To convert 0.82 to a rational number, you should follow these steps:
1. Recognize that 0.82 has two decimal places.
2. To remove the decimal places, you need to multiply both sides of the equation by a power of 10 that matches the number of decimal places. Since there are 2 decimal places, you would multiply by [tex]\( 10^2 \)[/tex], which is 100.
So, to convert 0.82 to a rational number, you should multiply both sides of the equation by 100.
When you do this, the calculation would be:
[tex]\[ 0.82 \times 100 = 82 \][/tex]
Thus, the rational form of 0.82 can be written as the fraction [tex]\(\frac{82}{100}\)[/tex]. Simplifying this fraction would give you [tex]\(\frac{41}{50}\)[/tex], but the key step is to multiply by 100 to remove the decimal.
