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IM 7.4.5 Lesson: Say It with Decimals

A calculator gives the following decimal representations for some unit fractions:






What do you notice? What do you wonder?

Use long division to express this fraction as a decimal.

Use long division to express this fraction as a decimal.

Use long division to express this fraction as a decimal.

What is similar about your answers to the previous 3 questions? What is different?

Use the decimal representations from your answers above to decide which of these fractions has the greatest value. Explain your reasoning.

One common approximation for  is . Express this fraction as a decimal. How does this approximation compare to 3.14?

Match each diagram

Draw a diagram for one of the unmatched equations.

Cards have proportional relationships represented 2 different ways: as descriptions and equations. Match a description with an equation.

Use the following directions for the next activity: Take turns with a partner to match a description with an equation.
  1. For each match you find, explain to your partner how you know it’s a match.
  2. For each match your partner finds, listen carefully to their explanation, and if you disagree, explain your thinking.
  3. When you have agreed on all of the matches, check your answers with the answer key. If there are any errors, discuss why and revise your matches.

Explain how you know it’s a match.