Question

Express 35 cm in m and km.

Answer 1

Hint- Here, we will be using the formulas which are 1 centimeter = ${\displaystyle \frac{1}{100}}$ meter and 1 centimeter = ${\displaystyle \frac{1}{100000}}$ kilometer for the required unit conversion. Here, the given number is in centimeter units which needs to be converted into an equivalent number having units as meter and kilometer.

Complete step-by-step answer:
Here, we have to express the given number 35 cm (where cm stands for centimeter unit) in terms of unit m (where m stands for meter) and km (where km stands for kilometer).
As we know that 100 centimeter = 1 meter
$\Rightarrow$1 centimeter = ${\displaystyle \frac{1}{100}}$ meter
 $\Rightarrow$35 centimeter = $35\times \left({\displaystyle \frac{1}{100}}\right)={\displaystyle \frac{35}{100}}=0.35$ meter
i.e., 35 cm = 0.35 m
So, 35 cm can be expressed in the unit m as 0.35 m
Also we know that 1 kilometer = 1000 meter
$\Rightarrow$1 meter = ${\displaystyle \frac{1}{1000}}$ kilometer
$\Rightarrow$1 centimeter = ${\displaystyle \frac{1}{100}}$ meter = ${\displaystyle \frac{1}{100}}\times {\displaystyle \frac{1}{1000}}={\displaystyle \frac{1}{100000}}$ kilometer

 $\Rightarrow$35 centimeter = $35\times \left({\displaystyle \frac{1}{100000}}\right)={\displaystyle \frac{35}{100000}}=0.00035$ kilometer
i.e., 35 cm = 0.00035 km
So, 35 cm can be expressed in the unit km as 0.00035 km

Note- In this particular problem, if instead of 35 cm we are given with 35 m and we have to express this number in unit cm and km. For this we will use the formulas 1 m = 100 cm and 1 m = ${\displaystyle \frac{1}{1000}}$ km which will give us the required expressions i.e., 35 m = 3500 cm and 35 m = ${\displaystyle \frac{35}{1000}}=0.035$ km.