Eureka Math Grade 5 Module 4 Lesson 29 Answer Key (2024)

Engage NY Eureka Math 5th Grade Module 4 Lesson 29 Answer Key

Eureka Math Grade 5 Module 4 Lesson 29 Problem Set Answer Key

Question 1.
Divide. Rewrite each expression as a division sentence with a fraction divisor, and fill in the blanks. The first one is done for you.

Example: 2 ÷ 0.1 = 2 ÷ \(\frac{1}{10}\) = 20
There are 10 tenths in 1 whole.
There are 20 tenths in 2 wholes.

a. 5 ÷ 0.1
There are ____ tenths in 1 whole.
There are ____ tenths in 5 wholes.

Answer:
There are 10 tenths in 1 whole.
There are 50 tenths in 5 wholes.

Explanation:
Given that 5 ÷ 0.1 which is 50. In that, there are 10 tenths in 1 whole and there are 50 tenths in 5 wholes.

b. 8 ÷ 0.1

There are ____ tenths in 1 whole.
There are ____ tenths in 8 wholes.

Answer:
There are 10 tenths in 1 whole.
There are 8 tenths in 5 wholes.

Explanation:
Given that 8 ÷ 0.1 which is 80. In that, there are 10 tenths in 1 whole and there are 80 tenths in 8 wholes.

c. 5.2 ÷ 0.1

There are tenths in 5 wholes.
There are ____ tenths in 2 tenths.
There are ____ tenths in 5.2.

Answer:
There are 2 tenths in 2 tenths.
There are 52 tenths in 5.2.

Explanation:
Given that 5 ÷ 0.1 which is 50. In that, there are 10 tenths in 1 whole and there are 50 tenths in 5 wholes.

d. 8.7 ÷ 0.1
There are ____ tenths in 8 wholes.
There are ____ tenths in 7 tenths.
There are ____ tenths in 8.7.

Answer:
There are 80 tenths in 8 wholes.
There are 7 tenths in 7 tenths.
There are 87 tenths in 8.7.

Explanation:
Given that 8.7 ÷ 0.1 which is 87. In that, there are 80 tenths in 8 whole and there are 7 tenths in 7 tenths and there are 87 tenths in 8.7.

e. 5 ÷ 0.01
There are 100 hundredths in 1 whole.
There are 500 hundredths in 5 wholes.

Answer:
There are ____ hundredths in 1 whole.
There are ____ hundredths in 5 wholes.

Explanation:
Given that 5 ÷ 0.01 which is 500. In that, there are 100 hundredths in 1 whole and there are 500 hundredths in 5 wholes.

f. 8 ÷ 0.01
There are ____ hundredths in 1 whole.
There are ____ hundredths in 8 wholes.

Answer:
There are 100 hundredths in 1 whole.
There are 800 hundredths in 8 wholes.

Explanation:
Given that 8 ÷ 0.01 which is 800. In that, there are 100 hundredths in 1 whole and there are 800 hundredths in 8 wholes.

g. 5.2 ÷ 0.01
There are ____ hundredths in 5 wholes.
There are ____ hundredths in 2 tenths.
There are ____ hundredths in 5.2.

Answer:
There are 500 hundredths in 1 whole.
There are 20 hundredths in 5 tenths.
There are 520 hundredths in 5.2.

Explanation:
Given that 5.2 ÷ 0.01 which is 520. In that, there are 500 hundredths in 1 whole and there are 20 hundredths in 5 tenths and there are 520 hundredths in 5.2.

h. 8.7 ÷ 0.01
There are ____ hundredths in 8 wholes.
There are ____ hundredths in 7 tenths.
There are ____ hundredths in 8.7.

Answer:
There are 800 hundredths in 8 whole.
There are 70 hundredths in 7 tenths.
There are 870 hundredths in 8.7.

Explanation:
Given that 8.7 ÷ 0.01 which is 870. In that, there are 800 hundredths in 8 whole and there are 70 hundredths in 7 tenths and there are 870 hundredths in 8.7.

Question 2.
Divide.
a. 6 ÷ 0.1

Answer:
6 ÷ 0.1 = 60.

Explanation:
The division of 6 ÷ 0.1 is 60.

b. 18 ÷ 0.1

Answer:
18 ÷ 0.1 = 180.

Explanation:
The division of 18 ÷ 0.1 is 180.

c. 6 ÷ 0.01

Answer:
6 ÷ 0.01 = 600.

Explanation:
The division of 6 ÷ 0.01 is 600.

d. 1.7 ÷ 0.1

Answer:
1.7 ÷ 0.1 = 17.

Explanation:
The division of 1.7 ÷ 0.1 is 17.

e. 31 ÷ 0.01

Answer:
31 ÷ 0.01 = 3,100.

Explanation:
The division of 31 ÷ 0.01 is 3,100.

f. 11 ÷ 0.01

Answer:
11 ÷ 0.01 = 1,100.

Explanation:
The division of 11 ÷ 0.01 is 1,100.

g. 125 ÷ 0.1

Answer:
125 ÷ 0.1 = 1,250.

Explanation:
The division of 125 ÷ 0.1 is 1,250.

h. 3.74 ÷ 0.01

Answer:
3.74 ÷ 0.01 = 374.

Explanation:
The division of 3.74 ÷ 0.01 is 374.

i. 12.5 ÷ 0.01

Answer:
12.5 ÷ 0.01 = 1,250.

Explanation:
The division of 12.5 ÷ 0.01 is 1,250.

Question 3.
Yung bought $4.60 worth of bubble gum. Each piece of gum cost $0.10. How many pieces of bubble gum did Yung buy?

Answer:
Yung bought 46 pieces of gum.

Explanation:
Here, Yung bought $4.60 worth of bubble gum, and each piece of gum cost $0.10. So the number of pieces of bubble gum did Yung bought is $4.60 ÷ $0.10 = $46. So Yung bought 46 pieces of gum.

Question 4.
Cheryl solved a problem: 84 ÷ 0.01 = 8,400.
Jane said, “Your answer is wrong because when you divide, the quotient is always smaller than the whole amount you start with, for example, 6 ÷ 2 = 3 and 100 ÷ 4 = 25.” Who is correct? Explain your thinking.

Answer:
Some examples are,
84 ÷ 1 = 84, 84 ÷ 10 = 8.4, 84 ÷ 0.1 = 840.

Explanation:
Cheryl is correct and Jane is correct only some of the time and Cheryl can help Jane understand by showing some examples like,
84 ÷ 1 = 84, 84 ÷ 10 = 8.4, 84 ÷ 0.1 = 840.

Question 5.
The U.S. Mint sells 2 ounces of American Eagle gold coins to a collector. Each coin weighs one-tenth of an ounce. How many gold coins were sold to the collector?
Answer:
The number of gold coins was sold to the collector is 20 gold coins.

Explanation:
Here, U.S. Mint sells 2 ounces of American Eagle gold coins to a collector and each coin weighs one-tenth of an ounce, so the number of gold coins were sold to the collector is 2 ÷ 1/10 which is 2 ÷ 0.1 = 20 gold coins.

Eureka Math Grade 5 Module 4 Lesson 29 Exit Ticket Answer Key

Question 1.
8.3 is equal to
_______ tenths
_______ hundredths
Answer:
83 tenths
830 hundredths.

Explanation:
Given that the number is 8.3 which is equal to 83 tenths and 830 hundred.

Question 2.
28 is equal to
_______ hundredths
_______ tenths
Answer:
2800 tenths
830 hundredths.

Explanation:
Given that the number is 8.3 which is equal to 83 tenths and 830 hundred.

Question 3.
15.09 ÷ 0.01 = _______
Answer:
15.09 ÷ 0.01 = 1,509.

Explanation:
Given that the equation is 15.09 ÷ 0.01 which is equal to 1,509.

Question 4.
267.4 ÷ \(\frac{1}{10}\) = _______
Answer:
267.4 ÷ \(\frac{1}{10}\) = 2,674

Explanation:
Given that the equation is 267.4 ÷ \(\frac{1}{10}\) which is equal to 2,674.

Question 5.
632.98 ÷ \(\frac{1}{100}\) = _______
Answer:
632.98 ÷ \(\frac{1}{100}\) = 63,298

Explanation:
Given that the equation is 632.98 ÷ \(\frac{1}{100}\) which is equal to 63,298.

Eureka Math Grade 5 Module 4 Lesson 29 Homework Answer Key

Question 1.
Divide. Rewrite each expression as a division sentence with a fraction divisor, and fill in the blanks. The first one is done for you.
a. 9 ÷ 0.1
There are ______ tenths in 1 whole.
There are ______ tenths in 9 wholes.

Answer:
There are 10 tenths in 1 whole.
There are 90 tenths in 9 wholes.

Explanation:
Given that 9 ÷ 0.1 which is 90. In that, there are 10 tenths in 1 whole and there are 90 tenths in 9 wholes.

b. 6 ÷ 0.1
There are ______ tenths in 1 whole.
There are ______ tenths in 6 wholes.

Answer:
There are 10 tenths in 1 whole.
There are 60 tenths in 6 wholes.

Explanation:
Given that 6 ÷ 0.1 which is 60. In that, there are 10 tenths in 1 whole and there are 60 tenths in 6 wholes.

c. 3.6 ÷ 0.1
There are ______ tenths in 3 wholes.
There are ______ tenths in 6 tenths.
There are ______ tenths in 3.6.

Answer:
There are 30 tenths in 3 wholes.
There are 6 tenths in 6 tenths.
There are 36 tenths in 3.6.

Explanation:
Given that 3.6 ÷ 0.1 which is 36. In that, there are 30 tenths in 3 wholes and there are 6 tenths in 6 tenths and there are 36 tenths in 3.6.

d. 12.8 ÷ 0.1
There are ______ tenths in 12 wholes.
There are ______ tenths in 8 tenths.
There are ______ tenths in 12.8.

Answer:
There are 120 tenths in 12 wholes.
There are 8 tenths in 8 tenths.
There are 128 tenths in 12.8.

Explanation:
Given that 12.8 ÷ 0.1 which is 128. In that, there are 120 tenths in 12 wholes and there are 8 tenths in 8 tenths and there are 128 tenths in 12.8.

e. 3 ÷ 0.1
There are ______ tenths in 1 whole.
There are ______ tenths in 3 wholes.

Answer:
There are 100 tenths in 1 whole.
There are 300 tenths in 3 wholes.

Explanation:
Given that 3 ÷ 0.1 which is 30. In that, there are 100 tenths in 1 whole and there are 300 tenths in 3 wholes.

f. 7 ÷ 0.1
There are ______ tenths in 1 whole.
There are ______ tenths in 7 wholes.

Answer:
There are 100 tenths in 1 whole.
There are 700 tenths in 7 wholes.

Explanation:
Given that 7 ÷ 0.1 which is 70. In that, there are 100 tenths in 1 whole and there are 700 tenths in 7 wholes.

g. 4.7 ÷ 0.01
There are ______ tenths in 4 wholes.
There are ______ tenths in 7 tenths.
There are ______ tenths in 4.7.

Answer:
There are 400 tenths in 4 wholes.
There are 70 tenths in 7 tenths.
There are 470 tenths in 4.7.

Explanation:
Given that 4.7 ÷ 0.01 which is 470. In that, there are 400 tenths in 4 wholes and there are 70 tenths in 7 tenths and there are 470 tenths in 4.7.

h. 11.3 ÷ 0.01
There are ______ tenths in 11 wholes.
There are ______ tenths in 3 tenths.
There are ______ tenths in 11.3.

Answer:
There are 1100 tenths in 11 wholes.
There are 30 tenths in 3 tenths.
There are 1130 tenths in 11.3.

Explanation:
Given that 11.3 ÷ 0.01 which is 1,130. In that, there are 1100 tenths in 11 wholes and there are 30 tenths in 3 tenths and there are 1130 tenths in 11.3.

Question 2.
Divide.
a. 2 ÷ 0.1

Answer:
2 ÷ 0.1 = 20.

Explanation:
The division of 2 ÷ 0.1 is 20.

b. 23 ÷ 0.1

Answer:
23 ÷ 0.1 = 230.

Explanation:
The division of 23 ÷ 0.1 is 230.

c. 5 ÷ 0.01

Answer:
5 ÷ 0.01 = 500.

Explanation:
The division of 5 ÷ 0.01 is 500.

d. 7.2 ÷ 0.1

Answer:
7.2 ÷ 0.1 = 72.

Explanation:
The division of 7.2 ÷ 0.1 is 72.

e. 51 ÷ 0.01

Answer:
51 ÷ 0.01 = 5,100.

Explanation:
The division of 51 ÷ 0.01 is 5,100.

f. 31 ÷ 0.1

Answer:
31 ÷ 0.1 = 310.

Explanation:
The division of 31 ÷ 0.1 is 310.

g. 231 ÷ 0.1

Answer:
231 ÷ 0.1 = 2,310.

Explanation:
The division of 231 ÷ 0.1 is 2,310.

h. 4.37 ÷ 0.01

Answer:
4.37 ÷ 0.01 = 437.

Explanation:
The division of 4.37 ÷ 0.01 is 437.

i. 24.5 ÷ 0.01

Answer:
24.5 ÷ 0.01 = 2,450.

Explanation:
The division of 24.5 ÷ 0.01 is 2,450.

Question 3.
Giovanna is charged $0.01 for each text message she sends. Last month, her cell phone bill included a $12.60 charge for text messages. How many text messages did Giovanna send?
Answer:
The number of text messages did Giovanna send is 1,260.

Explanation:
Here, Giovanna is charged $0.01 for each text message she sends, and in last month, her cell phone bill included a $12.60 charge for text messages. So the number of text messages did Giovanna send is $12.60 ÷ $0.01 which is 1,260.

Question 4.
Geraldine solved a problem: 68.5 ÷ 0.01 = 6,850.
Ralph said, “This is wrong because a quotient can’t be greater than the whole you start with. For example, 8 ÷ 2 = 4 and 250 ÷ 5 = 50.” Who is correct? Explain your thinking.
Answer:
Geraldine was correct.

Explanation:
Geraldine was correct. As quotient can be greater than the whole start. So Geraldine was correct.

Question 5.
The price for an ounce of gold on September 23, 2013, was $1,326.40. A group of 10 friends decide to equally share the cost of 1 ounce of gold. How much money will each friend pay?
Answer:
Each friend pays $1326.40 ÷ 10 which is $132.64.

Explanation:
Here, the price for an ounce of gold on September 23, 2013, was $1,326.40 and a group of 10 friends decide to equally share the cost of 1 ounce of gold. So each friend pays $1326.40 ÷ 10 which is $132.64.

Eureka Math Grade 5 Module 4 Lesson 29 Answer Key (2024)

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What grade does Eureka math go up to? ›

Eureka Math® is a holistic Prekindergarten through Grade 12 curriculum that carefully sequences mathematical progressions in expertly crafted modules, making math a joy to teach and learn. We provide in-depth professional development, learning materials, and a community of support.

Is Eureka Math a curriculum? ›

An Elementary, Middle, And High School Math Curriculum. Eureka Math® is a math program designed to advance equity in the math classroom by helping students build enduring math knowledge.

What fraction of a yard does Regina buy 24 inches of trim for a craft project? ›

Regina buys 24 inches of trim for a craft project. a. What fraction of a yard does Regina buy? 24 in = 12 yd 36in = lyd s⇒→Lxfr = 24 x 36 xd Regina bays 12/25 yd.

What is the hardest math in 5th grade? ›

Some of the hardest math problems for fifth graders involve multiplying: multiplying using square models, multiplying fractions and whole numbers using expanded form, and multiplying fractions using number lines.

What is the hardest math grade? ›

Generally speaking, the most rigorous math courses in high school include Advanced Placement (AP) Calculus AB and BC, AP Statistics, and for some, Multivariable Calculus (which might be offered at your school or at a local college).

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Anyone can download the entire PK–12 Eureka Math curriculum, along with a variety of instructional materials and support resources, for free. Some materials, such as our printed workbooks, Eureka Digital Suite, Affirm, Eureka Math Equip, and Eureka Math in Sync must be purchased.

What is the hardest math curriculum? ›

AP Calculus BC and IB Math HL are particularly challenging because they are designed to prepare students for college-level mathematics. These courses cover a wide range of topics, including calculus, trigonometry, and statistics.

What fraction of 1 yard is 3 in? ›

Expert-Verified Answer

For a question like this, the measures need to have the same units. It is convenient to use inches. A yard is 36 inches, so the fraction is ... 3 inches is 1/12 of a yard.

What percent of a yard is a foot in fraction form? ›

Answer and Explanation:

A foot is is 33.3333... % of a yard. A yard is three feet, which means that one foot is a third of a yard.

What is the highest level of math in 9th grade? ›

9th grade math usually focuses on Algebra I, but can include other advanced mathematics such as Geometry, Algebra II, Pre-Calculus or Trigonometry.

What grade does prodigy math go up to? ›

With 1,500+ curriculum-aligned math skills for 1st to 8th grade, Prodigy Math is so much more than a game. Prodigy Math is an engaging game-based learning platform that's dedicated to improving students' confidence and achievements in math.

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Wrap up with Calculus, the highest level of math offered by many high schools and often considered the gold standard of pre-college math preparation.

What math do advanced 8th graders take? ›

The primary strands for an 8th-grade math curriculum are number sense and operations, algebra, geometry, and spatial sense, measurement, and data analysis and probability. While these math strands might surprise you, they are all critical lessons for an 8th-grade math curriculum.

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