Question

Convert 328mm 45cm into Meters.

Answer 1

Hint: Convert the units of millimetre into meters and centimetre into metres by using the relations as $1\;{\text{mm}} = \dfrac{1}{{1000}}\;{\text{cm}}$ and $1\;{\text{cm}} = \dfrac{1}{{100}}\;{\text{m}}$. Use the fundamental unit of length and simplify it to get the answer.

Complete step by step answer:
Measurement is defined as the number that shows the size and amount of something. Various kinds of measurements used in our daily life such as time, distance, temperature, area, volume, etc. It plays an important role in our daily life such as a sports-competition, building a house, controlling temperature, etc.
The three measures are descriptive, diagnostic and predictive. Among these three Descriptive is the most basic unit of measurement. Usually, the number is expressed in standardized units such as metres, centimetres, millimetres, etc. A metric unit of length equal to one-hundredth of a metre. It is smaller than the metre.
A metric unit of length equal to one-thousandth of a metre. It is the smallest unit to measure length.
To convert $328\;{\text{mm}}\;45\;{\text{cm}}$ into metres, apply the formula given above. Initially convert $328\;{\text{mm}}\;$ into metres.
$1\;{\text{mm}} = \dfrac{1}{{1000}}\;{\text{m}}$
$\Rightarrow 328\;{\text{mm}} = \dfrac{{328}}{{1000}}\;{\text{m}}$
Count the three digit and put a dot from the right side,
$\Rightarrow 328\;{\text{mm}} = {\text{0}}{\text{.328}}\;{\text{m}}$ ……………...….. (1)
Now we convert $45\;{\text{cm}}$ into metres.
$\Rightarrow 1\;{\text{cm}} = \dfrac{1}{{100}}\;{\text{m}}$
$\Rightarrow 45\;{\text{cm}} = \dfrac{{45}}{{100}}\;{\text{m}}$
Count the two digit and put a point from the right side,
$\Rightarrow 45\;{\text{cm}} = 0.45\;{\text{m}}$ …………………...……(2)
Now add both equation (1) and (2) to convert $328\;{\text{mm}}\;45\;{\text{cm}}$ into metres.
$\Rightarrow 328\;{\text{mm}}\;45\;{\text{cm}} = 0.328 + 0.45$
$\Rightarrow 328\;{\text{mm}}\;45\;{\text{cm}} = 0.778\;{\text{m}}$

Therefore, $328\;{\text{mm}}\;45\;{\text{cm}}$ in meters is $0.778\;{\text{m}}$.

Note:
To convert the smaller unit to bigger, always divide it by hundredths or thousandths separately and then add both of them to convert the whole quantity. There are four basic measurements such as mass, distance, volume and area. The SI unit of length is metre.