zMATH 170  - Unit 5: Exponents, Square Roots and Place Values

Exponents


1)

State the base and exponent and then evaluate. 62


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2)

State the base and exponent and then evaluate. 53


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3)

State the base and exponent and then evaluate. 37


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4)

Find the missing exponent.


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5)

Find the base.


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Powers of Ten


6)

Evaluate.  105


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7)

Evaluate. 100


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8)

Evaluate.  10–3


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Extending Exponents


9)

Evaluate.  41


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10)

Evaluate.  40


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11)

Evaluate.  4–2


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Place Value – Whole Numbers


12)

Write the number for the given expanded notation.


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13)

Write the number for the given expanded notation.


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Place Value – Decimals


14)

Write the number for the given expanded notation.

6 ten thousands + 5 thousands + 2 hundreds + 1 tens + 6 ones + 3 tenths + 4 hundredths + 6 thousandths + 9 ten thousandths


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15)

Write the number for the given expanded notation.


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16)

Write the number for the given expanded notation.

9 × 103 + 1 × 102 + 5 × 101 + 3 × 100 + 2 × 10–1 + 8 × 10–2  + 8 × 10–3


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Review


17)

Solve.


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18)

Solve.


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19)

Perfect squares are numbers whose square roots are rational. Complete the pattern below and list the first fifteen perfect squares.

1, 4, ___, 16, ___, ____, 49, 64, ____, 100, 121, ____, 169, ____, 225


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20)

Find the sum.


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21)

Find the difference.


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22)

Find the product.


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23)

Solve.


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24)

Find the quotient.


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25)

Eleanor is making a bow for a present.  She has 6 2/3 yards of ribbon.  She plans to cut the ribbon into 8 equal pieces.  How long will each piece be?


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