Fractions, Decimals, and Percents
Rational Numbers
Positive Rational Number Operations
Integer Operations
100
What percentage of the hundreds grid is shaded? Express that percent four ways.
40%
0.40
40 out of 100
40/100
100
Opposite of 2.5
-2.5
100
3/4 / 5/7
1 1/20
100
8 + (−5) =
3
200
A bottle is 75% full of water. Mark a dot to represent this percent on the number line below.
<------l------l------o------l------>
0 1
200
Absolute Value
|−12| and |−3|
greater than or less than
12 and 3
12 > 3
200
3/8 x 2/3
6/24 or 1/4
200
−3 – 11=
-14
300
A book is on sale for 85% of its normal price. Write 85% in fraction form and decimal form
85/100, 0.85
300
Classify each number by writing the set or sets to which the number belongs.
-23
Integer, rational number
300
Divide 3 1/4 yards into groups of 1/3
3 1/4 / 1/3
13/4 x 3/1
39/4 = 9 3/4
300
32 ÷ (−4)=
-8
400
Does 1.2 = 12%?
No, 1.2 represents a percent more than 100. 1.2 = 120%.
400
Use absolute value to describe the elevation of a diver at −250 meters.
|−250| = 250; sea level is at zero meters, so the diver is 250 feet below sea level or below zero.
400
54.75/0.75
73
400
5 – (−5)=
10
500
Tia found a pair of boots that she wanted to buy for $150. The store was offering a 30% discount for new customers. How much is the discount Tia would receive on the new pair of boots?
Discount: $45
500
In the following month, Aiko placed his snail at zero and tracked the distance. Order the values from greatest to least.
−4, 1.5, 3, −2 1/2
3, 1.5, -2 1/2, -4
500
Sam used 1.85 kilograms of glitter making crafts at school. If all 18 of his classmates used the same amount, how much glitter did they use?
18 x 1.85
33.30
500
−4(7) =
-28
600
3/5=%
60%
600
Write + if the value is positive. Write − if the value is negative.
A credit of $5: ___
A loss of 18 points: ___
A weight gain of 2.6 pounds: ___
A deposit of $15: ___
A depth of 20.5 feet below sea level: ___
A temperature increase of 15°F: ___
+
-
+
+
-
+
600
How many pieces of wrapping paper measuring 1 3/10 meters in length can Elijah cut from a roll that is 163.15 meters long? Explain how you set up this problem. Show your work.
Elijah can cut 125.5 pieces.
600
(−10)(−5)=
50
700
Maria got a pedicure that cost $60. She decided to tip her pedicure artist 20%. What was the tip amount?
60 × 0.2 = $12 tip
700
While playing a game, students earned the following scores: −3, 2.75, 2 1/4 , −1.25, −2 1/2, 0, and 2.
Place scores from least to greatest
−3, −2 1/2 , −1.25, 0, 2, 2 1/4, 2.75
700
One lap in the pool takes 2 1/4 minutes. At this rate, how long will it take to swim 3.5 laps?
2 1/4= 2.25
2.25 x 3.5
7.875
700
−48 ÷ (−8) =
6