Math: Fractions, Decimals, and Percentages
5 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

A store offers a 25% discount on a product originally priced at $80. After the discount, a 8% sales tax is applied. What is the final price a customer pays for the product?

  • $65.00
  • $64.80 (correct)
  • $66.00
  • $65.50

An item's price increased from $25 to $30. What is the percentage increase in the item's price?

  • 15%
  • 16.7%
  • 20% (correct)
  • 25%

If a retailer sells a product for $75 after applying a 20% discount, what was the original price of the product before the discount?

  • $93.75 (correct)
  • $90
  • $60
  • $85

What is 9/25 expressed as a decimal?

<p>0.36 (D)</p> Signup and view all the answers

If a company's revenue decreased from $500,000 to $425,000, what is the percentage decrease in revenue?

<p>15% (B)</p> Signup and view all the answers

Flashcards

Fraction to Decimal

Divide the numerator by the denominator.

Percentage to Fraction

Express the percentage as a fraction over 100, then simplify.

Percentage Increase

Multiply the original value by (1 + percentage increase as a decimal).

Percentage Decrease

Multiply the original value by (1 - percentage decrease as a decimal)

Signup and view all the flashcards

Percentage Change Formula

[(New Value - Original Value) / Original Value] x 100

Signup and view all the flashcards

Study Notes

  • Math Formulas

Fractions and Decimals

  • Convert fractions to decimals by dividing the numerator by the denominator
  • Convert decimals to percentages by multiplying by one hundred (%)
  • Percentages are converted into fractions over one hundred, then simplify

Percentages

  • To find 80% of 368, multiply 368 by 0.8, which equals 294.4

Percentage Increase

  • As an example, to increase 125 by 20%, first calculate 100% + 20% = 120% = 1.2
  • Then multiply 125 by 1.2, which equals 150
  • You can also find the increase amount and then add to the original amount

Percentage Decrease

  • As an example, to decrease 190 by 45%, first calculate 100% - 45% = 55% = 0.55
  • Then multiply 190 by 0.55, which equals 104.50
  • You can also find the decrease amount and then subtract from the original amount

Percentage Change

  • The formula for percentage change is the (amount of change / original amount) * 100
  • As an example, if the original = 11andthenew=11 and the new = 11andthenew=15, then 15-11=4
  • Divide 4/11 = 0.364
  • Multiple 0.364 * 100 = 36.4%

Reverse Percentages

  • If X - 20% = 24.5, then 100% - 20% = 80% or 0.8
  • Divide 24.5 / 0.8 = 30.625

Studying That Suits You

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

Quiz Team

Description

Learn how to perform conversions between fractions, decimals, and percentages. Explore how to calculate percentage increases and decreases. Understand the formula for calculating percentage change with practical examples.

Use Quizgecko on...
Browser
Browser