Engage NY Eureka Math 4th Grade Module 6 Lesson 2 Answer Key
Eureka Math Grade 4 Module 6 Lesson 2 Problem Set Answer Key
Question 1.
For each length given below, draw a line segment to match. Express each measurement as an equivalent mixed number.
a. 2.6 cm
b. 3.4 cm
c. 3.7 cm
d. 4.2 cm
e. 2.5 cm
Answer:
a. decimal form = 2.6.
equivalent mixed number = 2\(\frac{6}{10}\) or 2\(\frac{3}{5}\)
Explanation:
In the above-given question,
given that,
2.6 = 2 x 6/10.
2 x 10/ 6 x 10 = 2/6.
b.decimal form = 3.4.
equivalent mixed number = 3 x 10/ 4 x 10.
Explanation:
In the above-given question,
given that,
3.4 = 3 x 4/10.
3 x 10/ 4 x 10 = 3/4.
c.decimal form = 3.7.
equivalent mixed number = 3 x 10/ 7 x 10.
Explanation:
In the above-given question,
given that,
3.7 = 3 x 7/10.
3 x 10/ 7 x 10 = 3/7.
d.decimal form = 4.2.
equivalent mixed number = 4 x 10/ 2 x 10.
Explanation:
In the above-given question,
given that,
4.2 = 4 x 2/10.
4 x 10/ 2 x 10 = 4/2.
e.decimal form = 2.5.
equivalent mixed number = 2 x 10/ 5 x 10.
Explanation:
In the above-given question,
given that,
2.5 = 2 x 5/10.
2 x 10/ 5 x 10 = 2/5.
Question 2.
Write the following as equivalent decimals. Then, model and rename the number as shown below.
a. 2 ones and 6 tenths = ___2.6_______
2\(\frac{6}{10}\) = 2 + \(\frac{6}{10}\) = 2 + 0.6 = 2.6
Answer:
2 + 0.6 = 2.6.
Explanation:
In the above-given question,
given that,
2 ones and 6 tenths.
2\(\frac{6}{10}\).
2 + \(\frac{6}{10}\).
2 + 0.6 = 2.6
b. 4 ones and 2 tenths = ____4.2______
Answer:
4 + 0.2 = 4.2.
Explanation:
In the above-given question,
given that,
4 ones and 2 tenths.
4\(\frac{2}{10}\).
4 + \(\frac{2}{10}\).
4 + 0.2 = 4.2.
c. 3\(\frac{4}{10}\) = ___3.4_____
Answer:
3 + 0.4 = 3.4.
Explanation:
In the above-given question,
given that,
3 ones and 4 tenths.
3\(\frac{4}{10}\).
3 + \(\frac{4}{10}\).
3 + 0.4 = 3.4.
d. 2\(\frac{5}{10}\) = ____2.5_____
How much more is needed to get to 5? _____2.5____________
Answer:
2 + 0.5 = 2.5.
Explanation:
In the above-given question,
given that,
2 ones and 5 tenths.
2\(\frac{5}{10}\).
2 + \(\frac{5}{10}\).
2 + 0.5 = 2.5.
2.5 + 2.5 = 5.0
e. \(\frac{37}{10}\) = ___3.7______
How much more is needed to get to 5? _____1.3____________
Answer:
37/10 = 3.7.
Explanation:
In the above-given question,
given that,
0 ones and 37 tenths.
0\(\frac{37}{10}\).
0 + \(\frac{37}{10}\).
0 + 3.7 = 3.7.
3.7 + 1.3 = 5.0
Eureka Math Grade 4 Module 6 Lesson 2 Exit Ticket Answer Key
Question 1.
For the length given below, draw a line segment to match. Express the measurement as an equivalent mixed number.
4.8 cm
Answer:
decimal form = 4.8.
equivalent mixed number = 4 x 10/ 8 x 10.
Explanation:
In the above-given question,
given that,
4.8 = 4 x 8/10.
4 x 10/ 8 x 10 = 4/8.
Question 2.
Write the following in decimal form and as a mixed number. Shade the area model to match.
a. 3 ones and 7 tenths = _____3.7_____ = __3 x 7/10.________
Answer:
3 + 0.7 = 3.7 = 3 x 7/10.
Explanation:
In the above-given question,
given that,
3 ones and 7 tenths.
3\(\frac{7}{10}\).
3 + \(\frac{7}{10}\).
3 + 0.7 = 3.7.
b. \(\frac{24}{10}\) = ___2.4_____ = ___24/10____
How much more is needed to get to 5? _______2.6__________
Answer:
0 + 2.4 = 2.4.
Explanation:
In the above-given question,
given that,
0 ones and 24 tenths.
0\(\frac{24}{10}\).
0 + \(\frac{24}{10}\).
0 + 2.4 = 2.4.
2.4 + 2.6 = 5.0
Eureka Math Grade 4 Module 6 Lesson 2 Homework Answer Key
Question 1.
For each length given below, draw a line segment to match. Express each measurement as an equivalent mixed number.
a. 2.6 cm
b. 3.5 cm
c. 1.7 cm
d. 4.3 cm
e. 2.2 cm
Answer:
a. decimal form = 2.6.
equivalent mixed number = 2 x 10/ 6 x 10.
Explanation:
In the above-given question,
given that,
2.6 = 2 x 6/10.
2 x 10/ 6 x 10 = 2/6.
Answer:
b. decimal form = 3.5.
equivalent mixed number = 3 x 10/ 5 x 10.
Explanation:
In the above-given question,
given that,
3.5 = 3 x 5/10.
3 x 10/ 5 x 10 = 3/5.
Answer:
c. decimal form = 1.7.
equivalent mixed number = 1 x 10/ 7 x 10.
Explanation:
In the above-given question,
given that,
1.7 = 1 x 7/10.
1 x 10/ 7 x 10 = 1/7.
Answer:
d. decimal form = 4.3.
equivalent mixed number = 4 x 10/ 3 x 10.
Explanation:
In the above-given question,
given that,
4.3 = 4 x 3/10.
4 x 10/ 3 x 10 = 4/3.
Answer:
e. decimal form = 2.2.
equivalent mixed number = 2 x 10/ 2 x 10.
Explanation:
In the above-given question,
given that,
2.2 = 2 x 2/10.
2 x 10/ 2 x 10 = 2/2.
Question 2.
Write the following in decimal form. Then, model and rename the number as shown below.
a. 2 ones and 4 tenths = ____2.4______
2\(\frac{4}{10}\) = 2 + \(\frac{4}{10}\) = 2 + 0.4 = 2.4
Answer:
2 + 0.4 = 2.4.
Explanation:
In the above-given question,
given that,
2 ones and 4 tenths.
2\(\frac{4}{10}\).
2 + \(\frac{4}{10}\).
2 + 0.4 = 2.4.
b. 3 ones and 8 tenths = ___3.8_______
Answer:
3 + 0.8 = 3.8.
Explanation:
In the above-given question,
given that,
3 ones and 8 tenths.
3\(\frac{8}{10}\).
3 + \(\frac{8}{10}\).
3 + 0.8 = 3.8.
c. 4\(\frac{1}{10}\) = ___4.1______
Answer:
4 + 0.1 = 4.1.
Explanation:
In the above-given question,
given that,
4 ones and 1 tenths.
4\(\frac{1}{10}\).
4 + \(\frac{1}{10}\).
4 + 0.1 = 4.1.
d. 1\(\frac{4}{10}\) = ___1.4____
How much more is needed to get to 5? ______3.6___________
Answer:
1 + 0.4 = 1.4.
Explanation:
In the above-given question,
given that,
1 one and 4 tenths.
1\(\frac{4}{10}\).
1 + \(\frac{4}{10}\).
1 + 0.4 = 1.4.
1.4 + 3.6 = 5.0
e. \(\frac{33}{10}\) = ___3.3______
How much more is needed to get to 5? ___1.7______________
Answer:
0 + 3.3 = 3.3.
Explanation:
In the above-given question,
given that,
0 ones and 33 tenths.
0\(\frac{33}{10}\).
0 + \(\frac{33}{10}\).
0 + 3.3 = 3.3.
3.3 + 1.7 = 5.0.
