Question

Find using distributive property $ 5437 \times 1001 $ .

Answer 1

Hint: As we know that in the above question we have to find the product of numbers but by using the distributive property. We can say that the product is the result of one or more multiplications. We know that there are three properties of numbers that are very commonly used. They are Commutative property, Associative property and Distributive property. In this question we have to use the last one.

Complete step-by-step answer:
Given numbers in the question are $ 5437 \times 1001 $ .
Since distributive property means to divide the given operations on the numbers so that the equation becomes easier to solve. If there is $ a(b + c) $ , then we apply distributive property and write it as $ a \times b + a \times c = ab + ac $ .
In this question we will break $ 1001 $ as $ (1000 + 1) $ . So the given term can be written as $ 5437(1000 + 1) $ .
By applying the above formula we can solve:
 $ 5437(1000 + 1) = 5437 \times 1000 + 5437 \times 1 $ .
On further solving we have, $ 5437000 + 5437 = 5442437 $ .
Hence the required value is $ 5442437 $ .
So, the correct answer is “ $ 5442437 $ .”.

Note: We should note that distributive property is also known as the law of multiplication. Distribute means the name itself implies that to divide something. It also meant “ multiplication distributed over addition.” This property can be applied over addition, subtraction, multiplication and Division.