General Rules
(+) * (+) =
(+) or positive
-4.4 * (-6.02)
26.488
-5 ÷ 1.5
-3.3
3 9/10 * (-8/3)
-10 2/5
-1 5/6 ÷ 4 1/6
-11/25
A book shelf is 3 1/2 feet long. Each book on the shelf is 5/8 inches wide. How many books will fit on the shelf?
67 books
What property is represented?
a * b = b * a
Commutative Property
-9.4 * (-4.7)
44.18
6.4 ÷ (-3.2)
-2
5/8 * (-4/15)
-1/6
-4/11 ÷ 2/7
-1 3/11
Peter bought 1 basketball, 2 baseballs, and 1 football at the sports store. The basketball cost $5.75, the baseballs cost $2.25 a piece, and the football was $5.00. How much money does he need to pay at the counter?
$15.25
Tell whether the expression is positive or negative without evaluating.
-3/10 * (-8/15)
positive
-7.2 * 0.1 * (-100)
72
-15.4 ÷ (-2.5)
6.16
-2 3/8 * -8/5
3 4/5
9/10 ÷ (-6/5)
-3/4
Stanley grew tomatoes this summer and used them to make 4/5 of a gallon of tomato sauce. He split it into 8 equal portions to freeze for using later. How many gallons was each portion?
1/10
How is multiplying and dividing rational numbers similar to multiplying and dividing integers?
The same rules for signs of integers are applied to rational numbers.
A 14.5-gallon gasoline tank is 3/4 full. How many gallons will it take to fill the tank?
3 5/8 gallons
32.436 ÷ (-4.24)
-7.65
The elevation of a sunken ship is -120 feet. Your elevation is 5/8 of the ship's elevation. What is your elevation?
-75 ft
-4 1/6 ÷ 1 1/3
-3 1/8
Mrs. Murphy's class is making pillow cases. Each pillow case uses 3/4 of a yard of fabric. How many pillow cases can they make out of 12 1/2 yards of fabric?
16 pillow cases
Tell whether the expression is positive or negative without evaluating.
-6/5 ÷ (-1/2) * -6.3 * (-0.6) ÷ -2/3 * 7 7/8 ÷ -100
negative
-6 * (-0.05) * (-0.4)
-0.12
How many 2.25-pound containers can you make with 24.75 pounds of almonds?
11 containers
-3/5 * (2 2/7) * (-3 3/4)
5 1/7
How many 1 1/4 pound packages can you make with 7 1/2 pounds of cashews?
6 packages
Jamie bought 4 pounds of sugar for $2.56. What is the cost of sugar per pound?
$0.64 per pound