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Ninth Grade (Grade 9) Number Properties Questions

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Grade 9 Number Properties
Which of the following is an example of the Closure Property of Multiplication for the set of whole numbers?
  1. 72 + 51 = 51 + 72
  2. 65 + 0 = 65
  3. 6 x 4 = 24
  4. (2 + 4) + 5 = 2 + (4 + 5)
Grade 9 Number Properties
Name the property shown.
[math](4*6)*c=4*(6*c)[/math]
  1. The Commutative Property of Multiplication
  2. The Associative Property of Multiplication
  3. Both
  4. Neither
Grade 9 Number Properties
Name the property that is shown.

[math]6*7*b=7*b*6[/math]
  1. The Commutative Property of Multiplication
  2. The Associative Property of Multiplication
  3. Both
  4. Neither
Grade 9 Number Properties
Which property is demonstrated by the equation [math]1+(3c+a)=(1+3c)+a[/math] ?
  1. Transitive property
  2. Associative property
  3. Commutative property
  4. Reflexive property
Grade 9 Number Properties
What is the result of applying the distributive property to [math]3(a+2)[/math]?
  1. [math]3a - 2[/math]
  2. [math]3a + 2[/math]
  3. [math]3a - 6[/math]
  4. [math]3a + 6[/math]
Grade 9 Number Properties
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
Grade 9 Number Properties
Tell whether the statement illustrates the Commutative Property of Multiplication or the Associative Property of Multiplication.
[math]5*(3*x) = (5*3)*x[/math]
  1. Commutative Property of Multiplication
  2. Associative Property of Multiplication
  3. Both
  4. Neither
Grade 9 Number Properties
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)
Grade 9 Number Properties
Tell whether the statement illustrates the Commutative Property of Multiplication or the Associative Property of Multiplication.

[math]4*m=m*4[/math]
  1. Commutative Property of Multiplication
  2. Associative Property of Multiplication
  3. Both
  4. Neither
Grade 9 Number Properties
Which property is illustrated by the equation [math]ax + ay = a(x + y)[/math]?
  1. commutative
  2. associative
  3. distributive
  4. multiplicative inverse
Grade 9 Number Properties
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
Grade 9 Number Properties
This is an example of which property?

[math](5xx3)xx7=5xx(3xx7)[/math]
[math]15xx7=5xx21[/math]
[math]105=105[/math]
  1. Commutative Property of Multiplication
  2. Distributive Property
  3. Identity Property
  4. Associative Property of Multiplication
Grade 9 Number Properties
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
Grade 9 Number Properties
Which property of numbers is being shown?
[math]12cdot1=12[/math]
  1. Additive identity
  2. Multiplicative identity
  3. Multiplicative property of zero
  4. Symmetric property of equality
Grade 9 Number Properties
Which equation below shows a correct use of the multiplicative identity property?
  1. x * 1 = 1 * x
  2. xy = yx
  3. x * 1 = x
  4. 2x + 3 = 3 + 2x
Grade 9 Number Properties
If [math]a=b[/math], then [math]ac=bc [/math].
  1. Substitution property
  2. Multiplication property
  3. Subtraction property
  4. Addition property
  5. Division property
Grade 9 Number Properties
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
Grade 9 Number Properties
Tell whether the statement illustrates the Commutative Property of Multiplication or the Associative Property of Multiplication.

[math]7(g^3*y^3)=7(y^3*g^3)[/math]
  1. Commutative Property of Multiplication
  2. Associative Property of Multiplication
  3. Both
  4. Neither
Grade 9 Number Properties
Which of the following is an example of the Closure Property of Addition for the set of whole numbers?
  1. 3 + 92 = 95
  2. (2 + 4) + 5 = 2 + (4 + 5)
  3. 4 x 6 = 24
  4. If 3 x 7 = 21 and 21= a, then 3 x 7 = a
Grade 9 Number Properties
Which equation below shows a correct use of the associative property?
  1. (a + b) + c = a + (b + c)
  2. a + b = b + a
  3. 2(a + b) = 2a + 2b
  4. ab = ba
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