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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

16. Which equation shows the Commutative property of multiplication?

A) 2(9)=9(2)
B) 3(2+4)=3(2)+3(4)
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) Associative property of addition
C) Identity property of addition
D) Commutative property of addition

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

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

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

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

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

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

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