1. CHAPTER 2 QUIZ REVIEW

2. Find the lcm
6 and 14

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

4. FIND THE GCF.
54 and 117

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

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

7. 1, 125 is divisible by: 3, 5, and 9 ANSWER:
= 9 and 9 is divisible by 3 and 9
1,125 has a 5 in ones place, so is divisible by 5

8. 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?

9. 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

10. 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?

11. 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

12. 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 __________.

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

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

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

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

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

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

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

20. 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)

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

22. What are Relatively Prime Numbers?

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