Question
Express 200g/1kg as a decimal
Answers
GPT-4o mini
To express \( \frac{200 \text{ g}}{1 \text{ kg}} \) as a decimal, first convert kilograms to grams since 1 kg is equal to 1000 g.
So, \( 1 \text{ kg} = 1000 \text{ g} \).
Now, the fraction becomes:
\[
\frac{200 \text{ g}}{1000 \text{ g}} = \frac{200}{1000}
\]
This simplifies to:
\[
\frac{200 \div 200}{1000 \div 200} = \frac{1}{5}
\]
To express \( \frac{1}{5} \) as a decimal, divide 1 by 5:
\[
1 \div 5 = 0.2
\]
Therefore, \( \frac{200 \text{ g}}{1 \text{ kg}} \) as a decimal is \( 0.2 \).
So, \( 1 \text{ kg} = 1000 \text{ g} \).
Now, the fraction becomes:
\[
\frac{200 \text{ g}}{1000 \text{ g}} = \frac{200}{1000}
\]
This simplifies to:
\[
\frac{200 \div 200}{1000 \div 200} = \frac{1}{5}
\]
To express \( \frac{1}{5} \) as a decimal, divide 1 by 5:
\[
1 \div 5 = 0.2
\]
Therefore, \( \frac{200 \text{ g}}{1 \text{ kg}} \) as a decimal is \( 0.2 \).