## Engage NY Eureka Math 4th Grade Module 6 Lesson 6 Answer Key

### Eureka Math Grade 4 Module 6 Lesson 6 Problem Set Answer Key

Question 1.
Shade the area models to represent the number, drawing horizontal lines to make hundredths as needed. Locate the corresponding point on the number line. Label with a point, and record the mixed number as a decimal.
a. 1$$\frac{15}{100}$$ = __1__ . _15___ 1 x 15/100 = 1.15.

Explanation:
In the above-given question,
given that,
1 x 15/100.
115/100.
1.15. b. 2$$\frac{47}{100}$$ = __2__ . __47__ 2 x 47/100 = 2.47.

Explanation:
In the above-given question,
given that,
2 x 47/100.
2 x 100 + 47.
247/100.
2.47. Question 2.
Estimate to locate the points on the number lines.
a. 2$$\frac{95}{100}$$ 2 x 95/100 = 2.95.

Explanation:
In the above-given question,
given that,
2 x 95/100.
295/100.
2.95. b. 7$$\frac{52}{100}$$ 7 x 52/100 = 7.52.

Explanation:
In the above-given question,
given that,
7 x 52/100.
752/100.
7.52. Question 3.
Write the equivalent fraction and decimal for each of the following numbers.
a. 1 one 2 hundredths
b. 1 one 17 hundredths
c. 2 ones 8 hundredths
d. 2 ones 27 hundredths
e. 4 ones 58 hundredths
f. 7 ones 70 hundredths

a.1$$\frac{2}{100}$$.

Explanation:
In the above-given question,
given that,
1 one 2 hundredths.
1 x 2/100.
202/100.
2.02.

b.1$$\frac{17}{100}$$.

Explanation:
In the above-given question,
given that,
1 one 17 hundredths.
1 x 17/100.
117/100.
1.17.

c.2$$\frac{8}{100}$$.

Explanation:
In the above-given question,
given that,
2 one 8 hundredths.
2 x 8/100.
208/100.
2.08.

d.2$$\frac{27}{100}$$.

Explanation:
In the above-given question,
given that,
2 one 27 hundredths.
2 x 27/100.
227/100.
2.27.

e.4$$\frac{58}{100}$$.

Explanation:
In the above-given question,
given that,
4 one 58 hundredths.
4 x 58/100.
458/100.
4.58.

f.7$$\frac{70}{100}$$.

Explanation:
In the above-given question,
given that,
7 one 70 hundredths.
7 x 70/100.
770/100.
7.70.

Question 4.
Draw lines from dot to dot to match the decimal form to both the unit form and fraction form. All unit forms and fractions have at least one match, and some have more than one match. a.7 ones 13 hundredths.

Explanation:
In the above-given question,
given that,
7 one 13 hundredths.
7 x 13/100.
713/100.
7.13.

b.7 ones 3 hundredths.

Explanation:
In the above-given question,
given that,
7 one 3 hundredths.
7 x 3/100.
73/100.
0.73.

c.7 ones 3 tenths.

Explanation:
In the above-given question,
given that,
7 one 3 tenths.
7 x 3/10.
73/10.
7.3.

d.7 tens 3 ones.

Explanation:
In the above-given question,
given that,
7 tens 3 ones.
7/10  x 3.
0.7 + 3. ### Eureka Math Grade 4 Module 6 Lesson 6 Exit Ticket Answer Key

Question 1.
Estimate to locate the points on the number lines. Mark the point, and label it as a decimal.
a. 7$$\frac{20}{100}$$ a.7 ones 20 hundredths.

Explanation:
In the above-given question,
given that,
7 one 20 hundredths.
7 x 20/100.
720/100.
7.20. b. 1$$\frac{75}{100}$$ a.1 ones 75 hundredths.

Explanation:
In the above-given question,
given that,
1 one 75 hundredths.
1 x 75/100.
175/100.
1.75. Question 2.
Write the equivalent fraction and decimal for each number.
a. 8 ones 24 hundredths
b. 2 ones 6 hundredths

a.8$$\frac{24}{100}$$.

Explanation:
In the above-given question,
given that,
8 one 24 hundredths.
8 x 24/100.
824/100.
8.24.

b.2$$\frac{6}{100}$$.

Explanation:
In the above-given question,
given that,
2 one 6 hundredths.
2 x 6/100.
206/100.
2.06.

### Eureka Math Grade 4 Module 6 Lesson 6 Homework Answer Key

Question 1.
Shade the area models to represent the number, drawing horizontal lines to make hundredths as needed. Locate the corresponding point on the number line. Label with a point, and record the mixed number as a decimal.
a. 2$$\frac{35}{100}$$ = __2_ . __35__ 2 x 35/100 = 2.35.

Explanation:
In the above-given question,
given that,
2 x 35/100.
2 x 100 + 35.
235/100.
2.35. b. 3$$\frac{17}{100}$$ = _3___ . __17__ 3 x 17/100 = 3.17.

Explanation:
In the above-given question,
given that,
3 x 17/100.
3 x 100 + 17.
317/100.
3.17.

Question 2.
Estimate to locate the points on the number lines.
a. 5$$\frac{90}{100}$$  b. 3$$\frac{25}{100}$$ 3 x 25/100 = 2.47.

Explanation:
In the above-given question,
given that,
3 x 25/100.
3 x 100 + 25.
325/100.
3.25. Question 3.
Write the equivalent fraction and decimal for each of the following numbers.
a. 2 ones 2 hundredths
b. 2 ones 16 hundredths
c. 3 ones 7 hundredths
d. 1 one 18 hundredths
e. 9 ones 62 hundredths
f. 6 ones 20 hundredths

a.2$$\frac{2}{100}$$.

Explanation:
In the above-given question,
given that,
2 one 2 hundredths.
2 x 2/100.
202/100.
2.02.

b.2$$\frac{16}{100}$$.

Explanation:
In the above-given question,
given that,
2 one 16 hundredths.
2 x 16/100.
216/100.
2.16.

c.3$$\frac{7}{100}$$.

Explanation:
In the above-given question,
given that,
3 one 7 hundredths.
3 x 7/100.
307/100.
3.07.

d.1$$\frac{18}{100}$$.

Explanation:
In the above-given question,
given that,
1 one 18 hundredths.
1 x 18/100.
118/100.
1.18.

e.9$$\frac{62}{100}$$.

Explanation:
In the above-given question,
given that,
9 one 62 hundredths.
9 x 62/100.
962/100.
9.62.

f.6$$\frac{20}{100}$$.

Explanation:
In the above-given question,
given that,
6 one 20 hundredths.
6 x 20/100.
620/100.
6.20.

Question 4.
Draw lines from dot to dot to match the decimal form to both the unit form and fraction form. All unit forms and fractions have at least one match, and some have more than one match. a.4 ones 18 hundredths.

Explanation:
In the above-given question,
given that,
4 one 18 hundredths.
4 x 18/100.
418/100.
4.18.

b.4 ones 8 hundredths.

Explanation:
In the above-given question,
given that,
4 one 8 hundredths.
4 x 8/100.
408/100.
4.08.

c.4 ones 8 tenths.

Explanation:
In the above-given question,
given that,
4 one 8 tenths.
4 x 8/10.
48/10.
4.8. 