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Glam Journal

Is subtraction associative yes or no?

Author

David Craig

Updated on March 19, 2026

Is subtraction associative yes or no?

Associative property: Associative law states that the order of grouping the numbers does not matter. This law holds for addition and multiplication but it doesn’t hold for subtraction and division.

Does associative property apply to subtraction?

An associative property does not hold for the subtraction of whole numbers. This means that we cannot group any two whole numbers and subtract them first. Order of subtraction is an important factor. If ‘a’, ‘b’, and ‘c’ are the three whole numbers then, a − (b − c) ≠ (a − b) − c.

Is subtraction commutative or associative?

Addition and multiplication are commutative. Subtraction and division are not commutative.

Is subtraction associative explain with an example?

Subtraction is not associative in rational numbers because the grouping will affect the result of the problem.

Is subtraction not associative?

Contrary to addition, subtraction doesn’t have the associative property. If we subtract the first two numbers, 10 minus 5, it gives us 5. Changing the way of associating the numbers in subtraction changes the answer. Thus, subtraction doesn’t have the associative property.

Why are subtraction and division not associative?

On the other hand, subtraction is not associative since changing the grouping changes the result. 2. In programming, an associative operation occurs when no grouping is present, where operators have the same precedence, or are evaluated either left to right or vice versa.

Does associative property hold for subtraction of rational numbers?

Addition and multiplication are associative for rational numbers. Subtraction and division are not associative for rational numbers.

Is subtraction associative is division associative justify your answer by giving a counter example?

In the additional examples, it does not matter the order the numbers are added. Whether adding 2+5 first and then adding 2, or adding 2+2 first and then adding 5, the result is 9 and makes it associative. On the other hand, subtraction is not associative since changing the grouping changes the result.

Is subtraction associative Why or why not?

Changing the way of associating the numbers in subtraction changes the answer. Thus, subtraction doesn’t have the associative property.

How is subtraction not commutative?

Subtraction is not commutative because changing the order of the numbers changes the answer. Addition is commutative, which means that the order in which we add numbers does not matter.

Why subtraction and division are not associative for rational numbers explain with examples?

When all three rational numbers are subtracted or divided in an order, the result obtained will change if the order is changed. So, subtraction and division are not associative for rational numbers.

What is not an associative rational number?

Answer: Subtraction and division are not associative for rational numbers. When any three rational numbers are subtracted or divided in an order, the result so obtained will change if the order is changed.