Working with Percentages

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

Percentages are fractions out of what number?

  • 1
  • 100 (correct)
  • 1,000
  • 10

What is $\frac{8}{10}$ as a percentage?

  • 8%
  • 0.8%
  • 80% (correct)
  • 800%

A birdcage contains 8 canaries and 13 parakeets. What percentage of the birds are canaries, rounded to the nearest whole number?

  • 38% (correct)
  • 62%
  • 58%
  • 8%

Jake bought a mobile phone at 25% off the original price of $380. How much did Jake pay?

<p>$285 (B)</p> Signup and view all the answers

Percentages are fractions with a denominator of what number?

<p>100 (B)</p> Signup and view all the answers

To convert a fraction to a percentage, you multiply by what number?

<p>100 (A)</p> Signup and view all the answers

What does the word 'of' typically mean in mathematics when finding a percentage of a quantity?

<p>Multiplication (D)</p> Signup and view all the answers

To convert a percentage to a decimal, you should perform what operation?

<p>Divide by 100 (A)</p> Signup and view all the answers

What is 37% expressed as a simplified fraction?

<p>$\frac{37}{100}$ (D)</p> Signup and view all the answers

Express $\frac{36}{90}$ as a percentage.

<p>40% (D)</p> Signup and view all the answers

In a class of 25 students, there are 18 girls. What percentage of the class are girls?

<p>72% (D)</p> Signup and view all the answers

To increase a value by a percentage, you add the percentage increase to what number?

<p>100% (D)</p> Signup and view all the answers

To convert a decimal to a percentage, you should perform what operation?

<p>Multiply by 100 (D)</p> Signup and view all the answers

If the original price of an item is $95, what would the sale price be if there is a discount of 15%?

<p>$80.75 (B)</p> Signup and view all the answers

What is 32% of 45?

<p>14.4 (A)</p> Signup and view all the answers

To decrease a value by a percentage, you should multiply the value by 100% minus the percentage decrease. True or false?

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

What percentage of 2 hours is 20 minutes?

<p>16.67% (D)</p> Signup and view all the answers

Flashcards

What are Percentages?

Fractions based on 100, commonly used in daily life

Converting to a Percentage

Multiply by 100 to convert fraction/decimal to a percentage

Meaning of 'of' in Mathematics

The word 'of' in math often indicates multiplication.

Calculating Percentage Increase

Add the percentage increase to 100%, then multiply by the original amount.

Signup and view all the flashcards

Calculating Percentage Decrease

Subtract the percentage decrease from 100%, then multiply by the original amount.

Signup and view all the flashcards

Study Notes

  • Percentages are fractions out of 100, used in everyday life.
  • Percentages are fractions with a denominator of 100.

Converting fractions to percentages

  • To convert a fraction or decimal to a percentage, multiply by 100.
  • To convert a percentage to a decimal or fraction, divide by 100.

Finding a percentage of a quantity

  • The word "of" in mathematics means multiply.

Expressing a quantity as a percentage of another

  • Write the first amount as a fraction over the second when expressing a quantity as a percentage of another.
  • When units are not the same, convert them before calculating the percentage.

Percentage change

  • Percentage change involves either increasing or decreasing a quantity as a percentage of the original amount.
  • Percentage Increase Calculation:
  • Add the percentage increase to 100%.
  • Multiply the result by the original amount.
  • Percentage Decrease Calculation:
  • Subtract the percentage decrease from 100%.
  • Multiply the result by the original amount.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

Use Quizgecko on...
Browser
Browser