Scientific Notation/Standard Notation ___/16 K/U



Scientific Notation/Standard Notation ___/16 K/U Name_____________

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Fraction 1/100 1/10

Decimal notation 0.01 0.1 1 10 100 1,000 ___________________________________________________________________________

Scientific notation 10-2 10-1 100 101 102 103

Practice With Scientific Notation

Write out the decimal equivalent (regular form) of the following numbers that are in scientific notation.

Section A: Model: 101 = 10

1) 102 = _______________ 4) 10-2 = _________________

2) 104 = _______________ 5) 10-5 = _________________

3) 107 = _______________ 6) 100 = __________________

Section B: Model: 2 x 102 = 200

7) 3 x 102 = _________________ 10) 6 x 10-3 = ________________

8) 7 x 104 = _________________ 11) 900 x 10-2 = ______________

9) 2.4 x 103 = _______________ 12) 4 x 10-6 = _________________

Section C: Now convert from decimal form into scientific notation. Model:1,000 = 103

13) 10 = _____________________ 16) 0.1 = _____________________

14) 100 = _____________________ 17) 0.0001 = __________________

15) 100,000,000 = _______________ 18) 1 = _______________________

Section D: Model: 2,000 = 2 x 103

19) 400 = ____________________ 22) 0.005 = ____________________

20) 60,000 = __________________ 23) 0.0034 = __________________

21) 750,000 = _________________ 24) 0.06457 = _________________

|Convert the following numbers into scientific notation: |Convert the following numbers into standard notation: |

|1) 3,400 __________________________ |9) 2.30 x 104 __________________________ |

|2) 0.000023 _______________________ |10) 1.76 x 10-3 ________________________ |

|3) 101,000 ________________________ |11) 1.901 x 10-7 _______________________ |

|4) 0.010 __________________________ |12) 8.65 x 10-1 ________________________ |

|5) 45.01 __________________________ |13) 9.11 x 103 ________________________ |

|6) 1,000,000 _______________________ |14) 5.40 x 101 ________________________ |

|7) 0.00671 ________________________ |15) 1.76 x 100 ________________________ |

|8) 4.50 ___________________________ |16) 7.4 x 10-5 _________________________ |

Scientific Notation Worksheet - Solutions

Convert the following numbers into scientific notation:

1) 3,400 3.4 x 103

2) 0.000023 2.3 x 10-5

3) 101,000 1.01 x 105

4) 0.010 1.0 x 10-2

5) 45.01 4.501 x 101

6) 1,000,000 1 x 106

7) 0.00671 6.71 x 10-3

8) 4.50 4.50 x 100

Convert the following numbers into standard notation:

9) 2.30 x 104 23,000

10) 1.76 x 10-3 0.00176

11) 1.901 x 10-7 0.0000001901

12) 8.65 x 10-1 0.865

13) 9.11 x 103 9,110

14) 5.40 x 101 54.0

15) 1.76 x 100 1.76

16) 7.4 x 10-5 0.000074

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