Complete the following equation using $<,>$, or $=$.
57% ___ 1
A) <
B. >
C. =
Answer (2)
Convert 57% to a decimal: 57% = 0.57
Compare 0.57 to 1.
Since 0.57 is less than 1, we have 57% < 1
The answer is <.
Explanation
Understanding the Problem We are asked to compare 57% to 1 and determine if it is less than, greater than, or equal to.
Converting Percentage to Decimal To compare 57% to 1, we first need to convert the percentage to a decimal. We can do this by dividing 57 by 100: 57% = 100 57 = 0.57
Comparing Decimal to 1 Now, we compare the decimal 0.57 to 1. Since 0.57 is less than 1, we can conclude that 57% is less than 1.
Final Answer Therefore, the equation should be completed with the "<" symbol: 57% < 1
Examples
In everyday life, percentages are often used to represent proportions or fractions of a whole. For example, if a store offers a 57% discount on an item, it means the item's price is reduced by 57/100 of its original price. Comparing this discount to the full price (100%) helps you quickly understand how much you're saving. In this case, since 57% is less than 100%, you know you're paying more than half the original price.
When comparing 57% to 1, converting 57% to decimal form results in 0.57, which is less than 1. Thus, the correct symbol to complete the equation is <. The answer is 57% < 1.
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