MathsKnowing Our NumbersKnowing our Numbers – Expanding Brackets- Part 1

Knowing our Numbers – Expanding Brackets- Part 1

Table of Contents

  • 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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