Question

Convert 1 metre(m) 4 decimetre(dm) into metre(m).

Answer 1

Hint- Here, we will be using the formula that 1 metre = 10 decimetre in order to convert the unit decimetre in terms of the unit metre.

According to the problem, we have to convert 1 m 4 dm in m where m represents unit metre and dm represents unit decimetre.
As we know that 1 metre = 10 decimetre i.e., 1 m = 10 dm
$\Rightarrow {\displaystyle \frac{1}{10}}$ m = 1 dm
$\Rightarrow$1 dm = $${\displaystyle \frac{1}{10}}$$m
$\Rightarrow$4 dm = ${\displaystyle \frac{4}{10}}$m
1 m 4 dm = 1 m + 4 dm = 1 m + ${\displaystyle \frac{4}{10}}$m = $1+{\displaystyle \frac{4}{10}}$m = ${\displaystyle \frac{10+4}{10}}={\displaystyle \frac{14}{10}}=1.4$ m
So, 1 m 4 dm = 1.4 m i.e., 1 metre 4 decimetre = 1.4 metre.

Note- If instead of converting 1 metre 4 decimetre in terms of metres, we are asked to convert 1 metre 4 decimetre in terms of decimetre, we will use the formula 1 metre = 10 decimetre directly. So, 1 metre 4 decimetre = (10+4) decimetre = 14 decimetre i.e., 1 m 4 dm = 14 dm.