LCM
What is the LCM of 4 and 7?
28
What is the GCF of 15 and 18?
3
What is the prime factorization of the number 20?
2 x 2 x 5 or 22 x 5
Re-write the following problem using the distributive property:
4(85)
(16 ÷ 8)2 + [(14 + 4) + 62]
58
24 is the LCM of which pair of numbers
A. 3 and 9
B. 6 and 12
C. 9 and 12
D. 12 and 24
D. 12 and 24
6 is the GCF of which pair of numbers
A. 12 and 15
B. 12 and 30
C. 15 and 40
D. 15 and 100
B. 12 and 30
What is the prime factorization of the number 45?
3 x 3 x 5 or 32 x 5
Which of the following is the best way to break apart 2(36) to use the distributive property?
A. 2 (34 +2)
B. 2 (30 +6)
C. 2 (27 +9)
D. 2 (29 + 7)
B. 2 (30 + 6)
4 + [10 x ( 4 + 3)2 ] - 2
492
Mrs. Gilbert is buying party supplies for a school celebration. Balloons are sold in bags of 10 and party horns are sold in bags of 6. How many of each should she buy so there is an equal number of balloons and party horns?
3 bags of balloons and 5 bags of horns (30 of each)
Rosa is making a game board that is 16 inches by 24 inches. She wants to use square tiles to cover the board. What is the largest sized tile she can use to cover the board with whole tiles?
8 x 8 tiles, because 8 is the GCF of 16 and 24.
23 x 32 is the prime factorization of what number?
72
Use the distributive property to complete the following problem.
7(54) = 7(50 +4) = 7(__) + 7(__) = ___ + ___
7(50) + 7(4) = 350 + 28
[52 + (24 ÷6 + 52)] + 52
58
Tony exercises every 12 days and Isabel exercises every 8 days. If they both exercise today, in how many days will they exercise together again?
In 24 days they will exercise together again.
Samantha has cut two pieces of cloth. One piece is 72 inches wide and the other is 90 pieces wide. She wants to cut both pieces into strips of equal width that are as wide as possible. What size should she cut the strips?
18 inches wide, because 18 is the GCF of 72 and 90.
What is the prime factorization of 80?
A. 4 x 4 x 5
B. 2 x 2 x 4 x 5
C. 2 x 2 x 2 x 2 x 5
D. 24 x 5
C and D
Complete the following distributive property problem:
270 + 36 = ___ (___ + ___)
270 + 36 = 2 (135 + 18) or 3 (90 + 12) or 6 (45 + 6) or 9 (30 + 4) or 18 (15 + 2)
Where should parentheses be placed in order make this statement true?
34 – 22 ÷ 6 = 5
(34 – 22 ) ÷ 6 = 5
A radio station is having a giveaway. Every 12th caller receives a gift certificate to a local restaurant and every 15th caller receives a free pair of concert tickets. Which caller will be the first caller to win both?
The 60th caller
Mrs. Evans has 120 crayons and 30 pieces of paper to give her students. What is the largest number of students she can have in her class so that each student gets an equal number of crayons and equal numbers of pieces of paper?
30 students, each student could have 1 piece of paper and 4 crayons.
What is the prime factorization of 100?
2 x 2 x 5 x 5 or 22 x 52
Use the distributive property to complete the following problem
8(40 + 7) = ___ ( ___ ) + ___ (___) = ___ + ___
8 (40) + 8 (7) = 320 + 56
Where should an exponent be placed to make this statement true?
(11 x 6 – 6 ) + (4 + 2 ) = 36
(11 x 6 – 62 ) + (4 + 2 ) = 36