Question

How do you convert 1750 g to kg?

Answer 1

Hint: The gram and kilogram are units of measurement of mass. They are used in daily life for various purposes. Both of them can be used to calculate the mass depending on the purpose. We can also convert one unit of measurement to another unit of measurement according to our convenience.

Complete step by step solution:
We know that both gram and kilogram are units of measurement of mass. We know the conversion formula from meter to foot as 1-gram equals 0.001 kg. We will use this relation to convert the given mass in gram to mass in kg.
Given length is 1750 g, as 1-foot equals 0.001 kg. To convert the given mass in kg, we have to multiply it by the 0.001, as follow
$$\begin{array}{rl}& \Rightarrow 1750g=1750\times 0.001kg\\ & \Rightarrow 1750g=1.750kg\end{array}$$
Hence, 1750 g equals 1.75 kg.

Note: We can also find the conversion formula for kg to gram using the above relationship. As follows,
We know that 1-gram equals 0.001 kg hence, $$1g=0.001kg$$. We want the conversion formula for kg to gram, hence we have to make the 1-kg on one side of the above relation. Dividing both sides of the above conversion formula by 0.001, we get
$$\Rightarrow {\displaystyle \frac{\text{1g}}{\text{0}\text{.001}}}\text{=}{\displaystyle \frac{\text{0}\text{.001kg}}{\text{0}\text{.001}}}$$
As units do not take part in the division of constants, the above equation can also be written as,
$$\Rightarrow {\displaystyle \frac{\text{1}}{\text{0}\text{.001}}}\text{g=}{\displaystyle \frac{\text{0}\text{.001}}{\text{0}\text{.001}}}kg$$
$$\Rightarrow 1000\text{g=1}kg$$
Flipping the sides of the above conversion formula, we get
$$\Rightarrow \text{1}kg=1000\text{g}$$
Thus, we get the conversion formula for kg to gram