Fractions & Decimals
1) 3/4 ____ 1/2
2) 0.08 ____ 0.36
1) 3/4 > 1/2
2) 0.08 < 0.36
A bedroom floor is in the shape of a rectangle. The floor has a length of 12 feet and a width of 14 feet. What in the perimeter, in feet, of the floor?
12 + 12 + 14 + 14 = 52 feet
1) 63 / 9 = ___
2) 42 / ___ = 7
1) 7
2) 6
7,059 - 4,593 = __________
2,466
Which fraction comparison is incorrect?
A) 4/5 = 8/10
B) 7/10 = 70/100
C) 6/8 = 3/4
D) 75/100 = 5/7
D) 75/100 = 5/7
True or False
1) 9.5 = 9.50
2) 12/8 = 1 & 2/8
1) True
2) False
A bedroom floor is in the shape of a rectangle. The floor has a length of 12 feet and a width of 14 feet. What in the area, in square feet, of the floor?
What is 2,400 divided by 80?
30
James says 56 and 64 are factor pairs of 8. Simeon says 2 and 4 are factor pairs of 8. Who is correct? Why?
Simeon is correct. Factor pairs are numbers you multiply together to get the number.
2 x 4 = 8
56 x 64 does not = 8 (those are multiples, not factors)
A serving of carrots is 2/3 cup. How many cups are in 8 servings of carrots? Write your answer as a fraction or mixed number.
2/3 x 8 = 16/3 or 5 and 1/3 cups
1) What is 3 & 1/4 in decimal form?
2) What is 0.10 in fraction form?
1) 3.25
2) 10/100 or 1/10
Two angles of a triangle measure as 40 and 75 degrees. What is the measure of the third angle of the triangle?
40 + 75 = 115
180 - 115 = 65 degrees
What is the remainder when you divide 46 by 6?
Remainder = 4
6 x 7 = 42
42 + 4 = 46
Janie says 14 is a multiple of 4 since it ends in a 4. Roberta says 14 is not a multiple of 4. Who is correct? Why? What are two multiples of 4?
Roberta is correct. If you skip count by 4s, it goes 4, 8, 12, 16 (skipping 14). Those are all multiples of 4.
Johnny, Jacob, Jill, and Jeronimo ate one full pizza altogether. Johnny at 5/12, and Jacob and Jill each ate 2/12. How much pizza did Jeronimo eat?
5/12 + 2/12 + 2/12 = 9/12
12/12 - 9/12 = 3/12 of the pizza
Caleb mixed red water and blue water to make purple water. He poured 2/10 of a cup of red water into a jar. Then he poured the blue water into the jar. Afterwards, there was a total of 7/10 of a cup of purple water in the jar. How much blue water did Caleb pour into the jar?
A) 9/10 of a cup
B) 5/10 of a cup
C) 9/20 of a cup
D) 5/20 of a cup
Amelia buys 6 large water bottles and 2 granola bars for a 4-mile hike. Each large water bottle is 4/3 quarts. How many gallons of water did Amelia buy? (Hint: 4 quarts = 1 gallon)
6 x 4/3 = 24/3 = 8 quarts = 2 gallons
What is the remainder when 2,827 is divided by 8?
Remainder = 3
2,827 / 8 = 353 R3
8 x 300 = 2,400
8 x 50 = 400
8 x 3 = 24
300 + 50 + 3 = 353
2,400 + 400 + 24 = 2,824 + 3 = 2,827
Draw a polygon with exactly one pair of parallel sides and at least one line of symmetry.
Answers may vary.
A community garden is divided into 10 equal sections. Carrots are planted in 4/10 of the garden and peas in 2/10 of the garden. The rest of the garden sections are planted evenly with beets and corn. How much of the garden does the corn take up?
4/10 + 2/10 = 6/10
10/10 - 6/10 = 4/10
2/10 + 2/10 = 4/10
Corn --> 2/10 of the garden
7 students each get the same sized bowl. They each fill some of their bowls with pudding.
Aziz fills 1/4 of his bowl
Bundy fills 3/6 of her bowl
Cole fills 4/5 of his bowl
Deangelo fills 7/8 of his bowl
Ewan fills 5/10 of his bowl
Fernando fills 3/9 of his bowl
Gladys fills 20/100 of her bowl
Which three students have less pudding in their bowl than Bundy?
Aziz (1/4), Fernando (3/9), and Gladys (20/100)
Ella collected seashells on her vacation to Florida. All of the seashells together weighed 400 milligrams. Bella collected small rocks on her vacation to North Carolina. All of the rocks together weighed 850 milligrams. When Bella and Ella both got back from their vacation and combined the seashells and rocks, how much did everything weigh in grams? (Hint: 1,000 milligrams = 1 gram)
400 + 850 = 1,250 milligrams
1,250 milligrams = 1.25 grams or 1 & 1/4 grams or 5/4 grams
A theater has rows of chairs. There are 7 chairs in each row. A group of 4th graders and a group of 5th graders are all seated in the theater. There are 72 4th graders. There are 6 more 5th graders than 4th graders. As the students enter, they fill in all the chairs of the first row, then the second row, and so on. The final row is not completely full. How many students are seated in that row?
72 4th graders
78 5th graders
150 students in total
150 / 7 = 21 rows, 3 students need to sit in the 22nd row.
Fill in the blank with <, >, or = to make the statements true.
1) 324,896 ___ 300,000 + 20,000 + 4,000 + 800 + 90 + 6
2) 190,557 ___ one hundred nineteen thousand, five hundred fifty seven
1) =
2) >
Polly buys a hamburger for $4.99. Her sister Molly buys french fries for $2.59. Her other sister Dolly buys 2 milkshakes that each cost $3.79. The tax for their meal is $2.13. Their mom Holly pays for their food with a $20 bill. How much change does the cashier Rollie give Holly back?
$4.99 + $2.59 + $3.79 + $3.79 + $2.13 = $17.29
$20.00 - $17.29 = $2.71 in change