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Divide Decimals By Single-Digit Whole Numbers

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• Grade 5 Mathematics Module 1, Topic F, Lesson 13

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• 4.NBT.B.4 ,
• 5.NBT.A.1 ,
• 5.NBT.B.7 ,
• CCSS Standard:
• 5.NBT.3.A ,
• 5.NBT.A.3.A ,

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Eureka Math Grade 6 Module 1 Lesson 13 Answer Key

Engage ny eureka math 6th grade module 1 lesson 13 answer key, eureka math grade 6 module 1 lesson 13 exercise answer key.

Exercise 1 Jorge is mixing a special shade of orange paint. He mixed 1 gallon of red paint with 3 gallons of yellow paint. Based on this ratio, which of the following statements are true?

→ \(\frac{3}{4}\) of a 4 gallon mix would be yellow paint. Answer: True

→ Every 1 gallon of yellow paint requires \(\frac{1}{3}\) gallon of red paint. . Answer: True

→ Every 1 gallon of red paint requires 3 gallons of yellow paint. Answer: True

→ There is 1 gallon of red paint in a 4-gallon mix of orange paint, Answer: True

→ There are 2 gallons of yellow paint in an 8-gallon mix of orange paint. Answer: False

Write an equation that will let Jorge calculate the amount of red paint he will need for any given amount of blue paint. Answer: R = 4B

Write an equation that will let Jorge calculate the amount of blue paint he will need for any given amount o red paint. Answer: B = \(\frac{1}{4}\)R

If Jorge has 24 gallons of red paint, how much blue paint will he have to use to create the desired color of purple? Answer: Jorge will have to use 6 gallons of blue paint.

If Jorge has 24 gallons of blue paint, how much red paint will he have to use to create the desired color of purple? Answer: Jorge will have to use 96 gallons of red paint.

Equation: Answer: T = 5B

Value of the ratio of total paint to blue paint: Answer: \(\frac{5}{1}\)

How is the value of the ratio related to the equation? Answer: The value of the ratio is used to determine the total paint value by multiplying it with the blue paint value.

Equations: Answer: M = 6w W = \(\left(\frac{1}{6}\right)\)M \(\frac{M}{W}\) = 6 \(\frac{W}{M}\) = \(\frac{1}{6}\)

If 200 women participated in the training exercise, use one of your equations to calculate the number of men who participated. Answer: I can substitute 200 for the value of women and multiply by 6, the value of the ratio, to get the number of men. There would be 1,200 men participating in the training exercise.

What is the value of the ratio of the number of cars to the number of trucks? Answer: \(\frac{3}{1}\)

What equation would model the relationship between cars and trucks? Answer: C = 3T and T = \(\left(\frac{1}{3}\right)\)C

At the end of the trip, Malla had counted 1, 254 trucks. How many cars did she see? Answer: C = 1,254.3; C = 3, 762 cars

What is the value of the ratio of the number of minutes walking to the number of minutes running? Answer: \(\frac{1}{5}\)

What equation could you use to calculate the minutes spent walking if you know the minutes spent running? Answer: W = \(\frac{1}{5}\)R; Answers will vary.

Eureka Math Grade 6 Module 1 Lesson 13 Problem Set Answer Key

Question 1. Write the value of the ratio of the amount of white sugar to the amount of brown sugar. Answer: \(\frac{1}{3}\)

Question 2. Write an equation that shows the relationship of the amount of white sugar to the amount of brown sugar. Answer: B = 3W or W = \(\frac{1}{3}\) B

Question 3. Explain how the value of the ratio can be seen In the table. Answer: The values in the first row show the values in the ratio. The ratio of the amount of brown sugar to the amount of white sugar is 3: 1. The value of the ratio is \(\frac{3}{1}\).

Question 4. Explain how the value of the ratio can be seen in the equation. Answer: The amount of brown sugar is represented as B in the equation. The amount of white sugar is represented as W. The value is represented because the amount of brown sugar is three times as much as the amount of white sugar, or B = 3W.

Question 5. Write the value of the ratio of the amount of total sugar to the amount of white sugar. Answer: \(\frac{4}{1}\)

Question 6. Write an equation that shows the relationship of total sugar to white sugar. Answer: T = 4W

Eureka Math Grade 6 Module 1 Lesson 13 Exit Ticket Answer Key

Question 1. A carpenter uses four nails to install each shelf. Complete the table to represent the relationship between the number of nails (N) and the number of shelves (S). Write the ratio that describes the number of nails per number of shelves. Write as many different equations as you can that describe the relationship between the two quantities.

\(\left(\frac{N}{S}\right)=\left(\frac{4}{1}\right)\) Equations: N = 4s S = \(\left(\frac{1}{4}\right)\)N

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