### 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 10^{5}

b) 1.951 x 10^{-10}

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#4:

Instructions: Write without exponents.

a) 3.18 x 10^{0}

b) 6.28 x 10^{-4}

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#5:

Instructions: Write without exponents.

a) (12 x 10^{-4})(8 x 10^{4})

b)

2.05 x 10^{9} |

1.6 x 10^{-2} |

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Written Solutions:

#1:

Solutions:

a) 9.72 x 10^{8}

b) 1.62 x 10^{-5}

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#2:

Solutions:

a) 5.331 x 10^{15}

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