Fractions
Which fractions is greater?
5/8 or 4/8
What is 5/8?
Which number is a factor of 50?
8, 7, 3, 2
2
Which is more, 1 kiloliter or 1,000 liters?
1 kiloliter, 1,000 liters, or Neither; they are equal
Neither; they are equal
Evaluate the expression:
(8 ÷ 2) + (8 + 3)
15
8 /2 = 4, then 8 + 3 = 11, then 4 + 11 = 15
Rosa weighed two colored metal balls during a science class. The green ball weighed 0.49 pounds and the blue ball weighed 0.98 pounds. If Rosa places both balls on the scale at the same time, what will the scale read?
1.47 pounds
Add the numbers of pounds. Remember to line up the decimal points.
3/4 + 5/12 + 7/12 =
1 3/4
What number is a factor of 34?
7, 6, 3, 2
2
Convert 3,000 grams to kilograms.
3 kilograms
K H D U D C M
3,000 (decimal is at end, move decimal 3 places to the left).
OR Since you are going from a smaller unit to a larger unit. Divide by the number of grams in a kilogram: 1,000. 3,000 ÷ 1,000 = 3
So, 3,000 grams = 3 kilograms
To convert between metric units, follow these rules:
- To convert from a larger unit to a smaller unit, multiply.
- To convert from a smaller unit to a larger unit, divide.
Is this equation true or false?
17 + 3 = 15 + 9 – 14
False
17 + 3 = 20 but 15 + 9 is 24, 24 - 14 = 10
Brody did a running drill to get in shape for soccer season. First, Brody ran 2/3 of a mile. Then he ran 2/3 of a mile and 2/3 of a mile more. How many miles did Brody run in total?
2 Miles
2/3 + 2/3 + 2/3 = 6/3 = 2 Miles
2/3 x 12/15
8/15
Complete the multiplication sentence:
2 x 2/6 = ____ x 1/6
4
Convert 1.25 liters to milliliters.
1,250 milliliters
K H D U D C M
You are going from a larger unit to a smaller unit. Multiply by the number of milliliters in a liter: 1,000. There are three zeros in 1,000, so move the decimal point three places to the right.
1.25 → 1,250
Is this equation true or false?
3 + 6 × 3 = 3 × .3 × 3
False
Left side: 6x3=18, then add 3 = 21
Right side: 3 x .3 = .9, then .9 x 3 = 2.7
21 does not equal 2.7
Brennan bought 6 golf balls. The total weight of the golf balls was 9 ounces. How much did each golf ball weigh? Write your answer as a decimal.
1.5 ounces
When you divide, add zeros after the decimal point in the number you are dividing. Divide until there is no remainder.
9.0 ounces / 6 golf balls = 1.5 ounces
Today Greta is carrying her history textbook and her lunch in her backpack. If the history textbook weighs 1 1/4 pounds and her lunch weighs 3 2/4 pounds, how much weight is in Greta's backpack?
4 3/4
Complete the multiplication sentence:
4 x 2/10 = ______ x 1/10
8
Solve:
8.317 Meters = _________ kilometers
.008317 kilometers
K H D U D C M
6 + (7 × 7 + 2)
57
7x7 = 49, then 49 + 2 = 51, then 6 + 51 = 57
To evaluate an expression with multiple operations, you can follow the order of operations:
Perform operations inside parentheses and brackets. Start with the operations in the inner parentheses or brackets, evaluating the expression from the inside out.
Multiply and divide from left to right.
Add and subtract from left to right.
Whitney filled her entire storage closet with some stackable cube-shaped containers. Each container has a volume of 1 cubic foot, and the storage closet is shaped like a rectangular prism. She filled the bottom of the closet with 4 containers. If she stacked the containers 5 layers high, what is the volume of the storage closet?
20 cubic feet
To find the volume of the storage closet, you can multiply how many containers are in the bottom layer by how many layers fill it.
There are 4 one-foot containers in the bottom layer, and 5 layers fill the storage closet.
4 × 5 = 20
It would take 20 containers to fill the storage closet. Each container has a volume of one cubic foot. So, the volume of the storage closet is 20 cubic feet.
1/3 divided by 3
1/3 x 1/3 = 1/9
Find the least common multiple of 6 and 8
24
The least common multiple (LCM) of two numbers is the smallest multiple that the two numbers have in common. Finding the LCM can help you with other skills, such as finding equivalent fractions with like denominators.
6: 6, 12, 18, 24, 30, 36, 42, 48...
8: 8, 16, 24, 32, 40, 48, 56, 64...
So, the LCM of 6 and 8 is 24!
Maggie made sand art bottles to sell at her school's craft fair. First, she bought 4 kilograms of sand in different colors. Then, she filled as many 100-gram bottles as she could. How many sand art bottles did Maggie make?
40
You need to find how many sand art bottles Maggie made. Each bottle holds 100 grams of sand. So, start by finding how many grams of sand she bought.
Remember: There are 1,000 grams in a kilogram, so multiply 4 kilograms by 1,000.
4×1,000 = 4,000
Maggie had bought 4,000 grams (4 kilograms) of sand.
She used 100 grams for each bottle. Divide to find how many sand art bottles she made.
4,000÷100 = 40
Maggie made 40 sand art bottles.
Solve using order of operations:
2 + 62 - 30 / 2 x 2 =
8
P E M D A S
62 = 36, then 30 / 2 = 15, then 15 x 2 = 30, then have
2 + 36 - 30 = 8
7 plums cost $3.92. If the plums all cost the same amount, how much does each plum cost?
$0.56 or 56 cents each per plum
Divide the total cost by the total number of plums.
$3.92 / 7 plums = $0.56 each