Multiplying Decimals

• What is the first step in converting a decimal to a fraction?

  Write down the decimal number
• Why is converting decimals to fractions useful?

  It can make multiplication easier
• How do you identify the decimal places in a number?

  Count the digits after the decimal point
• If you have the decimal $0.5$, how would you create a fraction?


  Use $\frac{5}{10}$ as the fraction
• What is the process to simplify the fraction $\frac{5}{10}$?


  Divide both by 5 to get $\frac{1}{2}$
• What is the simplified form of $\frac{25}{100}$?


  $\frac{1}{4}$
• What is the simplified form of $\frac{125}{1000}$?


  $\frac{1}{8}$
• What are the steps to multiply fractions?

  1. Convert decimals to fractions if needed
  2. Multiply the numerators
  3. Multiply the denominators
  4. Simplify the result if necessary
• How do you multiply decimals directly?

  Ignore the decimal points and multiply
• What should you do after multiplying decimals directly?

  Place the decimal point in the result
• How do you count the total decimal places in two numbers?

  Add the decimal places from both numbers
• If you multiply $0.5 \times 0.25$, how many decimal places do you count?


  Three decimal places
• What is the result of $5 \times 25$ when multiplying decimals?


  125
• How do you place the decimal point in the product of $0.5 \times 0.25$?


  Three places from the right
• What are the steps to simplify the result after multiplying decimals?

  1. Convert the decimal back to a fraction if needed
  2. Find the Greatest Common Factor (GCF)
  3. Divide both numerator and denominator by the GCF
  4. Write the simplified fraction or decimal
• What is the simplified result of $0.5 \times 0.25$?


  $\frac{1}{8}$
• What is the decimal equivalent of $\frac{1}{8}$?


  0.125