Question

What is 150 mm expressed in decimetres?

Answer 1

Hint: Here we will see how to convert the given 150 millimetres to decimetres. Before we will know what is millimetre and what is decimetre and then how to convert it into each unit, finally we conclude the required answer.

Complete step by step solution:
Millimetre(mm) and decimetre(dm):
\[\begin{align}
  & 1dm=100mm \\
 & 1mm=0.01dm=\dfrac{1}{100}dm \\
\end{align}\]
Both millimetre and decimetre are derived from the meter, a measurement of distance used in the metric system. Millimetres and decimetres are separated by one hundred places, which means that there are 100 millimetres for every decimetre.
A millimetre is a small unit length/distance(displacement) in the metric system. Millimetres are used to measure very small but visible scale distances and lengths. It is abbreviated as mm and sometimes spelled as millimeter.
Decimetre/ decimeter is the unit of measurement in the metric system that is equal to one-tenth of a meter. The symbol of decimetre is Dm in maths. The word Deci means one-tenth.
Conversion of decimetre to other units
1 decimetre (1 dm) = 100 millimetre
1 decimetre (1 dm) = 10 centimetre
1 decimetre (1 dm) = 0.1 metre
1 decimetre (1 dm) = 0.01 decametre
1 decimetre (1 dm) = 0.001 hectometre
1 decimetre (1 dm) = 0.0001 kilometre
We need to convert the length by changing its unit from millimetre to decimetre.
We find the relation between millimetre and decimetre 1mm being equal to 0.01 dm.
There are \[\dfrac{1000}{10}=100\]mm in each decimetre

Hence 150 mm is \[\dfrac{150}{100}=1.50\]decimetre.

Note:
The millimetre and centimetre are units of measurement for length in both the US customary units and the metric systems of measurement. This unit is used in the normal or common measurement units. It can also be changed to other measurement units using the metric system.