Question

Arrange the following in ascending order

$42.391,4.2391,34.2378,0.3423,42.38$

Answer 1

Given,$42.391,4.2391,34.2378,0.3423,42.38$

We have,

$42.391=\frac{42391}{1000},4.2391=\frac{42391}{10000},34.2378=\frac{342378}{10000},0.3423=\frac{3423}{10000},42.38=\frac{4238}{100}$

We have to make the denominators equal. Since

$LCM(1000,10000,10000,10000,100)=10000$

Therefore,

$\frac{42391}{1000}=\frac{42391\times 10}{1000\times 10}=\frac{423910}{10000}$

$\frac{42391}{10000}=\frac{42391\times 1}{10000\times 1}=\frac{42391}{10000}$

$\frac{342378}{10000}=\frac{342378\times 1}{10000\times 1}=\frac{342378}{10000}$

$\frac{3423}{10000}=\frac{3423\times 1}{10000\times 1}=\frac{3423}{10000}$

$\frac{4238}{100}=\frac{4238\times 100}{100\times 100}=\frac{423800}{10000}$

Now compare them

$$\begin{gathered} \frac{3423}{10000}<\frac{42391}{10000}<\frac{342378}{10000}<\frac{423800}{10000}<\frac{423910}{10000} \\ \Rightarrow 0.3423<4.2391<34.2378<42.38<42.391 \end{gathered}$$

Hence, the ascending orders are

$0.3423,4.2391,34.2378,42.38,42.391$