Question

Simplify: $(40.67\times 0.23)+(31.21\times 0.25)÷0.5\times 0.083$

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,

$(40.67\times 0.23)+(31.21\times 0.25)÷0.5\times 0.083$

$$\begin{gathered} =9.3541+7.8025÷0.5\times 0.083[\mathrm{Solving}\mathrm{small}\mathrm{brackets}] \\ =9.3541+14.05\times 0.083\left[\mathrm{Dividing}\right] \\ =9.3541+1.16615\left[\mathrm{Multiplying}\right] \\ =10.52025\left[\mathrm{Adding}\right] \end{gathered}$$

Hence, on simplifying $(40.67\times 0.23)+(31.21\times 0.25)÷0.5\times 0.083$ we get $10.52025$.