Question

Simplify: $1.4-1.28+6.3\mathrm{of}19.2$

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,

$1.4-1.28+6.3\mathrm{of}19.2$

$$\begin{gathered} =1.4-1.28+120.96[\mathrm{Simplifying}\text{'}\mathrm{Of}\text{'}] \\ =1.4+120.96-1.28\left[\mathrm{Rearranging}\right] \\ =122.36-1.28\left[\mathrm{Adding}\right] \\ =121.08\left[\mathrm{Subtracting}\right] \end{gathered}$$

Hence, on simplifying $1.4-1.28+6.3\mathrm{of}19.2$ we get $121.08$.