Question

Simplify: $0.8\times 0.8+3\times 0.3\times 0.9-0.4\times 0.4$

Answer 1

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 $\overline{}$ (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,

$0.8\times 0.8+3\times 0.3\times 0.9-0.4\times 0.4$

$$\begin{gathered} =0.64+0.81-0.16\left[\mathrm{Multiplying}\right] \\ =1.45-0.16\left[\mathrm{Adding}\right] \\ =1.29\left[\mathrm{Subtracting}\right] \end{gathered}$$