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Question

Simplify: 0.8×0.8+3×0.3×0.9-0.4×0.4


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Solution

Here, we use the concept of simplifying the expressions by opening brackets one by one and then using ‘BODMAS’.

Following are the steps to be followed:

  1. There are four types of brackets. The order of simplifying brackets is: (1) Bar or vinculum ¯ (2) Small brackets ( ) (3) Curly brackets { } (4) Square brackets [ ].
  2. After removing the brackets, simplification is to be done in the order of the letters of the word ‘BODMAS’. Here B, O, D, M, A, S stands for Brackets, Of, Division, Multiplication, Addition and Subtraction respectively.

We have,

0.8×0.8+3×0.3×0.9-0.4×0.4

=0.64+0.81-0.16[Multiplying]=1.45-0.16[Adding]=1.29[Subtracting]


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