Converting Percentages to Decimals

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Questions and Answers

What is 20 is what % of 45?

  • 55.5%
  • 40%
  • 35.2%
  • 44.4% (correct)

80% of 5 is equal to 4.

True (A)

Convert 1/4 to a percentage.

25%

The formula for finding a percentage is (is) / (of) = Part / Whole = Percent / ____.

<p>100</p> Signup and view all the answers

Match the following examples with their results:

<p>150 is what % of 100? = 150% 9/100 to a % = 9% 1/2 to a % = 50% 80% of 5 = 4</p> Signup and view all the answers

What is the first step in converting a percentage to a decimal?

<p>Remove the % sign (D)</p> Signup and view all the answers

You should always keep two zeros after moving the decimal point when converting to a decimal.

<p>False (B)</p> Signup and view all the answers

Convert 75% to a decimal.

<p>0.75</p> Signup and view all the answers

To convert 45% to a decimal, you remove the % sign and then move the decimal point two places to the ______.

<p>left</p> Signup and view all the answers

Match the following percentages with their corresponding decimal forms:

<p>10% = 0.10 200% = 2.00 1.5% = 0.015 99.99% = 0.9999</p> Signup and view all the answers

Flashcards

Percentage Formula via Proportion

A way to find a percentage using a proportion, relating the part to the whole and the percentage to 100.

Percentage Formula via Decimal

Finding a percentage by converting it into a decimal and multiplying it by the number you want to find the percentage of.

What is a percentage?

A percentage is a fraction out of 100, meaning it represents a part of a whole.

Converting a fraction to a percentage

Converting a fraction to a percentage involves dividing the numerator by the denominator and multiplying by 100.

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Converting a decimal to a percentage

To convert a decimal to a percentage, multiply the decimal by 100.

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Converting Percentages to Decimals

To change a percentage to a decimal, you remove the percent sign, add a decimal after the last digit, and move it two places to the left.

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Decimal Point Movement

When converting a percentage, the decimal point moves two places to the left.

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Decimal Placement in Whole Percentages

If the percentage is a whole number, put the decimal after the last digit.

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Adding Zeros in Decimal Conversion

Add zeros in the front to keep the decimal place correct.

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Trailing Zeros in Decimal Conversion

Any trailing zeros after the decimal point can be removed without affecting the value.

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Study Notes

Converting Percentages to Decimals

  • To convert a percentage to a decimal, remove the percent sign (%) and divide by 100.
  • Move the decimal point two places to the left.
  • Examples:
    • 3.25% = 0.0325
    • 125.60% = 1.256

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