Question

Express the following as decimals.

$3\times 10+4\times 1+7\times \frac{1}{10}$

Answer 1

Given,$3\times 10+4\times 1+7\times \frac{1}{10}$

Now,

$$\begin{gathered} 3\times 10+4\times 1+7\times \frac{1}{10}=30+4+\frac{7}{10} \\ =34+\frac{7}{10} \\ =\frac{34\times 10}{1\times 10}+\frac{7}{10} \\ =\frac{340}{10}+\frac{7}{10} \\ =\frac{340+7}{10} \\ =\frac{347}{10} \\ =34.7 \end{gathered}$$

Or in another method

$$\begin{gathered} 3\times 10+4\times 1+7\times \frac{1}{10}=30+4+\frac{7}{10} \\ =30+4+0.7 \\ =34+0.7=34.7 \end{gathered}$$

Hence, the required decimal form is $34.7$