Reciprocal

• What is the reciprocal of 10?

  $\frac{1}{10}$
• What is the reciprocal of 3?

  $\frac{1}{3}$
• What is the reciprocal of the fraction $\frac{5}{7}$?


  $\frac{7}{5}$
• What is the reciprocal of 15?

  $\frac{1}{15}$
• What is the reciprocal of the decimal 0.2?

  5
• How do you find the reciprocal of a whole number?

  Put the number in the denominator of a fraction with 1 as the numerator.
• What is the first step to find the reciprocal of a decimal?

  Convert it to a fraction
• How do you find the reciprocal of a fraction?

  By flipping the numerator and denominator.
• What is the reciprocal of the number 5?

  • Reciprocal of 5 is $\frac{1}{5}$
  • Product of 5 and its reciprocal is 1
• What is a summary of finding reciprocals of fractions?

  • Flip the numerator and denominator.
  • Example:
  • For $\frac{2}{3}$, reciprocal is $\frac{3}{2}$.
  • For $\frac{5}{7}$, reciprocal is $\frac{7}{5}$.
• What is the reciprocal of the decimal 0.5?

  2
• What is the definition of a reciprocal of a fraction?

  It is obtained by flipping numerator and denominator.
• How does the concept of a reciprocal relate to the multiplicative inverse?

  They are the same concept
• What is the reciprocal of the number 10?

  • Reciprocal of 10 is $\frac{1}{10}$
  • Product of 10 and its reciprocal is 1
• What does the reciprocal of a number do when multiplied by that number?

  It results in 1
• What is the definition of a reciprocal?

  It is the fraction with 1 as the numerator.
• How is the decimal 0.5 represented as a fraction?

  1/2
• What is the reciprocal of the decimal 0.25?

  4
• How is the decimal 0.2 represented as a fraction?

  1/5
• What are the reciprocals of the numbers 3, 10, and 15?

  • Reciprocal of 3 is $\frac{1}{3}$
  • Reciprocal of 10 is $\frac{1}{10}$
  • Reciprocal of 15 is $\frac{1}{15}$
• What is the reciprocal of the fraction 1/5?

  5
• What is the summary of finding the reciprocal of decimals?

  • Convert decimal to fraction
  • Flip the fraction
  • Example: 0.5 → 1/2 → 2
  • Example: 0.25 → 1/4 → 4
• How is the decimal 0.25 represented as a fraction?

  1/4
• What is the reciprocal of the number 2?

  • Reciprocal of 2 is $\frac{1}{2}$
  • Product of 2 and its reciprocal is 1
• What does it mean to flip a fraction?

  To swap the numerator and denominator
• How can you find the monthly interest rate from an annual rate?

  By using reciprocals in calculations
• What is a construction application of reciprocals?

  Calculating the rise-to-run ratio for a staircase
• How would you use reciprocals to calculate travel time?

  By dividing distance by speed
• What is the definition of a reciprocal?

  A number's reciprocal is its multiplicative inverse
• What are some real-world applications of reciprocals?

  • Cooking: Adjusting recipe measurements
  • Travel: Calculating travel time
  • Finance: Calculating interest rates
  • Construction: Rise-to-run ratio for staircases
• How are reciprocals used in finance?

  To calculate interest rates for investments
• What are reciprocals used for in cooking?

  Adjusting recipe measurements
• How do reciprocals assist in cooking?

  By multiplying to double or halve ingredients