1.1.1 Use of integers, fractions, decimals, and percentages

• What are decimals?

  Numbers expressed with a decimal point
• What do fractions represent?

  Parts of a whole
• What fraction represents 50% of the whole?

  1/2
• How do decimals express numbers?

  By using a decimal point beyond whole numbers
• How do you convert a fraction to a decimal?

  By dividing the numerator by the denominator
• How are integers, fractions, decimals, and percentages related?

  They can be converted between each other
• What are the decimal and percentage equivalents for common fractions less than 1?

  • 1/2 = 0.5 = 50%
  • 1/4 = 0.25 = 25%
  • 1/8 = 0.125 = 12.5%
  • 1/10 = 0.1 = 10%
  • 1/100 = 0.01 = 1%
• What is the first step to convert fractions to decimals?

  Divide the numerator by the denominator
• How do you express $0.25$ as a percent?


  Multiply by 100 to get 25%
• What fraction represents the whole?

  1
• What are the decimal and percentage equivalents for common fractions greater than 1?

  • 2 = 2.0 = 200%
  • 3 = 3.0 = 300%
  • 4 = 4.0 = 400%
• What do integers, fractions, decimals, and percentages represent?

  • Different forms of numbers:
  • Integers: whole numbers
  • Fractions: parts of a whole
  • Decimals: numbers with decimal points
  • Percentages: parts per hundred
• What are the decimal and percentage equivalents for common fractions?

  • 1 = 1.0 = 100%
  • 1/2 = 0.5 = 50%
  • 1/3 = 0.33 = 33.3%
  • 1/4 = 0.25 = 25%
• How are fractions and decimals related to integers?

  They relate to whole and partial numbers
• Why is it important to understand the relationships between integers, fractions, decimals, and percentages?

  • Helps in switching between formats
  • Aids in solving problems efficiently
• What are integers?

  Whole numbers including zero and negatives
• What is the relationship between fractions, decimals, and percentages?

  • Fractions can be converted to decimals by division.
  • Decimals can be converted to percentages by multiplication.
  • Example: $\frac{1}{4} =$$0.25 =$$25\%$
• What do fractions allow you to do in mathematics?

  Represent parts of a whole or divide quantities
• How does converting between integers, fractions, decimals, and percentages help in math?

  It simplifies calculations and aids in comparisons
• How are integers defined?

  As whole numbers including zero and negative numbers
• What do percentages express?

  Rates or proportions
• How is the price of gas expressed using decimals?

  As a precise amount, like 1.55 pounds
• What is the purpose of percentages in mathematics?

  To express proportions or rates commonly
• How do you convert a decimal to a percentage?

  Multiply the decimal by 100
• How can you convert a fraction to a decimal?

  • Divide the numerator by the denominator
  • For example, to convert 1/4 to a decimal:
  • Numerator = 1
  • Denominator = 4
  • 1 ÷ 4 = 0.25
• What are percentages?

  Parts per hundred shown with "%" symbol
• What fraction represents 25% of the whole?

  1/4
• If you eat $\frac{1}{4}$ of a pizza, what does that represent?


  A part of the whole pizza
• What are the four ways to represent numbers?

  Integers, fractions, decimals, percentages
• What are the four key concepts in mathematics discussed?

  Integers, fractions, decimals, percentages
• What fraction represents 33.3% of the whole?

  1/3
• How do you express a decimal as a percentage?

  By multiplying the decimal by 100
• Why are integers important in mathematics?

  They form the basis for arithmetic and algebra
• What does a 5% interest on savings mean?

  It represents the rate earned on savings
• How do fractions and decimals relate to percentages?

  • Both can be converted to percentages
  • Represent different forms of numbers
• How can integers be negative in real life?

  They can represent debts, like owing money
• How is a fraction expressed?

  As a numerator divided by a denominator
• How do decimals extend the number system?

  They allow for precise measurements and calculations
• What do decimals show in measurements?

  Precision
• How are percentages represented?

  With a "%" symbol