Question

To convert 0.82 to a rational number what do you multiply it by

Answer 1

To convert the decimal 0.82 to a rational number, you can express it as a fraction. A decimal can generally be converted into a fraction by using powers of 10 based on its place value.

For 0.82:
1. There are two digits after the decimal point, so you can multiply the decimal by 100 to eliminate the decimal point.

\[
0.82 \times 100 = 82
\]

2. Since you multiplied by 100, you also put 100 in the denominator:

\[
0.82 = \frac{82}{100}
\]

3. You can simplify this fraction further. Both 82 and 100 can be divided by 2:

\[
\frac{82 \div 2}{100 \div 2} = \frac{41}{50}
\]

Thus, the rational number equivalent of 0.82 is \(\frac{41}{50}\).

In terms of what you multiply by, to convert 0.82 to a rational number, you multiply it by 100.