CHAPTER 2 QUIZ REVIEW

Find the lcm 6 and 14

ANSWER: LCM = 42 6 = 2 x 3 14 = 2 x 7 LCM = 2 x 3 x 7

FIND THE GCF. 54 and 117

ANSWER: GCF = 9 54 = 2 x 3 x 3 x 3 117 = 3 x 3 x 13

Tell whether the number is divisible by 2, 3, 4, 5, 6, 9 or 10. 1,125

1, 125 is divisible by: 3, 5, and 9 ANSWER: 1 + 1 + 2 + 5 = 9 and 9 is divisible by 3 and 9 1,125 has a 5 in ones place, so is divisible by 5

SOLVE. Film Schedule Feature Length Cartoons 24 minutes Action 60 minutes Comedy 48 minutes Short films are shown continuously at the state fair. If the three films start together at 9:00AM, what time will it be when they all start at the same time again?

ANSWER: 1:00 PM 24 = 2 x 2 x 2 x 3 60 = 2 x 2 x 3 x 5 48 = 2 x 2 x 2 x 2 x 3 LCM = 24 x 3 x 5 = 240 240 ÷ 60 = 4 hours 9AM + 4 hours = 1 PM

Solve. Chris wants to buy storage boxes that are all the same height and can be stacked on 24-inch or 30 inch shelves with no spare space above or below. What is the tallest box that will work?

ANSWER: The tallest box that will work is 6 inches tall. 24 = 2 x 2 x 2 x 3 30 = 2 x 3 x 5 GCF = 2 x 3 = 6

Fill in the blank. A diagram that uses branches to show how a number can be written as the product of prime numbers is called a __________.

ANSWER: A diagram that uses branches to show how a number can be written as the product of prime numbers is a factor tree.

Fill in the blank. __________________ is an expression that represents repeated multiplication of a factor; it has 2 elements, the base and the exponent.

Power is an expression that represents repeated multiplication of a factor; it has 2 elements, the base and the exponent.

Fill in the blank. A number that is a multiple of two or more numbers is called a ________________.

ANSWER: A number that is a multiple of two or more numbers is called a common multiple.

Fill in the blank. The ____________ states that every natural number is either prime or can be uniquely written as a product of primes.

ANSWER: The Fundamental Theorem of Arithmetic states that every natural number is either prime or can be uniquely written as a product of primes.

The sentences below, illustrates which properties? 5 x (9 x 1) = 5 x (1 x 9) (6 x 7) x 2 = 6 x (7 x 2)

ANSWER: Commutative: 5 x (9 x 1) = 5 x (1 x 9) Associative:

What are Relatively Prime Numbers?

ANSWER: Relatively Prime Numbers are two numbers which do not have any common factors other than 1.