## Solutions to Practice Test on Multiplying Integers

Recall the rules on multiplying integers. Multiplying two with the like signs (negative and negative or positive and positive) gives a positive product. Multiplying two numbers with unlike signs gives a negative product.

1. -4 x -8 = 32

2. 3 x -7 = -21

3. -12 x -7 = 84

4. -8 x -1 x -4

Group any two first: -8 x -1 = 8. Then 8 x -4 = -32.

5. (3 x 4)(-5) = (12)(-5) = -60

6. 4 x -3 x -2

Group any two first: 4 x -3 = –12. Then -12 x -2 = 24

7. -7 x -2 x 3

Group any two first: -2 x 3= -6.. Then, -6 x -7 = 42.

8. (-8)(-3)(2) = (24)(2) = 48

9. (-6)(-7)(-2) = (42)(-2) = -84,

10. (2)(-3)(5)(-2) = (-6)(-10) = 60

By now you will have realized that no matter how many integers you multiply, you just count the number of negative integers. An even number of negative integers (2, 4, 6, 8 and so on) gives a positive product. An odd number (1, 3, 5, 7, and so on) of negative integers gives a negative product.