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4.6: Homework

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Julie Harland
MiraCosta College

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Use the set theory definition of addition or subtraction to add or subtract each of the following. Define appropriate sets and show work. Refer back to pages 2 and 3 for addition and pages 41 and 42 for subtraction if you need help getting started.

Verify each of the following:

State whether each set is closed under addition and/or subtraction of whole numbers. Provide an example if it is closed, or provide a counterexample if it is not closed.

Add the following in the system in which the numbers are given. Show work.

Subtract the following in the system in which the numbers are given. Show work.

For each pair of numbers, add them together. Then subtract the smaller number from the larger number. Show work and check your answer.

$5432_{\text{six}}$ and $2453_{\text{six}}$

$5T4_{\text{twelve}}$ and $387_{\text{twelve}}$

Add 5643 + 7885 using each algorithm from this module. State the method for each.

Subtract 3586 from 8204 each algorithm from this module. State the method for each.

Write the addition table for Base Four.

Someone does the following computation in a certain base, but is making a mistake. What base were they working in and what is the mistake? 132 + 243 = 320. What is the correct answer? Be sure to show work.

Someone used the directed vector to do a subtraction problem. What was the subtraction problem used?

$Screen Shot 2021-05-03 at 12.19.39 AM.png$

Find the answer to the following subtraction problems by using directed vectors on the number line in conjunction with the missing addend approach. Draw the vectors.

In what number base or bases between 2 and 13 are each of the following calculations valid?

Eureka Math Grade 4 Module 6 Lesson 11 Answer Key

Engage ny eureka math 4th grade module 6 lesson 11 answer key, eureka math grade 4 module 6 lesson 11 problem set answer key.

$Engage NY Math Grade 4 Module 6 Lesson 11 Problem Set Answer Key 1$

Answer: The points are 0.2, 0.1, 0.33, 0.12, 0.21, 0.32.

$Eureka-Math-Grade-4-Module-6-Lesson-11-Answer Key-1$

Answer: The points are 3.62, 3.7, 3.85, 3.8, 3.64.

$Eureka-Math-Grade-4-Module-6-Lesson-11-Answer Key-2$

Answer: The points are 6.3, 6.31, 6.28, 6.2, 6.43, 6.40.

$Eureka-Math-Grade-4-Module-6-Lesson-11-Answer Key-3$

Question 2. Arrange the following numbers in order from greatest to least using decimal form. Use the > symbol between each number. a. $\frac{27}{10}$, 2.07, $\frac{27}{100}$, 2$\frac{71}{100}$, $\frac{227}{100}$, 2.72 b. 12$\frac{3}{10}$, 13.2, $\frac{134}{100}$, 13.02, 12$\frac{20}{100}$ c. 7$\frac{34}{100}$, 7$\frac{4}{10}$, 7$\frac{3}{10}$, $\frac{750}{100}$, 75, 7.2

Answer: a. The points are 2.7, 2.07, 0.27, 2.71, 2.27, 2.72.

Explanation: In the above-given question, given that, the points on the number line are 27/10 = 2.7. 2.07. 0.27. 2.71. 2.27. 2.72. the numbers from greatest to least are 2.72, 2.71, 2.7, 2.27, 2.07, 0.27.

Answer: b. The points are 12.3, 13.2, 1.34, 13.02, 12.2.

Explanation: In the above-given question, given that, the points on the number line are 12$\frac{3}{10}$, 13.2, $\frac{134}{100}$, 13.02, 12$\frac{20}{100}$ 123/10 = 12.3. $\frac{134}{100}$ = 134/100= 1.34. 13.2. 12$\frac{20}{100}$ = 1220/100 = 12.2. 13.02. the numbers from greatest to least are 13.2, 13.02, 12.3, 12.2, 1.34.

Answer: c. The points are 7.34, 7.4, 7.3, 7.5, 75, 7.2.

Explanation: In the above-given question, given that, the points on the number line are 7$\frac{34}{100}$, 7$\frac{4}{10}$, 7$\frac{3}{10}$, $\frac{750}{100}$, 75, 7.2 75. 7$\frac{34}{100}$ = 734/100= 7.34. 7.2. 7$\frac{4}{10}$ = 74/10 = 7.4. 7$\frac{3}{10}$ = 73/10 = 7.3. 750/100 = 7.5. the numbers from greatest to least are 75, 7.5, 7.4, 7.34, 7.3, 7.2..

Question 3. In the long jump event, Rhonda jumped 1.64 meters. Mary jumped 1$\frac{6}{10}$ meters. Kerri jumped $\frac{94}{100}$ meter. Michelle jumped 1.06 meters. Who jumped the farthest?

Answer: Rhonda jumped the farthest = 1.64 meters.

Explanation: In the above-given question, given that, Rhonda jumped 1.64 meters. Mary jumped 16/10 = 1.6 meters. Kerri jumped 0.94 meters. Michelle jumped 1.06 meters. the farthest jumped = 1.64 meters.

Question 4. In December, 2$\frac{3}{10}$ feet of snow fell. In January, 2.14 feet of snow fell. In February, 2$\frac{19}{100}$ feet of snow fell, and in March, 1$\frac{1}{10}$ feet of snow fell. During which month did it snow the most? During which month did it snow the least?

Answer: The month in which it snows the most = December. The month in which it snows the least = march.

Explanation: In the above-given question, given that, In December, 2$\frac{3}{10}$ feet of snow fell = 23/10 = 2.3. In January, 2.14 feet of snow fell. In February, 2$\frac{19}{100}$ feet of snow fell = 2.19. In March, 1$\frac{1}{10}$ feet of snow fell = 1.1. the month in which it snows the most = December. the month in which it snows the least = march.

Eureka Math Grade 4 Module 6 Lesson 11 Exit Ticket Answer Key

$Eureka Math 4th Grade Module 6 Lesson 11 Exit Ticket Answer Key 1$

Answer: The points are 1.1, 1.3, 1.20, 1.29, 1.11, 1.02.

$Eureka-Math-Grade-4-Module-6-Lesson-11-Answer Key-4$

Question 2. Arrange the following numbers in order from greatest to least using decimal form. Use the > symbol between each number. 5.6, $\frac{605}{100}$, 6.15, 6$\frac{56}{100}$, $\frac{516}{100}$, 6 ones and 5 tenths

Answer: 5.6 > 5.16 > 6.5 > 6.05 > 6.15 > 6.56.

Explanation: In the above-given question, given that, the points are 605/100 = 6.05. 656/100 = 6.56. 516/100 = 5.16. the points from least to greatest are 5.6 > 5.16 > 6.5 > 6.05 > 6.15 > 6.56.

Eureka Math Grade 4 Module 6 Lesson 11 Homework Answer Key

$Eureka Math Grade 4 Module 6 Lesson 11 Homework Answer Key 1$

Answer: The points on the number line = 0.6, 0.5, 0.76, 0.79, 0.53, 0.67.

$Eureka-Math-Grade-4-Module-6-Lesson-11-Answer Key-5$

Answer: The points on the number line = 8.15, 8.32, 8.27, 8.2, 8.1.

$Eureka-Math-Grade-4-Module-6-Lesson-11-Answer Key-6$

Answer: The points on the number line = 13.12, 13.0, 13.3, 13.21, 1.33.

$Eureka-Math-Grade-4-Module-6-Lesson-11-Answer Key-7$

Question 2. Arrange the following numbers in order from greatest to least using decimal form. Use the > symbol between each number. a. 4.03, 4 ones and 33 hundredths, $\frac{34}{100}$, 4$\frac{43}{100}$, $\frac{430}{100}$, 4.31 b. 17$\frac{5}{10}$, 17.55, $\frac{157}{10}$ 17 ones and 5 hundredths, 15.71, 15$\frac{75}{100}$ c. 8 ones and 19 hundredths, 9$\frac{8}{10}$, 81, $\frac{809}{100}$, 8.9, 8$\frac{1}{10}$

Answer: 0.34 > 4.03 > 4.30 > 4.31 > 4.33 > 4.43.

Explanation: In the above-given question, given that, the points on the number line are. 4 ones and 33 hundredths = 4.33. 34/100 = 0.34. 443/100 = 4.43. 430/100 = 4.30. 0.34 > 4.03 > 4.30 > 4.31 > 4.33 > 4.43.

Question 3. In a paper airplane contest, Matt’s airplane flew 9.14 meters. Jenna’s airplane flew 9$\frac{4}{10}$ meters. Ben’s airplane flew $\frac{904}{100}$ meters. Leah’s airplane flew 9.1 meters. Whose airplane flew the farthest?

Answer: The airplane flew the farthest = Jenna airplane.

Explanation: In the above-given question, given that, Matt’s airplane flew = 9.14 meters. Jenna’s airplane flew = 94/10 = 9.4 meters. Ben’s airplane flew = 904/100 = 9.04 meters. Leah’s airplane flew = 9.1 meters. jenna’s airplane flew the farthest.

Question 4. Becky drank 1$\frac{41}{100}$ liters of water on Monday, 1.14 liters on Tuesday, 1.04 liters on Wednesday, $\frac{11}{10}$ liters on Thursday, and 1$\frac{40}{100}$ liters on Friday. Which day did Becky drink the most? Which day did Becky drink the least?

Answer: The Becky drink the most = Friday. The Becky drink the least = Wednesday.

Explanation: In the above-given question, given that, Becky drinks water on Monday = 1.41 liters. Becky drinks water on Tuesday = 1.14 liters. Becky drinks water on Wednesday = 1.04 liters. Becky drinks water on Thursday = 1.1 liters. Becky drinks water on Friday = 1.40 liters. The Becky drink the most = Friday. The Becky drink the least = Wednesday.

Eureka Math Grade 4 Module 5 Lesson 11 Answer Key

Anyone who wishes to prepare Grade concepts can get a strong foundation by accessing the Eureka Math Book Answer Key. People of highly subject expertise prepared the solutions in a concise manner for easy grasping. Start answering all the questions given in Eureka Math Book Grade 4 Answer Key. Refer to our Eureka Math Answers Grade 4 chapter 11 to enhance your math skills and also to score good marks in the exams.

Engage NY Eureka Math 4th Grade Module 5 Lesson 11 Answer Key

Eureka’s Math Answer Key for Grade 4 meets the content and intent of the school curriculum. By using the Eureka Math Grade 4 Answer Key, you can understand the topics of all chapters easily. Detailed solutions provided make it easy for you to grab Knowledge and learn the underlying concepts. Download Eureka Math Answers Grade 4 pdf for free. Tp the links and practice well for the exams.

Eureka Math Grade 4 Module 5 Lesson 11 Problem Set Answer Key

$Eureka Math Grade 4 Module 5 Lesson 11 Problem Set Answer Key 1$

Answer: 1/4.

$Eureka-Math-Grade-4-Module-5-Lesson-11-Answer Key-1$

Answer: 2/8 = 1/4.

$Eureka-Math-Grade-4-Module-5-Lesson-11-Answer Key-2$

Answer: 3/12 = 1/4.

$Eureka-Math-Grade-4-Module-5-Lesson-11-Answer Key-3$

Question 2. Write number sentences using multiplication to show: a. The fraction represented in 1(a) is equivalent to the fraction represented in 1(b).

Explanation: In the above-given question, given that, Label each number line with the fractions shown on the tape diagram. circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram. the length of the tape diagram is 1 meter. 2/8 = 1/4. 25 percent of the tape diagram is filled. 25/100 = 1/4. so 1/4 part is filled.

b. The fraction represented in 1(a) is equivalent to the fraction represented in 1(c).

Explanation: In the above-given question, given that, Label each number line with the fractions shown on the tape diagram. circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram. the length of the tape diagram is 1 meter. 3/12 = 1/4. 25 percent of the tape diagram is filled. 25/100 = 1/4. so 1/4 part is filled.

$Eureka Math Grade 4 Module 5 Lesson 11 Problem Set Answer Key 4$

Answer: 2/3.

$Eureka-Math-Grade-4-Module-5-Lesson-11-Answer Key-4$

Answer: 4/6 = 2/3.

$Eureka-Math-Grade-4-Module-5-Lesson-11-Answer Key-5$

Answer: 8/12 = 2/3.

$Eureka-Math-Grade-4-Module-5-Lesson-11-Answer Key-6$

Question 4. Write number sentences using division to show: a. The fraction represented in 3(a) is equivalent to the fraction represented in 3(b).

b. The fraction represented in 3(a) is equivalent to the fraction represented in 3(c).

Answer: 8/12= 2/3.

Question 5. a. Partition a number line from 0 to 1 into fifths. Decompose $\frac{2}{5}$ into 4 equal lengths.

Answer: 2/5.

b. Write a number sentence using multiplication to show what fraction represented on the number line is equivalent to $\frac{2}{5}$.

Answer: 8/15 = 2/5.

Explanation: In the above-given question, given that, Label each number line with the fractions shown on the tape diagram. circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram. the length of the tape diagram is 1 meter. 8/15 = 2/5. 1 x 2 = 2. 1 x 5 = 5. so 2/5 part is filled.

c. Write a number sentence using division to show what fraction represented on the number line is equivalent to $\frac{2}{5}$.

Explanation: In the above-given question, given that, Label each number line with the fractions shown on the tape diagram. circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram. the length of the tape diagram is 1 meter. 8/15 = 2/5. 8/4 = 2. 15/3 = 5. so 2/5 part is filled.

Eureka Math Grade 4 Module 5 Lesson 11 Exit Ticket Answer Key

Question 1. Partition a number line from 0 to 1 into sixths. Decompose $\frac{2}{6}$ into 4 equal lengths.

Answer: 2/6 = 1/3.

Question 2. Write a number sentence using multiplication to show what fraction represented on the number line is equivalent to $\frac{2}{6}$.

Answer: 8/12 = 2/6.

Question 3. Write a number sentence using division to show what fraction represented on the number line is equivalent to $\frac{2}{6}$.

Eureka Math Grade 4 Module 5 Lesson 11 Homework Answer Key

$Eureka Math 4th Grade Module 5 Lesson 11 Homework Answer Key 7$

Answer: 1/3.

$Eureka-Math-Grade-4-Module-5-Lesson-11-Answer Key-7$

Answer: 4/12 = 1/3.

$Eureka-Math-Grade-4-Module-5-Lesson-11-Answer Key-9$

Explanation: In the above-given question, given that, Label each number line with the fractions shown on the tape diagram. circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram. the length of the tape diagram is 1 meter. 2/6 = 1/3. 33 percent of the tape diagram is filled. 33/100 = 1/3. so 1/3 part is filled.

Explanation: In the above-given question, given that, Label each number line with the fractions shown on the tape diagram. circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram. the length of the tape diagram is 1 meter. 4/12 = 1/3. 33 percent of the tape diagram is filled. 33/100 = 1/3. so 1/3 part is filled.

$Eureka Math 4th Grade Module 5 Lesson 11 Homework Answer Key 10$

Answer: 2/4 = 1/2.

$Eureka-Math-Grade-4-Module-5-Lesson-11-Answer Key-10$

Answer: 4/8 = 1/2.

$Eureka-Math-Grade-4-Module-5-Lesson-11-Answer Key-11$

Answer: 5/10 = 1/2.

$Eureka-Math-Grade-4-Module-5-Lesson-11-Answer Key-12$

Question 4. Write a number sentence using division to show the fraction represented in 3(a) is equivalent to the fraction represented in 3(b).

Explanation: In the above-given question, given that, Label each number line with the fractions shown on the tape diagram. circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram. the length of the tape diagram is 1 meter. 4/8 = 1/2. 50 percent of the tape diagram is filled. 50/100 = 1/2. so 1/2 part is filled.

Question 5. a. Partition a number line from 0 to 1 into fourths. Decompose $\frac{3}{4}$ into 6 equal lengths.

Answer: 3/4.

Explanation: In the above-given question, given that, Label each number line with the fractions shown on the tape diagram. circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram. the length of the tape diagram is 1 meter. 3/4 = 0.75. 75 percent of the tape diagram is filled. 75/100 = 3/4. so 3/4 part is filled.

b. Write a number sentence using multiplication to show what fraction represented on the number line is equivalent to $\frac{3}{4}$.

Explanation: In the above-given question, given that, Label each number line with the fractions shown on the tape diagram. circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram. the length of the tape diagram is 1 meter. 3/4 = 0.75. 75 percent of the tape diagram is filled. 75/100 = 3/4. 3 x 1 = 3. 4 x 1 = 4. so 3/4 part is filled.

c. Write a number sentence using division to show what fraction represented on the number line is equivalent to $\frac{3}{4}$.

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