The population of Gilbert increased 275%. Which of the following are equivalent to 275%?
257
27 1\2
The Correct Answer and Explanation is:
To understand how to convert the percentage of 275% into a numerical equivalent, let’s break it down step by step.
Step 1: Understand the meaning of percentage.
A percentage represents a ratio out of 100. So, when we talk about 275%, this means 275 per 100, or 275/100.
Step 2: Convert the percentage into a decimal.
To convert 275% into a decimal, divide the percentage by 100:
[
275 \div 100 = 2.75
]
This tells us that 275% is equivalent to 2.75.
Step 3: Check if 275% is equivalent to 257 or 27 1/2.
Now, let’s examine the two choices you’ve provided:
- 257: This is a whole number, much larger than 2.75. Clearly, this is not equivalent to 275% because 257 is much higher.
- 27 1/2: This is a mixed number, which is equal to:
[
27 \frac{1}{2} = 27 + \frac{1}{2} = 27.5
]
This is also much larger than 2.75, so 27 1/2 is not equivalent to 275% either.
Step 4: Conclusion.
Since 275% is equivalent to 2.75, neither 257 nor 27 1/2 is a correct answer for the equivalent of 275%. The correct representation of 275% in decimal form is 2.75, and these options are not valid choices for the correct answer.
Thus, based on the analysis above, neither 257 nor 27 1/2 are equivalent to 275%.