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# Number Properties Questions - All Grades

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Which property is $x * 4 = 4x$?
2. Commutative Property of Multiplication
3. Inverse Property of Multiplication
Which of the following is an example of the Commutative Property of Addition?
1. 7 x 51= 51 x 7
2. 12+ 0 = 12
3. 57 + 32 = 32 + 57
4. 8 (5 + 4) = (8 x 5) + (8 x 4)
Which of the following is an example of the Associative Property of Multiplication?
1. (2 + 4) + 5 = 2 + (4 + 5)
2. (3 x 4) x 5 = 3 x (4 x 5)
3. 52 x 4 = 4 x 52
4. 3 + 92 = 95
Which of the following is an example of the Identity Property of Addition?
1. 72 + 51 = 51 + 72
2. 3 + 92 = 95
3. 17 + 0 = 17
4. (2 + 4) + 5 = 2 + (4 + 5)
Which equation illustrates the identity property of multiplication?
1. $(xy)z=x(yz)$
2. $x*0=0$
3. $x*1=x$
4. $x+0=x$
Which is an example of the Multiplication Property of Zero?
1. 7 x 0 = 0
2. 0 + 1 = 1
3. 2 x 1 = 1 x 2
4. 3(4 x 5)
Which equation below shows a correct use of the distributive property?
1. 2(3 + 5) = (2 + 3) x (2 + 5)
2. 2(3 + 5) = (2 x 3) + 5
3. 2(3 + 5) = 2(5 + 3)
4. 2(3 + 5) = (2 x 3) + (2 x 5)
Which property is illustrated by 14x + 7 = 7 + 14x?
1. Distributive Property of Multiplication over Addition
Which of the following is an example of the Identity Property of Multiplication?
1. 4 x 6 = 24
2. 98 x 1 = 98
3. 52 x 4 = 4 x 52
4. (3 x 4) x 5 = 3 x (4 x 5)
Which of the following is an example of the Commutative Property of Multiplication?
1. (3 x 4) x 5 = 3 x (4 x 5)
2. 52 x 4 = 4 x 52
3. 98 x 1= 98
4. 4 x 6 = 24
Drew rearranged an expression to make it easier to solve. He changed 2 + (3 + 5) to
(2 + 3) + 5.

Which of the following properties tells us that it is okay for Drew to arrange the problem that way?
2. distributive property of multiplication over addition
Which of the following is an example of the Associative Property of Addition?
1. (2 + 4) + 5 = 2 + (4 + 5)
2. 72 + 51 = 51 + 72
3. 6 (16 + 4) = (6 x 16) + (6 x 4)
4. If 3 x 7 = 21 and 21= a, then 3 x 7 = a
6 + (5 + 4) = 6 + (4 + 5) is an example of which property?
Which property is demonstrated here?

2(x + y) = 2x + 2y
1. Associative Property
2. Commutative Property
3. Distributive Property
4. Identity Property
Which of the following is an example of the distributive property?
1. 98 x 1= 98
2. 3 + 92 = 95
3. 72 + 51 = 51 + 72
4. 6 (16 + 4) = (6 x 16) + (6 x 4)
Which property is used in the equation below?

$15(x+4)=15x+60$