Exercise 5 Page P3

Let's start by copying the given statement.

180 g = 0.18 kg

Converting between grams (g) and kilograms (kg) will involve using a conversion factor.

\frac{1 kg}{1 0 0 0 g}

Multiplying

180 g

by this conversion factor will convert it to kilograms.

180 g \cdot \frac{1 kg}{1 0 0 0 g}

$a \cdot \frac{b}{c} = \frac{a \cdot b}{c}$

\frac{1 8 0 g \cdot 1 kg}{1 0 0 0 g}

Cross out common factors

\frac{1 8 0 g \cdot 1 kg}{1 0 0 0 g}

Simplify quotient

\frac{1 8 0 \cdot 1 kg}{1 0 0 0}

Identity Property of Multiplication

\frac{1 8 0 kg}{1 0 0 0}

$\frac{a \cdot b}{c} = \frac{a}{c} \cdot b$

\frac{1 8 0}{1 0 0 0} kg

Write as a decimal

0.18 kg

To complete the given statement, we will substitute

0.18

into the blank space.

180 g = 0.18 kg