zMATH 170  - Unit 16: Multiplying and Dividing Integers, Perfect Squares and Square Roots

Integer Operations


1)

Fill in the missing numbers to complete the pattern. Write the missing numbers in the order they occur in the pattern.


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2)

Fill in the missing numbers to complete the pattern. Write the missing numbers in the order they occur in the pattern.


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For problems #3 through #6, find the product.


3)

23 × 34


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4)

–34 × 12


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5)

45 × (–72)


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6)

–20 × (–33)


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For problems #7 through #9, write two related division statements for each of the multiplication statements.


7)

9 × (–5) = –45


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8)

–6 × (–7) = 42


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9)

–3 × 8 = –24


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For problems #10 through #13, find the quotients.


10)

68 ÷ 4


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11)

–72 ÷ 18


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12)

112 ÷ (–8)


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13)

–441 ÷ (–21)


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Perfect Squares and Square Roots


14)

Find both square roots for the perfect square.


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15)

Find both square roots for the perfect square.


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16)

Irene and Marlon had breakfast at a cafe. Muffins cost $3 each, and fruit cups cost $4 each. Irene had 1 muffin and 1 fruit cup. Marlon had 2 muffins and 1 fruit cup. How much did their breakfast cost?


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Review


17)

Which of these figures shows a fractional amount equal to 60%? (The amount is shown by shading, pointer, or circling.)


18) The Smiths went out for hamburgers and salads. The bill was $18.00. They want to leave a tip of 15%. They also need to add 5% to the cost of the meal for sales tax. What is the total cost of the meal including tax and tip? (Note: The Smiths figured the tip before adding on the sales tax.) 

19)

Name the units described below. Research the Internet to find the meaning of metric prefixes greater than kilo and less than milli. A good place to start is www.ask.com. Metric prefixes are used in the computer world for naming measurement units. For example: 1024 bytes is a kilobyte. 1024 rounds to 1000, thus kilo for 1000 and byte as the base, kilobyte.

a.  1,000,000 bytes

b.  1,000,000,000 bytes

c.  1,000,000,000,000 bytes

d.  0.000001 second

e.  0.000000001 second


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20)

Express 5.8 grams as milligrams.


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21)

Express 560 millimeters as centimeters.


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22)

If Alexander can run 1.5 miles in 12 minutes and can sustain the same rate of speed, how many miles can he run in an hour?


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23)

What would be Alexander’s rate of speed in MPH (miles per hour) for problem number #22?


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24)

Write a decimal and also a simplified fraction for 65%.


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25)

Find the absolute value for |–10|.


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26)

Find the sum. –19 + 20


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