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Number Properties Questions - All Grades

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Grade 9 Number Properties
This is an example of which property?

(5×3)×7=5×(3×7)
15×7=5×21
105=105
  1. Commutative Property of Multiplication
  2. Distributive Property
  3. Identity Property
  4. Associative Property of Multiplication
Grade 9 Number Properties
If a=b, then ac=bc.
  1. Substitution property
  2. Multiplication property
  3. Subtraction property
  4. Addition property
  5. Division property
Grade 3 Number Properties CCSS: 3.OA.B.5
Which statement explains the equation (6×3)×2=6×(3×2)?
  1. Changing the grouping of addends changes the sum.
  2. Changing the grouping of factors changes the product.
  3. Changing the grouping of the addends does not change the sum.
  4. Changing the grouping of factors does not change the product.
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.

7(g3⋅y3)=7(y3⋅g3)
  1. Commutative Property of Multiplication
  2. Associative Property of Multiplication
  3. Both
  4. Neither
Grade 9 Number Properties
Which property of numbers is being shown?
12⋅1=12
  1. Additive identity
  2. Multiplicative identity
  3. Multiplicative property of zero
  4. Symmetric property of equality
Grade 6 Number Properties CCSS: 6.EE.A.3
7(n + 5) = (7 x 4) + (7 x 5)
  1. n = 40
  2. n = 32
  3. n = 13
  4. n = 4
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 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
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 10 Number Properties
If you add 0 to any number the answer will be that same number.
  1. Associative Property of Addition
  2. Associative Property of Multiplication
  3. Identity Property of Addition
  4. Identity Property of Multiplication
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
Grade 6 Number Properties
Which equation is an example of the identity property of multiplication?
  1. 6 x (2 x 3) = (6 x 2) x 3
  2. 540 x 4 = 4 x 540
  3. 1 x 123 = 123
  4. 6 (16 + 4) = (6 x 16) + (6 x 4)
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