Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Write  as a power.
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2.
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Evaluate: 
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3.
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Evaluate:  a. | -35 | b. | 35 | c. | 78 125 | d. | -78 125 |
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4.
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Write 1 000 000 as a power of 10.
a. |  | b. | 105 | c. |  | d. | 106 |
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5.
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Evaluate:  a. |  | b. | 1 | c. | -1 | d. | 9 |
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6.
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Write  in standard form. a. | 50 980 | b. | 50 986 | c. | 50 981 | d. | 5986 |
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7.
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Evaluate: 
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8.
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Evaluate: 
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9.
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Which expression has a value closest to 2?
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10.
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Write the quotient of  as a single power.
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11.
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Evaluate:  a. | –128 | b. | –256 | c. | 256 | d. | –32
768 |
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12.
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Evaluate:  a. | 10 100 000 | c. | 120 | b. | 1 000 000 000 000 | d. | 10 000 100 000 |
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13.
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Evaluate: 
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14.
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Which expressions have positive values? a. | ii and iv | b. | ii and iii | c. | i and ii | d. | i and
iv |
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15.
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Which expressions have negative values? a. | ii and iii | b. | i and iv | c. | i and ii | d. | iii and
iv |
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Short Answer
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16.
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Write the base and the exponent of this power: 
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17.
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Which power is greater,  or  ?
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18.
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Write 4865 using powers of 10.
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19.
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Write  +  in standard form.
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20.
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State which operation you would do first to evaluate  .
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21.
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Evaluate: 
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22.
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Write the product of  as a single power.
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23.
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Write the quotient of  as a single power.
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24.
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Write  as a quotient of powers.
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25.
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Express  as a single power of 7.
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Problem
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26.
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Evaluate: 
Show your steps.
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27.
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Evaluate: 
Show your steps.
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28.
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The Royal Canadian Mint produces valuable gold coins in 3 different diameters:
30 mm, 25 mm, and 20 mm a) If
106 of the 30-mm coins were placed side by side in a single row, how far would they
stretch?
b) If 106 of the 30-mm, 25-mm, and 20-mm coins
were placed side by side in a single row, how far would they stretch?
Express your answers in
kilometres.
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29.
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In a set of cubes, there are 4 cubes of edge length 7 cm, 3 cubes of edge length
8 cm, 2 cubes of edge length 9 cm, and 1 cube of edge length 10 cm. a) Which expression represents
the total volume of the cubes? b) Determine the total volume of the cubes.
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30.
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Here are two ways to write 24 as a product of two powers, with at least one of
the powers greater than 1.  a) Find two powers that have a product of 48,
with at least one power greater than 1. How many different pairs of powers can you
find?
b) Find two powers that have a product of 96, with at least
one power greater than 1. How many different pairs of powers can you find?
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31.
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These are two samples of student work. Are they correct? Explain. Student A:
 Student B: 
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