# Writing in Scientific Notation

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A shorthand method of writing very small and very large numbers is called scientific notation, in which we express numbers in terms of exponents of 10. We will be doing some practice questions here.
1. Kuta Software - Infinite Algebra 1 Name___________________________________
Writing in Scientific Notation Date________________ Period____
Write each number in scientific notation.
1) 0.000006 2) 5400000
3) 60 4) 0.009
5) 6.7 6) 0.0000002
7) 2000000 3
8) 71 × 10
9) 48900 10) 0.0000009
11) 0.63 × 10 1 12) 33 × 10 −3
13) 0.000216 14) 0.0042
15) 0.15 × 10 −2 16) 4.8
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2. Write each number in standard notation.
−1 −1
17) 0.9 × 10 18) 2 × 10
5 2
19) 2 × 10 20) 804 × 10
4 −2
21) 2.66 × 10 22) 1.5 × 10
23) 7.75 × 10 −1 24) 8.3 × 10 7
25) 9.5 × 10 7 26) 1.71 × 10 7
27) 0.9 × 10 −3 28) 38 × 10 2
29) 7.5 × 10 −5 30) 4 × 10 0
31) 8.4 × 10 5 32) 4 × 10 −5
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3. Kuta Software - Infinite Algebra 1 Name___________________________________
Writing in Scientific Notation Date________________ Period____
Write each number in scientific notation.
1) 0.000006 2) 5400000
−6 6
6 × 10 5.4 × 10
3) 60 4) 0.009
1 −3
6 × 10 9 × 10
5) 6.7 6) 0.0000002
0 −7
6.7 × 10 2 × 10
7) 2000000 3
8) 71 × 10
2 × 10 6 7.1 × 10 4
9) 48900 10) 0.0000009
4.89 × 10 4 9 × 10 −7
11) 0.63 × 10 1 12) 33 × 10 −3
6.3 × 10 0 3.3 × 10 −2
13) 0.000216 14) 0.0042
2.16 × 10 −4 4.2 × 10 −3
15) 0.15 × 10 −2 16) 4.8
1.5 × 10 −3 4.8 × 10 0
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4. Write each number in standard notation.
−1 −1
17) 0.9 × 10 18) 2 × 10
0.09 0.2
5 2
19) 2 × 10 20) 804 × 10
200000 80400
4 −2
21) 2.66 × 10 22) 1.5 × 10
26600 0.015
23) 7.75 × 10 −1 24) 8.3 × 10 7
0.775 83000000
25) 9.5 × 10 7 26) 1.71 × 10 7
95000000 17100000
27) 0.9 × 10 −3 28) 38 × 10 2
0.0009 3800
29) 7.5 × 10 −5 30) 4 × 10 0
0.000075 4
31) 8.4 × 10 5 32) 4 × 10 −5
840000 0.00004
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