A Class III student performs multiplication of 16 × 25 as follows: 16 × 25 = 8 × 2 × 5 × 5 16 × 25 = 8 × 5 × 2 × 5 16 × 25 = 40 × 10 16 × 25 = 400 Which property of multiplication has the student used in this question?

Associative law
Repeated addition
Inverse multiplication law
Distributive law

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : Associative law

Associative Law:

It means the numbers are associated in any desired way or sequence. The grouping of numbers doesn’t affect the result.
Changing the grouping of multiples does not change the product.

For example:-

a × b × c = b × c × a = c × a × b

16 × 25 = 400 = 40 × 10.

Hint

Repeated Addition: It means a number is added the number of times by which it is multiplied.
Eg: 25 × 5 = 25 + 25 + 25 + 25 + 25.
Inverse Multiplication Law: It states that the product of any number and it's reciprocal is always 1
Eg: a × 1/a = 1.
Distributive Law: It means the monomial factor is distributed or separately applied to each term of the polynomial doesn’t affect the result.
Eg: a(b + c) = ab + ac.

Hence, from the above points, we can clearly infer that the student used Associative Law in the Question.

4 views Answered 2022-09-04 04:29

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