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Sixth Grade (Grade 6) Number Properties Questions

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Grade 6 Number Properties
Which property is illustrated by 14x + 7 = 7 + 14x?
  1. Distributive Property of Multiplication over Addition
  2. Associative Property of Addition
  3. Commutative Property of Addition
  4. Inverse Property of Addition
Grade 6 Number Properties CCSS: 6.EE.A.3
Using the distributive property, what is 7(x+9) equal to?
  1. (7x)+(7×9)
  2. 63x
  3. (7x)+(9x)
Grade 6 Number Properties
Grade 6 Number Properties CCSS: 6.EE.A.3
Grade 6 Number Properties
This property states that changing the order of two or more factors in a multiplication sentence does not change the product. Ex: a×b=b×a
  1. Distributive Property
  2. Associative Property of Multiplication
  3. Commutative Property of Multiplication
Grade 6 Number Properties
Grade 6 Number Properties
Which property is shown in the equation?

(12 + 3) + 4 = 12 + (3 + 4)
  1. Associative Property of Addition
  2. Commutative Property of Addition
  3. Identity Property of Addition
  4. Distributive Property
Grade 6 Number Properties CCSS: 6.EE.A.3
b4 is equal to which of the following expressions?
  1. b+4
  2. (b+b+4)
  3. 4b
  4. b-4
Grade 6 Number Properties
Grade 6 Number Properties
Which property is shown in the equation?

3 + 5 + 8 = 8 + 5 + 3
  1. Associative Property of Addition
  2. Commutative Property of Addition
  3. Identity Property of Addition
  4. Distributive Property
Grade 6 Number Properties CCSS: 6.EE.A.3
Which expression is equivalent to 5(a + b)?
  1. 5a + b
  2. a + 5b
  3. 5a + 5b
  4. (a + b) 5
Grade 6 Number Properties
Grade 6 Number Properties
Grade 6 Number Properties
Grade 6 Number Properties
3(5+6)
  1. 3×5+3×6
  2. 15+21
  3. 5×6-3×3
Grade 6 Number Properties
Which addition property is illustrated by the statement 3+0=3?
  1. Associative
  2. Commutative
  3. Distributive
  4. Identity
Grade 6 Number Properties CCSS: MP5
Write an equation for the model.

White RectangleWhite RectangleWhite RectangleWhite RectangleWhite RectangleWhite RectangleWhite RectangleWhite Rectangle4 Black Unit Squares4 Black Unit Squares4 Black Unit Squares=

White RectangleWhite RectangleBlack Unit SquareBlack Unit SquareBlack Unit SquareWhite RectangleWhite RectangleBlack Unit SquareBlack Unit SquareBlack Unit SquareWhite RectangleWhite RectangleBlack Unit SquareBlack Unit SquareBlack Unit SquareWhite RectangleWhite RectangleBlack Unit SquareBlack Unit SquareBlack Unit Square
  1. 4(2x+3)=8x+12
  2. 4(2x-3)=8x-12
  3. 8x+12=4(2x+3)
  4. 8x-12=4(2x-3)
Grade 6 Number Properties
Choose the property best illustrated by the number sentence.

8+7=7+8
  1. Reflexive Property of Equality
  2. Commutative Property of Equality
  3. Transitive Property of Equality
Grade 6 Number Properties
Which property is used in the following equation? -55+0=-55
  1. commutative
  2. identity
  3. distributive
  4. associative
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