Add/Sub Rational Numbers
Use a number line to solve and represent the following expressions: -7 + (-5)
-12, shown on a number line
-1/2 x 10 x 2
-10
Convert to a decimal: 15/20
.75
josh spent 20 1/2 minutes practicing 3 different pitches for baseball. In a mixed number, about how many minutes did he spend on every pitch?
6 5/6 minutes
A rectangular field has the dimensions 11 2/3 by 7 5/6 yards. What is the area of the field? Display answer as a mixed number.
91 7/18 yards squared
The high temperature is 22 and the low temperature is -7, what is the temperature range?
29
-2.25 x 4.4 - (- 2)
-7.9
Convert to a decimal 5/-18
-.27777777...
A building is 55 1/2 feet high, if there are 7 floors, how tall is each floor? Display answer as a mixed number.
7 13/14 feet tall
Julie was 3 2/3 feet tall on her 8th birthday. Since then, she grew 1 7/8 feet. In a mixed number, how tall is she now? In a decimal, how tall is she now?
5 13/24 feet = 5.5416.......
Simplify the following expression: 26.6 + 17.5 - 20.2 -6.4+ (-17.5)
0
(2/3 x -17) x 3/2
-17
A loop around a walking trail is 2 1/4 miles. If you make it 1/3 of the way around the track, how far did you run? Display answer as a fraction.
3/4 of a mile
A hamster cage has the dimensions 12 1/4 x 22 2/5 x 10 1/2 in inches. What is the volume of the cage?
2,881.2 in cubed or 2,881 1/5 in cubed
A corporation has struggled and earned a profit of -1,187 over the past 4 years. What is the average annual profit? If they wanted their average annual profit to be $120 over those 4 years, how much more money must they make each year?
-$296.75
$776.75 more per year
A recipe for banana bread calls for 3/4 of a cup of brown sugar, Shelly has 4 1/4 cups of brown sugar. At most, how many loaves of banana bread can Shelly make?
5 loaves
The owner of a store sells gas for $2.50 per gallon but buys the gas from his supplier for $2.15 per gallon. Therefore, if he sells 100 gallons of gas, how much profit is he actually making?
$35
What must be the relationship between the differences of a-b and b-a?
The differences are the additive inverse (opposite) of each other. Ex: 1-2 = -1 2-1 = 1
5 kids run a lemonade stand and earn a grand total of $22 1/2 If they split the earnings evenly between the 5 of them, how much money will each kid get?
$4.50
Katie has 24 1/5 yards of fabric. If it takes 1/4 of a yard of fabric to make a pair of shorts, how many pairs of shorts can she make? How much more fabric does she need to make an additional pair?
She can make 96 pairs
She needs .2 or 1/5 yards more to make an additional pair
120 3/8 pounds of fertilizer is being put into bags that are 15 1/2 pounds each. How many bags of fertilizer can be filled? How much more fertilizer is needed in order to fill another bag? Display your answer as a mixed number.
7 bags. 14 91/124 more pounds are needed in order to fill another bag.
A box of erasers weighs 5/7 of a pound. At the beginning of the school year, a teacher orders 5 boxes of erasers. If she has used half of one box since then, how many pounds of erasers does she still have left?
3 3/14 pounds