Properties of Multiplication and Addition

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

16. Which equation shows the Commutative property of multiplication?

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

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

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

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

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

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

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

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

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

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