Question

Evaluate: $4.6\mathrm{of}1.2+\{6.3-(2.4\times 1.9\times 1.9)÷12\}$

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. Here in the expression, ‘Of’ is considered as multiplication but is operated before division or multiplication.

We have, $4.6\mathrm{of}1.2+\{6.3-(2.4\times 1.9\times 1.9)÷12\}$

$$\begin{gathered} =4.6\mathrm{of}1.2+\{6.3-8.664÷12\}[Simplifyingsmallbrackets] \\ =4.6\mathrm{of}1.2+\{6.3-0.722\}\left[Dividing\right] \\ =4.6\mathrm{of}1.2+5.578[Simplifyingcurlybrackets] \\ =5.52+5.578[Simplifying\text{'}Of\text{'}] \\ =11.098\left[Adding\right] \end{gathered}$$

On simplifying $4.6\mathrm{of}1.2+\{6.3-(2.4\times 1.9\times 1.9)÷12\}$, we get $11.098$.