Question

The height of a person is $1.75m$. Express it in cm and mm.

Answer 1

Hint: Here we need to convert units of the given height of a person in cm and mm. For that, we will first use the conversion of one meter in centimeters to get the height of a person in centimeters. Similarly, we will first consider the value of one meter in millimeters and then we will use this value to get the height of a person in millimeters.

Complete step-by-step answer:
Here we need to convert units of the given height of a person in cm and mm.
The height of a person is equal to $1.75m$.
We know that one meter is equal to 100 centimeters. Mathematically,
\[1m = 100cm\]
So to convert $1.75m$ in centimeters, we will multiply it with 100.
Therefore, we get
Height of a person \[ = 1.75 \times 100 = 175cm\]
We also know that one meter is equal to a thousand millimeters. Mathematically,
\[1m = 1000mm\]
So to convert $1.75m$ in millimeters, we will multiply it with 1000.
Therefore, we get
Height of a person \[ = 1.75 \times 1000 = 1750mm\]
Hence, the height of a person in centimeter is equal to \[175cm\] and height of a person in centimeter is equal to \[1750mm\].

Note: Here, we have expressed the height in both cm and mm, so we can make a mistake by converting it into the only cm. We know that centimeter, millimeter, and meter are the units of length. Meter is the SI unit of length, whereas centimetre is the CGS unit of length. We can also convert centimetre into millimeter by multiplying it by 100.