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You can create printable tests and worksheets from these Grade 9 Number Properties questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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Name the property that is shown.

$6*7*b=7*b*6$
1. The Commutative Property of Multiplication
2. The Associative Property of Multiplication
3. Both
4. Neither
Name the property shown.
$(4*6)*c=4*(6*c)$
1. The Commutative Property of Multiplication
2. The Associative Property of Multiplication
3. Both
4. Neither
Which property is demonstrated by the equation $1+(3c+a)=(1+3c)+a$ ?
1. Transitive property
2. Associative property
3. Commutative property
4. Reflexive property
What is the result of applying the distributive property to $3(a+2)$?
1. $3a - 2$
2. $3a + 2$
3. $3a - 6$
4. $3a + 6$
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 the equation $ax + ay = a(x + y)$?
1. commutative
2. associative
3. distributive
4. multiplicative inverse
Which property describes: 10 x 0 = 0?
1. Identity Property of Multiplication
2. Zero Property of Multiplication
3. Associative Property of Multiplication
4. Commutative Property of Multiplication
Which of the following is an example of the distributive property?
1. 10 x 1 = 10
2. 3(4 + 2) = 3(4) + 3(2)
3. 8 + 7 = 7 + 8
4. 2 x 0 = 0
Which equation below shows a correct use of the multiplicative inverse property?
1. 3 x 1 = 3
2. 3 x 1 = 1 x 3
3. 3 x (1 + 2) = 3 x 3
4. 3 x 1/3 = 1
This is an example of which property?

$(5xx3)xx7=5xx(3xx7)$
$15xx7=5xx21$
$105=105$
1. Commutative Property of Multiplication
2. Distributive Property
3. Identity Property
4. Associative Property of Multiplication
If $a=b$, then $ac=bc$.
1. Substitution property
2. Multiplication property
3. Subtraction property
5. Division property
5 x 8 = 8 x 5 shows which property?
1. Distributive Property of Multiplication
2. Zero Property of Multiplication
3. Commutative Property of Multiplication
4. Associative Property of Multiplication
Which property of numbers is being shown?
$12cdot1=12$
2. Multiplicative identity
3. Multiplicative property of zero
4. Symmetric property of equality