Question 1

How do you convert decimal to percent?

Accepted Answer

To convert a decimal to percent, multiply the decimal by 100 and add the percent symbol (%). For example, 0.25 × 100 = 25%. This works because percent means 'per hundred', so multiplying by 100 converts the decimal to its percentage equivalent.

Question 2

What is the formula for decimal to percent conversion?

Accepted Answer

The formula is: Percent = Decimal × 100. For example, to convert 0.75 to percent: 0.75 × 100 = 75%. To convert back from percent to decimal: Decimal = Percent ÷ 100. For example, 75% ÷ 100 = 0.75.

Question 3

How do you convert percent to decimal?

Accepted Answer

To convert percent to decimal, divide the percent by 100 and remove the percent symbol. For example, 25% ÷ 100 = 0.25. This is the reverse of the decimal to percent conversion.

Question 4

What are some common decimal to percent conversions?

Accepted Answer

Common conversions include: 0.5 = 50%, 0.25 = 25%, 0.75 = 75%, 0.1 = 10%, 0.2 = 20%, 0.33 = 33%, 0.5 = 50%, 0.8 = 80%, 0.9 = 90%, and 1.0 = 100%. These are frequently used in everyday calculations.

Question 5

How do you convert fractions to percentages?

Accepted Answer

To convert fractions to percentages: 1) Convert the fraction to a decimal by dividing the numerator by the denominator, 2) Multiply the decimal by 100, 3) Add the percent symbol. For example, 1/4 = 0.25 = 25%.

Question 6

What is the difference between decimal and percent?

Accepted Answer

A decimal is a number expressed in base 10, typically with a decimal point (e.g., 0.25). A percent is a ratio expressed as a fraction of 100 (e.g., 25%). Decimals are used in calculations, while percents are used for expressing proportions and comparisons.

Question 7

How do you convert decimals greater than 1 to percent?

Accepted Answer

The same formula applies: Percent = Decimal × 100. For example, 1.5 × 100 = 150%, 2.0 × 100 = 200%, and 0.5 × 100 = 50%. Decimals greater than 1 represent more than 100%.

Question 8

What are practical applications of decimal to percent conversion?

Accepted Answer

Practical applications include: calculating sales tax (0.08 = 8%), interest rates (0.05 = 5%), success rates (0.95 = 95%), grade calculations (0.85 = 85%), discount calculations, profit margins, and statistical analysis.

Question 9

How do you convert repeating decimals to percent?

Accepted Answer

For repeating decimals, use the same formula: Percent = Decimal × 100. For example, 0.333... × 100 = 33.33...%. You can round to a reasonable number of decimal places, such as 33.33% or 33.3% depending on the required precision.

Question 10

Can you convert negative decimals to percent?

Accepted Answer

Yes, the same formula applies to negative decimals. For example, -0.25 × 100 = -25%. Negative percentages represent decreases, losses, or values below a baseline. They're commonly used in financial analysis and statistical calculations.

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