Eureka Math Grade 4 Module 6 Mid Module Assessment Answer Key

Engage NY Eureka Math 4th Grade Module 6 Mid Module Assessment Answer Key

Eureka Math Grade 4 Module 6 Mid Module Assessment Task Answer Key

Question 1.
Write the following fractions as equivalent decimals. Then, model each decimal with the given representation.
a. \(\frac{2}{10}\) = ___0.2___
Engage NY Math 4th Grade Module 6 Mid Module Assessment Answer Key 1

Answer:
2/10 = 0.2.

Explanation:
In the above-given question,
given that,
\(\frac{2}{10}\).
2/10 = 0.2.
Eureka-Math-Grade-4-Module-6-Lesson-17-Answer Key-1

b. \(\frac{3}{100}\) = __0.03____
Engage NY Math 4th Grade Module 6 Mid Module Assessment Answer Key 2

Answer:
3/100 = 0.03.

Explanation:
In the above-given question,
given that,
\(\frac{3}{100}\).
3/100 = 0.03.
Eureka-Math-Grade-4-Module-6-Lesson-17-Answer Key-2

c. \(\frac{4}{10}\) = ___0.4___
Engage NY Math 4th Grade Module 6 Mid Module Assessment Answer Key 3

Answer:
4/10 = 0.4.

Explanation:
In the above-given question,
given that,
\(\frac{4}{10}\).
4/10 = 0.4.

d. \(\frac{46}{100}\) = ___0.46___
Engage NY Math 4th Grade Module 6 Mid Module Assessment Answer Key 4

Answer:
46/100 = 0.46.

Explanation:
In the above-given question,
given that,
\(\frac{46}{100}\).
46/100 = 0.46.
Eureka-Math-Grade-4-Module-6-Lesson-17-Answer Key-3

e. 7\(\frac{6}{10}\) = __7.6____
Engage NY Math 4th Grade Module 6 Mid Module Assessment Answer Key 5

Answer:
7 + 6/10 = 7.6.

Explanation:
In the above-given question,
given that,
7\(\frac{6}{10}\).
7 + 6/10 = 7.6.
Eureka-Math-Grade-4-Module-6-Lesson-17-Answer Key-4

f. 3\(\frac{64}{100}\) = __3.64___
Engage NY Math 4th Grade Module 6 Mid Module Assessment Answer Key 6

Answer:
364/100 = 3.64.

Explanation:
In the above-given question,
given that,
\(\frac{364}{100}\).
364/100 = 3.64.
Eureka-Math-Grade-4-Module-6-Lesson-17-Answer Key-5

g. 4\(\frac{7}{10}\) = ___4.7___
Engage NY Math 4th Grade Module 6 Mid Module Assessment Answer Key 7

Answer:
47/10 = 4.7.

Explanation:
In the above-given question,
given that,
\(\frac{47}{10}\).
47/10 = 4.7.
Eureka-Math-Grade-4-Module-6-Lesson-17-Answer Key-6

h. 5\(\frac{72}{100}\) = _5.72____
Engage NY Math 4th Grade Module 6 Mid Module Assessment Answer Key 8

Answer:
572/100 = 5.72.

Explanation:
In the above-given question,
given that,
\(\frac{572}{100}\).
572/100 = 5.72.
Eureka-Math-Grade-4-Module-6-Lesson-17-Answer Key-7

Question 2.
Decompose tenths into hundredths using the area model. Express the equivalence of tenths and hundredths with fractions and with decimals.
a. 3 tenths
Engage NY Math 4th Grade Module 6 Mid Module Assessment Answer Key 9

Answer:
3 tenths = 0.3.

Explanation:
In the above-given question,
given that,
3 tenths = 3/10.
3/10 = 0.3.
Eureka-Math-Grade-4-Module-6-Lesson-17-Answer Key-8

b. 1 and 7 tenths
Engage NY Math 4th Grade Module 6 Mid Module Assessment Answer Key 10

Answer:
1 and 7 tenths = 1.7.

Explanation:
In the above-given question,
given that,
1 and 7 tenths = 1 + 7/10.
7/10 = 0.7.
1 + 0.7 = 1.7.
Eureka-Math-Grade-4-Module-6-Lesson-17-Answer Key-9

Question 3.
Use number bonds to complete parts (a) and (b) below:
a. Decompose 3.24 by units.
b. Compose 0.03, 0.5, and 2 as one decimal number.

Answer:
a. 3 hundred, 2 tens and 4 ones.

Explanation:
In the above-given question,
given that,
Decompose 3.24 by units.
3.24 = 3 hundreds.
2 tens and 4 ones.

Answer:
b. 0.03, 0.5, 2 = 2.53.

Explanation:
In the above-given question,
given that,
compose 0.03 + 0.5 + 2 as one decimal number.
0.03 + 0.5 + 2 = 253.

Question 4.
Model the following equivalence on the place value chart using place value disks.
20 hundredths = 2 tenths
Engage NY Math 4th Grade Module 6 Mid Module Assessment Answer Key 11

Answer:
20 hundredths = 2 tenths.

Explanation:
In the above-given question,
given that,
20 hundredths = 20/100.
20/100 = 2/10.
2/10 = 0.2.
2 tenths = 2/10 = 0.2.
Eureka-Math-Grade-4-Module-6-Lesson-17-Answer Key-10

Question 5.
Complete the following chart.

 

Unit Form

Fraction Fraction Expanded Form Decimal Expanded Form

Decimal

a. 1 tenth 6 hundredths 1\(\frac{6}{100}\) (1 × 10) + (6 × 1) + (1 ×\(\frac{1}{10}\) ) + (6 × \(\frac{1}{100}\)) (1 10) + (6 1) + (1 0.06) 16.06
b. 2 tenth 7 hundredths 2\(\frac{7}{10}\) (2 × 10) + (7 × 1) + (2 ×\(\frac{2}{10}\) ) + (7 × \(\frac{7}{100}\)) (2 10) + (6 1) + (2 0.01) 26.02
c. 6 hundredths 3 tenths 4 ones 6\(\frac{3}{10}\) (3 × 10) + (4 × 1) + (4 ×\(\frac{3}{10}\) ) + (4 × \(\frac{6}{100}\)) (3 10) + (4 1) + (4 0.03) 38.03
d. 5 hundredths 6 tenths 1 one 1\(\frac{5}{10}\)  (6 × 10) + (1 × 1) + (6 ×\(\frac{5}{10}\) ) + (1 × \(\frac{5}{100}\)) (1 10) + (6 1) + (5 0.01) 16.05
e. 8 hundredths 2 tenths 3 ones 3\(\frac{2}{10}\) (2 × 10) + (3 × 1) + (7 ×\(\frac{1}{10}\) ) + (8 × \(\frac{1}{100}\)) (2 10) + (3 1) + (8 0.01) 23.08

Answer:
1 tenth 6 hundredths.

Explanation:
In the above-given question,
given that,
1 tenth and 6 hundredths.
1\(\frac{6}{100}\).
16.06.

Answer:
2 tenths 7 hundredths.

Explanation:
In the above-given question,
given that,
2\(\frac{7}{100}\).
26.02.

Question 6.
Maya puts groceries into bags. The items and their weights in kilograms are given below.
Engage NY Math 4th Grade Module 6 Mid Module Assessment Answer Key 12
a. Plot the weight in kilograms of each item on the number line below.
Engage NY Math 4th Grade Module 6 Mid Module Assessment Answer Key 13

Answer:
0.25, 0.34, 0.56, 0.25, 0.56, 0.34.

Explanation:
In the above-given question,
given that,
bread = 0.25.
bananas = 0.35.
cheese = 0.56.
carrots = 25/100 = 0.25.
grapes = 56/100 = 0.56.
eggs = 34/100 = 0.34.
Eureka-Math-Grade-4-Module-6-Lesson-17-Answer Key-11

b. Write a number sentence using decimals to record the weight in kilograms of the bananas in expanded form.

Answer:
(3 × 10) + (5 × 1) + ( ×\(\frac{3}{10}\) ) + ( × \(\frac{5}{100}\))

Explanation:
In the above-given question,
given that,
bananas = 0.35.
35/100 = 0.35.

c. Write a number sentence using fractions to record the weight in kilograms of the grapes in expanded form.

Answer:
(5 × 10) + (6 × 1) + ( ×\(\frac{5}{10}\) ) + ( × \(\frac{6}{100}\))

Explanation:
In the above-given question,
given that,
grapes = 0.56.
56/100 = 0.56.

Maya packs the eggs and cheese into one of the bags. Together, these items weigh \(\frac{90}{100}\) kilogram.
d. Use the area model to show that \(\frac{90}{100}\) can be renamed as tenths.
Engage NY Math 4th Grade Module 6 Mid Module Assessment Answer Key 14

Answer:
90/100 = 0.9.

Explanation:
In the above-given question,
given that,
90/100 = 9/10.
zero gets canceled on both sides.
9/10 = 0.9.

e. Use division to show how \(\frac{90}{100}\) can be renamed as tenths.

Answer:
90/100 = 0.9.

Explanation:
In the above-given question,
given that,
90/100 = 9/10.
zero gets canceled on both sides.
9/10 = 0.9.

Maya places the bread into the bag with the eggs and cheese. Together, all three items weigh 1 and 15 hundredths kilograms.
f. Use a model and words to explain how 1 and 15 hundredths can be written as a decimal and as a fraction.

Answer:
1 + 15/100 = 115/100.

Explanation:
In the above-given question,
given that,
115/100 = 115/100.
zero gets canceled on both sides.
115/100 = 1.15.

Maya put the rest of the groceries in a second bag. The items in both bags weigh a total of 2\(\frac{30}{100}\) kilograms.
g. Using a model and words, explain how many tenths are in 2\(\frac{30}{100}\).

Answer:
2 + 30/100 = 2.3

Explanation:
In the above-given question,
given that,
2\(\frac{30}{100}\).
230/100 = 23/10.
zero gets canceled on both sides.
23/10 = 2.3

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