Question

Arrange the following numbers in ascending order.

$3.57,0.357,3.057,3.571,0.0357$

Answer 1

Given,$3.57,0.357,3.057,3.571,0.0357$

We have,

$3.57=\frac{357}{100},0.357=\frac{357}{1000},3.057=\frac{3057}{1000},3.571=\frac{3571}{1000},0.0357=\frac{357}{10000}$

We have to make the denominators equal. Since

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

Therefore,

$\frac{357}{100}=\frac{357\times 100}{100\times 100}=\frac{35700}{10000}$

$\frac{357}{1000}=\frac{357\times 10}{1000\times 10}=\frac{3570}{10000}$

$\frac{3057}{1000}=\frac{3057\times 10}{1000\times 10}=\frac{30570}{10000}$

$\frac{3571}{1000}=\frac{3571\times 10}{1000\times 10}=\frac{35710}{10000}$

$\frac{357}{10000}=\frac{357\times 1}{10000\times 1}=\frac{357}{10000}$

Now compare them

$$\begin{gathered} \frac{357}{10000}<\frac{3570}{10000}<\frac{30570}{10000}<\frac{35700}{10000}<\frac{35710}{10000} \\ \Rightarrow 0.0357<0.357<3.057<3.57<3.571 \end{gathered}$$

Hence, the ascending orders are

$0.0357,0.357,3.057,3.57,3.571$