Unit 2 Study Guide Answers

Knowledge: Check your glossary

Proficiency of Skills:

86 (2): Yes because it ends with an even number

36 (3): Yes because 3+6 is 9 which is divisible by 3

44 (4): Yes because 44 forms a number that is divisible by 4

55 (5): Yes because it ends with a 5 or 0

72 (6): Yes because it is divisible by 2 and 3

63 (9): Yes because 6+3 is 9 which is divisible by 9

20 (10): Yes because it ends with a 0

Prime Factorization: (^ indicates an exponent next)

72: 2^3 x 3^2 (2x2x2x3x3)

48: 2^4 x 3 (2x2x2x2x3)

100: 2^2 x 5^2 (2x2x5x5)

Greatest Common Factor:

27 & 72: GCF is 9

56 & 80: GCF is 8

30, 45, & 75: GCF is 15

Least Common Multiple:

5 & 7: LCM is 35

8 & 12: LCM is 24

3, 6, & 9: LCM is 18

Application:

1.)  Keywords, phrases, and numbers are: 36, 6, 4, and 3... least common number of each PACKAGE he should buy to have ONE of each item in every bag.

There are 36 party bags and an equal number of each item should go in each bag (36 is the LCM of all four numbers). In order to have 36 of each item, he must buy 6 packs of glitter pens, 9 packs of stickers, and 12 packs of balls.

2.)  Keywords, phrases, and numbers are: 24, 12, and 42... greatest number of bags... how many pieces of each kind of candy will be in each bag?

There will be 6 bags (6 is the GCF of all three numbers) with 4 lollipops, 2 candy bars, and 7 pieces of gum in each bag.