Properties Of Numbers Quiz Questions

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| By Melinda Meo
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Melinda Meo
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  • 1/10 Questions

    Which property does the following expression represent? 8 * 1 = 8

    • Distributive Property
    • Identity Property of Multiplication
    • Commutative Property of Multiplication
    • Identity Property of Addition
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Properties Of Numbers Quiz Questions - Quiz
About This Quiz

The Properties of Numbers Quiz is designed to help you explore and test your understanding of fundamental mathematical concepts. This quiz covers essential properties like commutative, associative, distributive, identity, and inverse properties of addition and multiplication. Each question will challenge your knowledge and ability to apply these properties to solve various math problems.

This quiz provides a comprehensive review of key concepts in number theory. Take the quiz to sharpen your math skills, identify areas that need improvement, and build a stronger foundation in the properties of numbers. Take the quiz now and see how well you know your numbers!

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  • 2. 

    Which property of addition is demonstrated by the equation: 3+5=5+3?

    • Commutative Property

    • Associative Property

    • Distributive Property

    • Identity Property

    Correct Answer
    A. Commutative Property
    Explanation
    The commutative property of addition states that the order in which two numbers are added does not affect the sum. In other words, a+b=b+a. In the given equation, 3+5=5+3, the numbers 3 and 5 are added in different orders, but the result is the same (8). This demonstrates the commutative property.

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  • 3. 

    Which property does the following expression represent? (4+7)+3=4+(7+3)

    • Distributive Property

    • Associative Property of Multiplication

    • Associative Property of Addition

    • Commutative Property of Addition

    Correct Answer
    A. Associative Property of Addition
    Explanation
    The given expression represents the Associative Property of Addition. This property states that when adding three or more numbers, the grouping of the numbers does not affect the sum. In the given expression, the numbers 4, 7, and 3 are added together. The expression shows that whether we group (4+7) first and then add 3, or group 7 and 3 first and then add 4, the result will be the same. This demonstrates the Associative Property of Addition.

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  • 4. 

    Which one of the following is the correct answer for 3(x+2)?

    • 3x+2

    • 3x+6

    • X+6

    • 3

    Correct Answer
    A. 3x+6
    Explanation
    The correct answer is 3x+6 because when we distribute the 3 to both terms inside the parentheses, we get 3 times x which is 3x, and 3 times 2 which is 6. Therefore, the expression simplifies to 3x+6.

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  • 5. 

    Which one of the following is the identify property for addition?

    • 3 + 0 = 3

    • 3 * 1 = 3

    • 3 + 7 = 7 + 3

    • 3 + -3 = 0

    • 3 * 0 = 0

    Correct Answer
    A. 3 + 0 = 3
    Explanation
    The identity property for addition states that when any number is added to zero, the result is the original number. In the given options, the equation 3 + 0 = 3 satisfies this property. Adding 0 to 3 does not change the value of 3, making it the identity element for addition.

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  • 6. 

    What is the result of applying the distributive property to the expression 4 (2+6)

    • 4 x 8

    • 8 + 8

    • 8 + 24

    • 2 + 24

    Correct Answer
    A. 8 + 24
    Explanation
    The distributive property states that multiplying a number by a sum is the same as multiplying the number by each addend separately and then adding the results. Mathematically, it is represented as a(b+c)=ab+ac In the expression 4(2+6), applying the distributive property means multiplying 4 by 2 and 4 by 6, then adding the results:
    4(2+6)=(4⋅2)+(4⋅6)=8+24.

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  • 7. 

    Which property of multiplication is shown by the equation: 5 × (3 × 2) = (5 × 3) × 2?

    • Commutative Property

    • Associative Property

    • Distributive Property

    • Identity Property

    Correct Answer
    A. Associative Property
    Explanation
    The associative property of multiplication states that the way in which numbers are grouped in a multiplication problem does not change the product. This property is shown in the equation 5 × (3 × 2) = (5 × 3) × 2, where the grouping of the numbers changes, but the result remains the same.

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  • 8. 

    The following expression represents the Identity Property of Multiplication. 3 * 0 = 0

    • True

    • False

    Correct Answer
    A. False
    Explanation
    The expression 3 * 0 = 0 represents the Zero Property of Multiplication, which states that any number multiplied by zero equals zero. The Identity Property of Multiplication states that any number multiplied by one equals itself (e.g., 3 * 1 = 3).

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  • 9. 
    Find the perimeter of the rectangle shown in the following picture.   - ProProfs

    Find the perimeter of the rectangle shown in the following picture.  

    • 4x

    • 12x

    • 6x

    • 8x

    Correct Answer
    A. 12x
    Explanation
    To find the perimeter of the rectangle shown in the picture, we use the formula for the perimeter of a rectangle:
    Perimeter = 2 × (Length + Width)
    From the picture:
    Length = 4x
    Width = 2x
    Step-by-step Solution:
    Apply the Formula:
    Perimeter = 2 × (4x + 2x)
    Simplify the Expression:
    Perimeter = 2 × 6x
    Perimeter = 12x
    Final Answer:
    The perimeter of the rectangle is 12x.

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  • 10. 

    What property is this an example of :  8 + (9 + 6) = 8 + ( 6 + 9)?

    • Commutative

    • Associative

    • Distributive

    • Inverse

    Correct Answer
    A. Associative
    Explanation
    8 + (9 + 6) = 8 + (6 + 9)
    is the associative property of addition.
    According to the associative property of addition, the grouping of numbers in addition does not affect the sum. In other words, you can change the grouping of the numbers being added, and the result will remain the same. This property holds true for addition because the order in which numbers are added does not change the total sum.

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  • Current Version
  • Nov 13, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Sep 08, 2017
    Quiz Created by
    Melinda Meo
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