Write 0.056 as a percentage
The Correct Answer and Explanation is:
To convert the decimal 0.056 into a percentage, follow these steps:
- Multiply by 100:
( 0.056 \times 100 = 5.6 ) - Add the percent sign:
( 0.056 ) as a percentage is 5.6%.
Explanation:
Converting decimals to percentages is a common mathematical process that involves multiplying the decimal by 100. The decimal point shifts two places to the right. This transformation is based on the relationship between decimals and percentages: a percentage is essentially a fraction of 100.
For example, when we see a decimal like 0.056, it is the same as saying 0.056 parts of 1. To express it as a percentage, we ask, “What fraction of 100 is this?” To answer, we multiply the decimal by 100, which shifts the decimal two places to the right, converting it into a percentage.
- Decimal (0.1) becomes (10%),
- Decimal (0.01) becomes (1%),
- Decimal (0.056) becomes (5.6%).
Understanding this helps in various real-life applications, such as calculating discounts, interest rates, or interpreting statistical data.
Why multiply by 100?
A percentage represents a part per hundred. The word “percent” comes from the Latin “per centum,” meaning “by the hundred.” Multiplying a number by 100 expresses how many parts out of 100 that number represents. For instance, a decimal like 0.056 means 56 thousandths (56 parts out of 1,000), but we often want to express values relative to 100, which is why multiplying by 100 provides the answer in percentage form.
Thus, converting 0.056 to a percentage gives you 5.6%, meaning 0.056 is equivalent to 5.6 parts out of 100.