Engage NY Eureka Math 4th Grade Module 5 Lesson 1 Answer Key
Eureka Math Grade 4 Module 5 Lesson 1 Problem Set Answer Key
Question 1.
Draw a number bond, and write the number sentence to match each tape diagram. The first one is done for you.
a. 
Answer:
1 = 1/3 + 1/3 + 1/3.
Explanation:
In the above-given question,
given that,
total there are 3 boxes.
the 3 boxes are filled.
1 = 1/3 + 1/3 + 1/3.
b. 
Answer:
4/5 = 1/5 + 2/5 + 1/5.
Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 4 boxes are filled.
4/5 = 1/5 + 2/5 + 1/5.
c. 
Answer:
3/4 = 1/4 + 1/4 + 1/4.
Explanation:
In the above-given question,
given that,
total there are 4 boxes.
the 3 boxes are filled.
3/4 = 1/4 + 1/4 + 1/4.
d. 
Answer:
4/6 = 2/6 + 2/6.
Explanation:
In the above-given question,
given that,
total there are 6 boxes.
the 4 boxes are filled.
4/6 = 2/6 + 2/6 .
e. 
Answer:
6/8 = 2/8 + 2/8 + 2/8.
Explanation:
In the above-given question,
given that,
total there are 8 boxes.
the 6 boxes are filled.
6/8 = 2/8 + 2/8 + 2/8.
f. 
Answer:
1 = 1/5 + 1/5 + 1/5.
Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 5 boxes are filled.
1 = 1/5 + 1/5 + 1/5 + 1/5.
g. 
Answer:
1 = 1/5 + 2/5 + 3/5 + 1/5.
Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 5 boxes are filled.
1 = 1/5 + 2/5 + 3/5 +1/5.
h. 
Answer:
1 = 1/11 + 2/11 + 2/11 + 4/11 +1/11 + 8/11.
Explanation:
In the above-given question,
given that,
total there are 11 boxes.
the 11 boxes are filled.
1 = 1/11 + 2/11 + 2/11 + 4/11 + 1/11 + 8/1.
Question 2.
Draw and label tape diagrams to model each decomposition.
a. 1 = \(\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}\)
Answer:
1 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6.
Explanation:
In the above-given question,
given that,
total there are 6 boxes.
the 6 boxes are filled.
1 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6.
b. \(\frac{4}{5}\) = \(\frac{1}{5}+\frac{2}{5}+\frac{1}{5}\)
Answer:
4/5 = 1/5 + 2/5 + 1/5.
Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 4 boxes are filled.
4/5 = 1/5 + 2/5 + 1/5.
c. \(\frac{7}{8}\) = \(\frac{3}{8}+\frac{3}{8}+\frac{1}{8}\)
Answer:
7/8 = 3/8 + 3/8 + 1/8.
Explanation:
In the above-given question,
given that,
total there are 8 boxes.
the 7 boxes are filled.
7/8 = 3/8 + 3/8 + 1/8.
d. \(\frac{11}{8}\) = \(\frac{7}{8}+\frac{1}{8}+\frac{3}{8}\)
Answer:
11/8 = 7/8 + 1/8 + 3/8.
Explanation:
In the above-given question,
given that,
total there are 11 boxes.
the 8 boxes are filled.
11/8 = 7/8 + 1/8 + 3/8.
e. \(\frac{12}{10}\) = \(\frac{6}{10}+\frac{4}{10}+\frac{2}{10}\)
Answer:
12/10 = 6/10 + 4/10 + 2/10.
Explanation:
In the above-given question,
given that,
total there are 12 boxes.
the 10 boxes are filled.
12/10 = 6/10 + 4/10 + 2/10.
f. \(\frac{15}{12}\) = \(\frac{8}{12}+\frac{3}{12}+\frac{4}{12}\)
Answer:
15/12 = 8/12 + 3/12 + 4/12.
Explanation:
In the above-given question,
given that,
total there are 15 boxes.
the 12 boxes are filled.
15/12 = 8/12 + 3/12 + 4/12.
g. 1\(\frac{2}{3}\) = 1 + \(\frac{2}{3}\)
Answer:
2/3 = 1 + 2/3.
Explanation:
In the above-given question,
given that,
total there are 3 boxes.
the 2 boxes are filled.
2/3 = 1 + 2/3.
h. 1\(\frac{5}{8}\) = 1 + \(\frac{1}{8}\) + \(\frac{1}{8}\) + \(\frac{3}{8}\)
Answer:
5/8 = 1 + 1/8 + 1/8 + 3/8.
Explanation:
In the above-given question,
given that,
total there are 8 boxes.
the 5 boxes are filled.
5/8 =1 + 1/8 + 1/8 + 3/8.
Eureka Math Grade 4 Module 5 Lesson 1 Exit Ticket Answer Key
Question 1.
Complete the number bond, and write the number sentence to match the tape diagram.
Answer:
1 = 1/4 + 1/4 + 1/4 + 1/4.
Explanation:
In the above-given question,
given that,
total there are 4 boxes.
the 4 boxes are filled.
1 = 1/4 + 1/4 + 1/4 + 1/4.
Question 2.
Draw and label tape diagrams to model each number sentence.
a. 1 = \(\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}\)
Answer:
1 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.
Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 5 boxes are filled.
1 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.
b. \(\frac{5}{6}\) = \(\frac{2}{6}+\frac{2}{6}+\frac{1}{6}\)
Answer:
5/6 = 2/6 + 2/6 + 1/6.
Explanation:
In the above-given question,
given that,
total there are 6 boxes.
the 5 boxes are filled.
5/6 = 2/6 + 2/6 + 1/6.
Eureka Math Grade 4 Module 5 Lesson 1 Homework Answer Key
Draw a number bond, and write the number sentence to match each tape diagram. The first one is done for you.
a. 
b. 
Answer:
2/4 = 1/4 + 1/4 .
Explanation:
In the above-given question,
given that,
total there are 4 boxes.
the 2 boxes are filled.
2/4 = 1/4 + 1/4 .
c. 
Answer:
3/5 = 1/5 + 2/5.
Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 3 boxes are filled.
3/5 = 1/5 + 2/5.
d. 
Answer:
6/7 = 3/7 + 2/7 + 1/7.
Explanation:
In the above-given question,
given that,
total there are 7 boxes.
the 6 boxes are filled.
6/7 = 3/7 + 2/7 + 1/7.
e. 
Answer:
3/8 = 2/8 + 1/8 .
Explanation:
In the above-given question,
given that,
total there are 8 boxes.
the 3 boxes are filled.
3/8 = 2/8 + 1/8.
f. 
Answer:
1 = 1/6 + 1/7.
Explanation:
In the above-given question,
given that,
total there are 7 boxes.
the 6 boxes are filled.
1 = 1/6 + 1/7.
g. 
Answer:
1 = 3/6 + 2/6 + 1/6.
Explanation:
In the above-given question,
given that,
total there are 6 boxes.
the 6 boxes are filled.
1 = 3/6 + 2/6 + 1/6.
h. 
Answer:
1 = 3/12 + 2/12 + 1/12 + 3/12 + 3/12.
Explanation:
In the above-given question,
given that,
total there are 12 boxes.
the 12 boxes are filled.
1 = 3/12 + 2/12 + 1/12 + 3/12 + 3/12.
Question 2.
Draw and label tape diagrams to match each number sentence.
a. \(\frac{5}{8}\) = \(\frac{2}{8}+\frac{2}{8}+\frac{1}{8}\)
Answer:
5/8 = 2/8 + 2/8 + 1/8.
Explanation:
In the above-given question,
given that,
total there are 8 boxes.
the 5 boxes are filled.
5/8 = 2/8 + 2/8 + 1/8.
b. \(\frac{12}{8}\) = \(\frac{6}{8}+\frac{2}{8}+\frac{4}{8}\)
Answer:
12/8 = 6/8 + 2/8 + 4/8.
Explanation:
In the above-given question,
given that,
total there are 12 boxes.
the 8 boxes are filled.
12/8 = 6/8 + 2/8 + 4/8.
c. \(\frac{11}{10}\) = \(\frac{5}{10}+\frac{5}{10}+\frac{1}{10}\)
Answer:
11/10 = 5/10 + 5/10 + 1/10.
Explanation:
In the above-given question,
given that,
total there are 11 boxes.
the 10 boxes are filled.
11/10 = 5/10 + 5/10 + 1/10.
d. \(\frac{13}{12}\) = \(\frac{7}{12}+\frac{1}{12}+\frac{5}{12}\)
Answer:
13/12 = 7/12 + 1/12 + 5/12.
Explanation:
In the above-given question,
given that,
total there are 13 boxes.
the 12 boxes are filled.
13/12 = 7/12 + 1/12 + 5/12.
e. 1\(\frac{1}{4}\) = 1 + \(\frac{1}{4}\)
Answer:
5/4 = 1 + 1/4.
Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 4 boxes are filled.
5/4 = 1 + 1/4.
f. 1\(\frac{2}{7}\) = 1 + \(\frac{2}{7}\)
Answer:
9/7 = 1 + 2/7.
Explanation:
In the above-given question,
given that,
total there are 9 boxes.
the 7 boxes are filled.
9/7 = 1 + 2/7.
