Name Date Class
1.3 MULTIPLYING AND DIVIDING REAL NUMBERS
VOCABULARY
RECIPROCAL: MULITPLICATIVE INVERSE:
FRACTION: FACTOR:
MULITPLE: PRODUCT:
QUOTIENT: DIVISOR:
When multiplying or dividing, when will the product be positive?
When multiplying or dividing, when with the product be negative?
When is a fraction greater than one?
When a division problem undefined?
Practice A
Multiplying and Dividing Real Numbers
Multiply.
1. -12 • 2 2. -4(-5) 3. -5 • 0
4. - • 5. • 64 6. 12(0.5)
7. (-5.3)( -2.7) 8. 7 • n for n = -9 9. -2x for x = -1
Divide.
10. -15 ¸ 3 11. -30 ¸ -10 12. x ¸ (-12) for x = 36
13. - ¸ 14. ¸ y for y = -6 15. - ¸
16. -8 ¸ 0 17. - ¸ 18. 0 ¸ (-2)
19. Mrs. Roberts changes each student’s class average
by -2 points for every day of class missed. Gina
was absent 5 days. By how much does Mrs. Roberts
change Gina’s class average?
Evaluate each expression for a = -12 and b = -6.
20. a • b 21. 22.
Evaluate each expression for c = 0 and d = -1.
23. cd 24. 25.
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Name Date Class
Practice B
Multiplying and Dividing Real Numbers
Find the value of each expression.
1. -24 ¸ -8 2. 24(-5) 3. -96 ¸ 3
4. -6(20) 5. -7p for p = -15 6. t ¸ (-1.5) for t = 6
Divide.
7. - ¸ 8. -12 ¸ 9. 2 ¸
Multiply or divide.
10. 0 • 4.75 11. 0 ¸ 10 12. -¸ 0
13. When Brianna’s first CD sold a million copies, her record label
gave her a $5000 bonus. She split the money evenly between
herself, her agent, her producer, and her stylist.
How much money did each person receive?
14. (0.3)(-1.8) 15. 16. -15 ¸ (-6)
Evaluate each expression for x = 16, y = -4, and z = -2.
17. y ¸ x 18. x • y 19. xz
20. z ¸ y 21. (y)(z) 22. y ¸ z
23. x ¸ z 24. x ¸ y 25. z ¸ x
Challenge
Multiplication and Division Puzzles
For puzzles 1 and 2, draw a path from the Start box to the Goal: Product of –48
Finish box, multiplying by each number along the way,
to find a product equal to the goal number.
Moves must be vertical or horizontal only, and the path
cannot cross itself. An example is shown at right. The path
is correct because 2 • 1 • -3 • -2 • 1 • 2 • -2 = -48.
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1-27 Holt McDougal Algebra 1
Name Date Class
1. Goal: Product of -8
-1 / -1 / 22
Start / 2 / -1
-1 / -2 / -1 Finish
2. Goal: Product of 120
-2 / 4 / -1
-5
Start / -3 / 2
Finish
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1-27 Holt McDougal Algebra 1
Name Date Class
For puzzles 3 and 4, draw a path from the Start box to the Finish box, dividing by each number along the way, to find a quotient equal to the
goal number. Moves must be vertical or horizontal only, and the path cannot cross itself.
3. Goal: Quotient of 1 4. Goal: Quotient of -3
-4 / 3 / -2-24
Start / 3
/ 2
1
/ 2
/ -2 Finish
-36
Start / 2 / -3
3 / -2 / -3
4
/ 2
/ -1
Finish
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1-27 Holt McDougal Algebra 1