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Math for Elementary Teachers 1 WGU

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Math for Elementary Teachers 1 WGU Commutative Property Correct Answer: The order in which numbers are added or multiplied does not change the sum or product. Change places a+b=b+a a*b=b*a Associative Property Correct Answer: The way in which numbers are grouped does not change their sum or product (2+3)+4=2+(3+4) or (2*3)*4=2*(3*4) Distributive Property Correct Answer: a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac Front-end with adjustment Correct Answer: Round the front end of each number & then check to see if the sum of the other numbers will create another of the front #'s 965 =1000 215 =200 142 =100 65+15+42=100 Divisible by 3 Correct Answer: if the sum of the digits is divisible by 3 divisible by 6 test Correct Answer: If the sum of the digits is divisible by 2 & 3 divisible by 9 test Correct Answer: If the sum of the digits is divisible by 9 divisible by 4 test Correct Answer: If the last 2 digits are divisible by 4 divisible by 8 rule Correct Answer: If the last 3 digits are divisible by 8 intersection of sets Correct Answer: the elements that are common to two or more sets LCM (Least Common Multiple) Correct Answer: 1st GCD (divide until no remainder) 2nd multiply the first 2 #s 3rd divide by the number from 1st step GCD (a,b)*LCM (a,b)= ab Theorem Correct Answer: A mathematical statement which we can prove to be true Ways to identify sets Correct Answer: 1. A written description A is the set of calendar months beginning with the letter J. 2. List or roster method A=(January, June, July) 3. Set-builder notation

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Math for Elementary Teachers 1 WGU
Commutative Property Correct Answer: The order in which numbers are added or multiplied does not
change the sum or product.
Change places
a+b=b+a a*b=b*a

Associative Property Correct Answer: The way in which numbers are grouped does not change their
sum or product
(2+3)+4=2+(3+4) or (2*3)*4=2*(3*4)

Distributive Property Correct Answer: a property indicating a special way in which multiplication is
applied to addition of two or more numbers in which each term inside a set of parentheses can be
multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac

Front-end with adjustment Correct Answer: Round the front end of each number & then check to see if
the sum of the other numbers will create another of the front #'s
965 =1000
215 =200
142 =100
65+15+42=100

Divisible by 3 Correct Answer: if the sum of the digits is divisible by 3

divisible by 6 test Correct Answer: If the sum of the digits is divisible by 2 & 3

divisible by 9 test Correct Answer: If the sum of the digits is divisible by 9

divisible by 4 test Correct Answer: If the last 2 digits are divisible by 4

divisible by 8 rule Correct Answer: If the last 3 digits are divisible by 8

intersection of sets Correct Answer: the elements that are common to two or more sets

LCM (Least Common Multiple) Correct Answer: 1st GCD (divide until no remainder)
2nd multiply the first 2 #s
3rd divide by the number from 1st step
GCD (a,b)*LCM (a,b)= ab

Theorem Correct Answer: A mathematical statement which we can prove to be true

Ways to identify sets Correct Answer: 1. A written description
A is the set of calendar months beginning with the letter J.
2. List or roster method
A=(January, June, July)
3. Set-builder notation

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