Properties Of Multiplication And Addition

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1. The sum of two even numbers is always even.

Explanation

When two even numbers are added together, the result will always be an even number. This is because even numbers can be expressed as multiples of 2, and when two multiples of 2 are added, the result will still be a multiple of 2. Therefore, the sum of two even numbers is always even.

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Properties Of Multiplication And Addition - Quiz

Explore the fundamental properties of multiplication and addition through a quiz designed to test and enhance understanding of associativity, commutativity, and numerical relationships. Ideal for learners seeking to... see moresolidify their arithmetic skills. see less

2. The sum of two different whole numbers is always greater than either addend.

Explanation

The statement is true because when adding two different whole numbers, the sum will always be greater than either of the two numbers. This is because when adding two numbers, the sum is essentially combining the quantities of both numbers, resulting in a larger value.

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3. Division of whole numbers is commutative.

Explanation

The division of whole numbers is not commutative. This means that the order in which the numbers are divided affects the result. For example, if we divide 10 by 2, we get 5. However, if we divide 2 by 10, we get 0.2. This shows that the division operation is not commutative for whole numbers.

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4. Subtraction of whole numbers is associative.

Explanation

Subtraction of whole numbers is not associative. Associativity means that the grouping of numbers does not affect the result. However, in subtraction, changing the grouping of numbers will result in different answers. For example, (5 - 3) - 2 is not equal to 5 - (3 - 2). Therefore, the statement is false.

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5. 5 (1) = 1 (5) is an example of associative property.

Explanation

The given statement, 5 (1) = 1 (5), is not an example of the associative property. The associative property states that the grouping of numbers does not affect the result of the operation. In this case, the numbers are being multiplied, and switching the order of the numbers does affect the result. Therefore, the given statement does not demonstrate the associative property.

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The sum of two even numbers is always even.
The sum of two different whole numbers is always greater than either...
Division of whole numbers is commutative.
Subtraction of whole numbers is associative.
5 (1) = 1 (5) is an example of associative property.
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