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Integer Operations and Absolute Value

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Integer Operations and Absolute Value

Calculate each answer. Use the number line where it is shown, and include working for the application problems.

Integer multiplication and division

1.Calculate 8 × (−6).

2.Calculate (−9) × 7.

3.Calculate (−5) × (−11).

4.Calculate 72 ÷ (−9).

5.Calculate (−63) ÷ 7.

6.Calculate (−96) ÷ (−12).

7.Which statement about integer multiplication is always true?

A positive number multiplied by a negative number gives a positive result.
A negative number multiplied by a negative number gives a positive result.
A positive number multiplied by a positive number gives a negative result.
A negative number multiplied by zero gives a negative result.

8.Match each multiplication sign combination to the sign of its product.

Positive × positive
Positive × negative
Negative × positive
Negative × negative

Negative
Positive
Negative
Positive

Absolute value

9.Find |−17|.

10.Find |12|.

11.Find |0|.

12.What does the absolute value of a number describe?

The number's direction from zero
The number's distance from zero
The opposite of the number
Whether the number is even or odd

13.The number line marks −8 and 8. Explain how it shows that |−8| = 8.

Integer operations in context

14.At dawn, the temperature is 4°C. It falls by 2°C each hour for 5 hours. What is the temperature after those 5 hours? Show an integer calculation.

15.Harrison owes $18 to each of 4 people. Represent the total debt as an integer multiplication, then state the amount she owes.

16.A lift starts at floor 0, travels down 7 floors, then down 9 more floors. What floor does it reach, and what is the absolute value of that floor number?