Compare each pair of numbers using the symbol = (equals), < (less than), or > (greater than).
$0.08 \bigcirc \frac{8}{100}
Answer (2)
0.08 = 100 8
Explanation
Problem Analysis We need to compare 0.08 and 100 8 . To do this, we can convert the fraction to a decimal and then compare the two decimal numbers.
Converting Fraction to Decimal Let's convert the fraction 100 8 to a decimal. 100 8 means 8 divided by 100, which equals 0.08 .
Comparing the Numbers Now we compare the two numbers: 0.08 and 0.08 . Since they are the same, we use the equals symbol (=).
Final Answer Therefore, 0.08 = 100 8 .
Examples
In everyday life, understanding decimal and fraction equivalencies is useful when dealing with percentages, discounts, and proportions. For example, if a store offers an 8% discount on an item, it's the same as offering a 100 8 discount or a 0.08 discount rate. Recognizing these equivalencies helps you quickly calculate the actual savings.
When comparing 0.08 and 100 8 , both values are equal to 0.08 . Therefore, we can conclude that 0.08 = 100 8 .
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