Knowing our Numbers – Expanding Brackets- Part 1

# Knowing our Numbers – Expanding Brackets- Part 1

• Expansion of Brackets
• Summary
• What’s Next?

In our previous segment, we learnt how using brackets helps us solve mathematical problems. In this segment, we will learn an alternate method of solving problems, by expanding brackets.

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## What is expansion of brackets?

Expanding a bracket is nothing but multiplying the term outside the brackets, with every term inside the brackets.

For example: 2 x (35 + 55)

Using BODMAS, this can be solved as

2 x (35 + 55) = 2 x (90)

= 180

Let us now see how we can solve this same example by expansion of brackets.

2 x (35 + 55) = 2 x 35 + 2 x 55

= 70 + 110

= 180

Expanding brackets can make the multiplication simpler and quicker. Let us understand this with a few examples.

Example 1: 7 x 106

This expression can be rewritten as 7 x (100 + 6)

Here we are splitting 106 as (100+ 6) because it is easier to multiply a number with the multiples of 100.

Solving this by expanding brackets will give

= 7 x 100 + 7 x 6

= 700 + 42

= 742

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