Question

Using distributive property, solve the following: 360 x 103

Answer 1

Answer:

86314 is the correct answer

Answer 2

The required value is 37080.

Given:

The number 360 x 103.

To Find:

The value of 360 x 103.

Solution:

We will use the distributive property of multiplication over addition here to simplify our calculations. This method is very useful for the multiplication of higher numbers.

If a, b, and c are three numbers, then according to the distributive property of multiplication we have:

ax(b+c) = (axb) + (axc) ............................(over addition)

ax(b-c) = (axb) - (axc) ............................(over subtraction)

We have to solve 360 x 103 using the distributive property of multiplication over addition.

Now, 103 = 100+3.

So, 360 x 103 = 360 x (100 + 3)

⇒ 360 x 103 = (360 x 100) + (360 x 3) = 36000+1080 = 37080.

The required value is 37080.

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