Properties of Multiplication and Addition

1. The product of any number and one is that number. For example, a(1)=a.

A) Inverse property of multiplication
B) Identity property of multiplication
C) Inverse property of addition
D) Identity property of addition

2. When three or more numbers are multiplied, the product is the same regardless of the order of the numbers. For example, (a*b)(c)=a(b*c)

A) Associative property of multiplication
B) Associative property of addition
C) Commutative property of addition
D) Commutative property of multiplication

3. The sum of two numbers times a third number is equal to the sum of each number times the third number. For example, a(b+c)=a(b)+a(c)

A) Distributive property
B) Commutative property of multiplication
C) Commutative property of addition
D) Associative property of multiplication

4. The sum of any number and zero is the original number.

A) Inverse property of addition
B) Identity property of addition
C) Associative property of addition
D) Commutative property of addition

5. When two numbers are multiplied together, the product is the same regardless of the order of the numbers. For example, a(b)=b(a)

A) Commutative property of addition
B) Commutative property of multiplication
C) Associative property of multiplication
D) Identity property of multiplication

6. The additive inverse of a number, a is -a so that a+(-a)=0.

A) Additive inverse property
B) Multiplicative inverse property
C) identity property of multiplication
D) identity property of addition

7. When two numbers are added, the sum is the same regardless of the order of the numbers. For example, a+b=b+a

A) Identity property of addition
B) Commutative property of multiplication
C) Associative property of addition
D) Commutative property of addition

8. When three or more numbers are added, the sum is the same regardless of the grouping of the numbers. For example, (a+b)+c=a+(b+c).

A) Identity property of addition
B) Associative property of addition
C) Inverse property of addition
D) Commutative property of addition

9. Multiplying any number by 0 yields 0. For example, a(0)=0.

A) Identity property of multiplication
B) Zero property of multiplication
C) Inverse property of multiplication
D) Identity property of addition

10. A number multiplied by its reciprocal is equal to 1. For example, 2(1/2)=1

A) Inverse property of multiplication
B) Inverse property of addition
C) Identity property of addition
D) Identity property of multiplication

11. Simplify this expression using the distributive property: 6(y+z)

A) 6(yz)
B) 6y+6z
C) 6z+y
D) 6y+z

12. Which is an example of Associative property of addition?

A) 2+(-2)=0
B) (5+3)+7=5+(3+7)
C) 6+0=6
D) 9+5=5+9

13. Which property is used in the following expression? x(y+z)=xy+xz

A) Distributive property
B) Associative property of multiplication
C) Commutative property of multiplication
D) Commutative property of addition

14. Which property is used in the following expression? (a*b)c=a(b*c)

A) Associative property of addition
B) Commutative property of multiplication
C) Associative property of multiplication
D) Commutative property of addition

15. Which property of multiplication is shown? 8(5+2)= 8(5)+8(2)

A) Commutative property of multiplication
B) Associative property of multiplication
C) Distributive property
D) Commutative property of addition

16. Which equation shows the Commutative property of multiplication?

A) 3(2+4)=3(2)+3(4)
B) 2(9)=9(2)
C) 7(1)=1(7)
D) 3(3)=3+3+3

17. Which property of addition does 4+0=4 illustrate?

A) Inverse property of addition
B) Commutative property of addition
C) Associative property of addition
D) Identity property of addition

18. Which property is used in the following expression: 5*3*7=5*7*3?

A) Associative property of multiplication
B) Inverse property of multiplication
C) Commutative property of multiplication
D) Identity property of multiplication

19. Which property is used in the following: 3(9+2)=3(9)+3(2)

A) Distributive property
B) Inverse property of multiplication
C) Commutative property of multiplication
D) Associative property of multiplication

20. Which is an example of the identity property of addition?

A) 12+0=12
B) 3+5=5+3
C) 12+(-12)=0
D) 5+(7+3)=(5+7)+3

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