Mathematics

Grade-3-

Easy

Question

# Represent using the Distributive Property: 8 × 49

- (2 × 40) + (2 × 3)
- (2 × 90) + (2 × 4)
- (8 × 20) + (8 × 4)
- (8 × 40) + (8 × 9)

Hint:

### Distributive property is the law in which we can solve problems which are in the form a(b+c). To solve this type of problem we just have to multiply a with b and then c which can be written as ab+ ac and then finally add them. It is one of the common formula which is used to solve problems. Here, we have to represent the given problem using distributive property.

## The correct answer is: (8 × 40) + (8 × 9)

### In the question we have to represent 8 × 49 using distributive property.

Here, we have to represent 8 × 49 using distributive property.

We can write 49 as 49 = 40 + 9

So, 8 × 49

=8×(40+9)

= (8 × 40) + (8 × 9) [Using Distributive Property]

So, 8 × 49 can be written as (8 × 40) + (8 × 9) using distributive property.

Therefore, the correct option is d, i.e., (8 × 40) + (8 × 9).

In distributive property, when a factor is to be multiplied with the sum of two numbers, we do not directly add the two numbers and then multiply the sum with the factor. Rather, we multiply both the numbers with the factor differently and then add the multiplication value.