## Engage NY Eureka Math 7th Grade Module 4 Lesson 1 Answer Key

### Eureka Math Grade 7 Module 4 Lesson 1 Example Answer Key

Example 1.

Use the definition of the word percent to write each percent as a fraction and then as a decimal.

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Example 2.

Fill in the chart by converting between fractions, decimals, and percents. Show your work in the space below.

Answer:

350% as a fraction: 350% = \(\frac{350}{100}\) = \(\frac{35}{10}\) = \(\frac{7}{2}\) = 3\(\frac{1}{2}\)

350% as a decimal: 350% = \(\frac{350}{100}\) = 3.50

### Eureka Math Grade 7 Module 4 Lesson 1 Exercise Answer Key

Opening Exercise 1: Matching

Match the percents with the correct sentence clues.

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Opening Exercise 2.

Color in the grids to represent the following fractions:

a. \(\frac{30}{100}\)

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b. \(\frac{3}{100}\)

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c. \(\frac{\frac{1}{3}}{100}\)

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### Eureka Math Grade 7 Module 4 Lesson 1 Problem Set Answer Key

Question 1.

Create a model to represent the following percents.

a. 90%

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b. 0.9%

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c. 900%

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c. \(\frac{9}{10}\)%

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Question 2.

Benjamin believes that \(\frac{1}{2}\)% is equivalent to 50%. Is he correct? Why or why not?

Answer:

Benjamin is not correct because \(\frac{1}{2}\)% is equivalent to 0.50%, which is equal to (\(\frac{\frac{1}{2}}{100}\)). The second percent is equivalent to \(\frac{50}{100}\). These percents are not equivalent.

Question 3.

Order the following from least to greatest:

100%, \(\frac{1}{100}\), 0.001%, \(\frac{1}{10}\), 0.001, 1.1, 10, and \(\frac{10,000}{100}\)

Answer:

0.001%, 0.001, \(\frac{1}{100}\), \(\frac{1}{10}\), 100%, 1.1, 10, and \(\frac{10,000}{100}\)

Question 4.

Fill in the chart by converting between fractions, decimals, and percents. Show work in the space below.

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### Eureka Math Grade 7 Module 4 Lesson 1 Exit Ticket Answer Key

Question 1.

Fill in the chart converting between fractions, decimals, and percents. Show work in the space provided.

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Question 2.

Using the values from the chart in Problem 1, which is the least and which is the greatest? Explain how you arrived at your answers.

Answer:

The least of the values is \(\frac{2}{5}\)%, and the greatest is 1.125. To determine which value is the least and which is the greatest, compare all three values in decimal form, fraction form, or percents. When comparing the three decimals, 0.125, 1.125, and 0.004, one can note that 0.004 is the smallest value, so \(\frac{2}{5}\)% is the least of the values and 1.125 is the greatest.

### Eureka Math Grade 7 Module 4 Lesson 1 Fractions, Decimals, and Percents—Round 1 Answer Key

Directions: Write each number in the alternate form indicated.

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### Eureka Math Grade 7 Module 4 Lesson 1 Fractions, Decimals, and Percents—Round 2 Answer Key

Directions: Write each number in the alternate form indicated.

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