# 7.4 kg is how many grams?

Mar 5, 2016

$7400$ $g$

#### Explanation:

The conversion of $k g$ to $g$ involves understanding the metric prefix $k$ which stands for kilo, as in kilogram. Kilo as a prefix means 1000 of whatever it is in front of. In this case

$1$ $k g = 1000$ $g$

We can write this as a conversion factor

$\frac{1 k g}{1000 g}$ or $\frac{1000 g}{1 k g}$

Either one is true! Then we can use it to convert our quantity. We choose the version that cancels the unit that we are converting from and leaves the one that we want to go to:

$7.4 k g = 7.4 \textcolor{red}{\cancel{\textcolor{b l a c k}{k g}}} \cdot \frac{1000 g}{1 \textcolor{red}{\cancel{\textcolor{b l a c k}{k g}}}} = 7.4 \cdot 1000 g = 7400 g$

Other metric prefixes have different powers of 10 and can be converted in exactly the same way by creating a conversion factor. The following table gives you the factors that you need