Write each decimal as a percent and each percent as a decimal.
3.3%
The Correct Answer and Explanation is :
Converting Decimal to Percent
To convert a decimal to a percentage, we follow this basic rule:
Multiply the decimal by 100 and then add the percentage symbol (%).
For example:
- 0.033 (decimal) → 0.033 × 100 = 3.3%
Converting Percent to Decimal
To convert a percentage to a decimal, you divide the percentage by 100 (or simply move the decimal point two places to the left).
For example:
- 3.3% → 3.3 ÷ 100 = 0.033
Explanation
Decimal to Percent Conversion
Decimals represent numbers less than one, and percentages are just a different way to express those numbers, specifically as parts of 100. The process of converting a decimal to a percentage involves scaling the decimal up by a factor of 100. This allows us to express how many “hundredths” the decimal represents. For example, if you have 0.033, this means that you have 33 thousandths of a whole, and when you scale this up by 100 (i.e., multiplying by 100), you get 3.3%, indicating that it is 3.3 parts per 100.
Percent to Decimal Conversion
On the other hand, converting a percentage to a decimal involves reducing the percentage by a factor of 100. This makes sense because the word “percent” literally means “per hundred,” so when you have 3.3%, you are referring to 3.3 parts out of 100. Dividing 3.3 by 100 moves the decimal point two places to the left, leaving you with 0.033. This represents the same value, but now it’s in a form where it’s easier to work with in mathematical operations involving decimals (such as in algebra or finance).
Understanding these conversions is essential because percentages and decimals are used in different contexts, but both represent the same concept of a part-to-whole relationship. In real-life applications, you may encounter percentages in situations like calculating discounts, interest rates, or test scores, while decimals are often used in financial calculations, measurements, and scientific data.