Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Write the number of unit squares in this large square as a power.  a. |  | b. | 72 | c. |  | d. | 77 |
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2.
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Write the base of  . a. | -5 | b. | 5 | c. |  | d. | 3 |
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3.
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Evaluate: 
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4.
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Evaluate: 
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5.
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Evaluate:  a. | 1 | b. | -1 | c. |  | d. | 30 |
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6.
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Write  in standard form. a. | 35 746 | b. | 3574 | c. | 35 741 | d. | 35
740 |
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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 is the correct value of  ? i) 26
ii) 17
iii) 29
iv) 74
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10.
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Express  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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Write  as a power.
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14.
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Evaluate: 
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15.
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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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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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Write  as a power, then evaluate the power.
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18.
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Complete this table.
Power | Base | Exponent | Repeated Multiplication | | | | | | | | | | | 7 | 3 | | | | | | | | | | |
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19.
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Write 4865 using powers of 10.
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20.
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Write  +  in standard form.
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21.
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Identify, then correct, any errors in the work below. 
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22.
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Insert brackets to make each statement true. a)  b) 
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23.
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Simplify, then evaluate. 
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24.
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A field measures 10 5 m by 10 4 m. a) Write an expression for the area of the
field, using powers of 10.
b) Write an expression for the perimeter
of the field, using powers of 10.
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25.
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Write  as a product of powers.
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26.
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Simplify, then evaluate. 
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Problem
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27.
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Evaluate: 
Show your steps.
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28.
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One estimate shows that the number of people without access to safe drinking
water is about one billion.
How much water is required if each person who does not have access to
safe drinking water is given 10 L of safe drinking water?
Give your answer in standard form and
using powers of 10.
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29.
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Write each whole number from 32 to 39 as a sum of two or more
squares. Number | Sum of Squares | 32 | | 33 | | 34 | | 35 | | 36 | | 37 | | 38 | | 39 | | | |
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30.
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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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31.
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Which expressions are equivalent to  ? Justify your answer.
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32.
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Simplify, then evaluate. Show your work. 
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