Distributive Property
Evaluate using the distributive property. Show your work:
3(6 + 5)
3 * 6 + 3 * 5
18 + 15
33
List the first 8 multiples of 4.
4, 8, 12, 16, 20, 24, 28, 32
List all of the factors of 36.
List them in order.
1, 2, 3, 4, 6, 9, 12, 18, 36
3/8 * 1/4
Fully simplify your answer.
3/32
5/8 ÷ 1/4
Fully simplify your answer.
You could divide straight across for this one!
5/2 --> OR you could do 5/8 * 4/1
=2 1/2 =20/8
=2 4/8
=2 1/2
Evaluate using the distributive property. Show your work:
9(8 + 11)
9 * 8 + 9 * 11
72 + 99
171
List the first 8 multiples of 6.
6, 12, 18, 24, 30, 36, 42, 48
What is the GCF of 12 and 64?
12: 1, 2, 3, 4, 6, 12
64: 1, 2, 4, 8, 16, 32, 64
Common factors: 1, 2, 4
GCF: 4
6/7 * 2 1/3
Fully simplify your answer.
6/7 * 7/3
=42/21
=2
3/7 ÷ 2/7
Fully simplify your answer.
3/7 * 7/2
=21/14
=1 7/14
=1 1/2
Evaluate using the distributive property. Show your work:
12(3 + 5)
12 * 3 + 12 * 5
36 + 60
96
What are the common multiples of 3 and 11 between 1 and 75?
33 and 66
What is the GCF of 8 and 50?
8: 1, 2, 4, 8
50: 1, 2, 5, 10, 25, 50
Common factors: 1 and 2
GCF: 2
2 1/7 * 1/3
Fully simplify your answer.
15/7 * 1/3
=15/21
=5/7
6/7 ÷ 2 1/3
Fully simplify your answer.
6/7 ÷ 7/3
=6/7 * 3/7
=18/49
Determine the missing number:
6(9 + ___) = 54 + 18
3
Find the LCM of 8 and 10.
8, 16, 24, 32, 40
10, 20, 30, 40
40
List ALL of the common factors of 45 and 81.
45: 1, 3, 5, 9, 15, 45
81: 1, 3, 9, 27, 81
ALL common factors: 1, 3, 9
2 2/3 * 5
Fully simplify your answer.
8/3 * 5/1
=40/3
=13 1/3
3 3/4 ÷ 5/6
Fully simplify your answer
15/4 ÷ 5/6
=15/4 * 6/5
=90/20
=4 10/20
=4 1/2
What error was made in this work? Solve it correctly.
8(7 + 9)
8 * 7 + 9
56 + 9
65
This person forgot to distribute the 8 to the 9 by doing 8 * 9.
8(7 + 9)
8 * 7 + 8 * 9
56 + 72
128 is the correct answer
Tom and Don get their hair cut at the Broadway Barber Shop on Saturdays. Tom gets his hair cut every 4 weeks. Don gets his hair cut every 6 weeks. Last Saturday, Tom and Don both got their hair cut. When will both Tom and Don get their hair cut on the same day again?
LCM
4, 8, 12
6, 12
LCM: 12, so in 12 weeks they will both get their hair cut on the same day.
Maggie spent $99 on freight trains for her model train set. Gage bought some model trains, too, and he spent $66. Each train costs the same amount. What is the greatest cost of each model train?
GCF
99: 1, 3, 9, 11, 33, 99
66: 1, 2, 3, 6, 11, 22, 33, 66
GCF: 33, so the greatest cost of each model train is $33.
3 3/8 * 2 2/9
Fully simplify your answer.
27/8 * 20/9 --> can change this to 3/8 * 20/1
=540/72 =60/8
=7 36/72 =7 4/8
=7 1/2 =7 1/2
Melissa has 4 1/2 teaspoons of cinnamon. She uses 1/4 tsp of cinnamon for each batch of pancakes that she makes. How many batches can Melissa make?
Write a division problem and solve. Fully simplify your answer.
4 1/2 ÷ 1/4
9/2 ÷ 1/4
=9/2 * 4/1
=36/2
=18 batches