1.1 x 10^{5}

72,000 = 7.2 x 10^{4}

9,100,000 = 9.1 x 10^{6}

250,000 = 2.5 x 10^{5}

107,000,000,000 = 1.07 x 10^{11}

245,000,000 = 12.45 x 10^{8}

6,000,000,000,000 = 6 x 10^{12}

18,102,000 = 1.8102 x 10^{7}

4,000,000 = 4 x 10^{6}

98,000 = 9.8 x 10^{4}

Write the numbers below in normal form.

1.67 x 10^{6} = 1,670,000

8.1 x 10^{4} = 81,000

4 x 10^{7} = 40,000,000

5.1 x 10^{2} = 510

1.1 x 10^{5} = 110,000

9.23 x 10^{9} = 9,230,000,000

4.567 x 10^{4} = 45,670

5 x 10^{5} = 500,000

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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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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 10^{8} and the population of the world as 7 times 10^{9}, and determine that the world population is more than 20 times larger. *

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*

- Exponents Rules (From Example/Guidance)
- Squares & Square Roots (From Example/Guidance)
- Squares & Square Roots Chart - 0 to 100 (From Chart)
- Squared Numbers Chart: 1
^{2}to 15^{2}(From Chart)