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Chapter 7: Problem 109

Is the number 0.052 less than or greater than \(50 \% ?\)

Short Answer

Expert verified
0.052 is less than 50%.

Step by step solution

01

Convert percentage to decimal

To compare the number 0.052 with 50%, convert 50% to a decimal. This is done by dividing 50 by 100. So, 50% as a decimal is 0.50.
02

Compare the numbers

Now, compare the decimal number 0.052 with 0.50. Notice that 0.052 has a '5' in the thousandths place while 0.50 has a '5' in the tenths place.
03

Draw the conclusion

Since 0.052 is far less than 0.50, we can conclude that 0.052 is less than 50%.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Percentage Conversion
To compare a percentage with a decimal, you first need to convert the percentage to a decimal form. This is done by dividing the percentage by 100.
For example, if you have 50%, you divide 50 by 100:
\[ 50 \, \text{\textpercent} = \frac{50}{100} = 0.50 \]
Now, 50% is converted to 0.50, which is much easier to work with when comparing to other decimals.
Decimal Places
Decimal places indicate the position of a number after the decimal point. The first digit after the decimal is in the tenths place, the second in the hundredths place, and so on.
For example, in the number 0.052:
- The 0 is in the tenths place
- The 5 is in the hundredths place
- The 2 is in the thousandths place
When comparing decimals, it's crucial to look at each place value from left to right until you find a difference.
Mathematical Comparison
When comparing two numbers, look at the decimal places to determine which number is greater or smaller. In the example of comparing 0.052 to 0.50, start with the tenths place:
- 0.052 has 0 in the tenths place
- 0.50 has 5 in the tenths place
Since 0 (from 0.052) is less than 5 (from 0.50), you can conclude that 0.052 is less than 0.50.
Always compare the highest place value first, moving right. This method works for any numbers, making it easier to determine their relationship.

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Most popular questions from this chapter

Convert the fraction to a percent. $$\frac{5}{12}$$

Write the fraction in percent notation to the nearest tenth of a percent. $$\frac{1}{13}$$

Explain the difference between \(\frac{3}{4}\) and \(\frac{3}{4} \%\)

Solve the problem using a percent equation. What percent of 25 is \(18 ?\)

Write the percent equation. Then solve for the unknown percent. Round to the nearest tenth of a percent if necessary. Of the 8079 Americans serving in the Peace Corps for a recent year, 406 were over 50 years old. What percent is this? Round to the nearest whole percent.
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