About Scientific Notation:
When we have really large or really small numbers, we generally use scientific notation. This type of notation is simply a compact way to display a number. In order to place a number in scientific notation, we revisit some properties of multiplication with 10.
Test Objectives
- Demonstrate an understanding of multiplication/division by 10
- Demonstrate the ability to write a number in scientific notation
- Demonstrate the ability to perform operations with numbers in scientific notation
#1:
Instructions: Write each number in scientific notation.
a) 972,000,000
b) 0.0000162
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#2:
Instructions: Write each number in scientific notation.
a) 5,331,000,000,000,000
b) 0.000000001050137
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#3:
Instructions: Write without exponents.
a) 4.78 x 105
b) 1.951 x 10-10
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#4:
Instructions: Write without exponents.
a) 3.18 x 100
b) 6.28 x 10-4
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#5:
Instructions: Write without exponents.
a) (12 x 10-4)(8 x 104)
b)
| 2.05 x 109 |
| 1.6 x 10-2 |
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Written Solutions:
#1:
Solutions:
a) 9.72 x 108
b) 1.62 x 10-5
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#2:
Solutions:
a) 5.331 x 1015
b) 1.050137 x 10-9
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#3:
Solutions:
a) 478,000
b) 0.0000000001951
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#4:
Solutions:
a) 3.18
b) 0.000628
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#5:
Solutions:
a) 96
b) 128,125,000,000
