# Spectrum Math Grade 4 Chapter 6 Lesson 8 Answer Key Understanding Decimals to Tenths

This handy Spectrum Math Grade 4 Answer Key Chapter 6 Lesson 6.8 Understanding Decimals to Tenths provides detailed answers for the workbook questions.

## Spectrum Math Grade 4 Chapter 6 Lesson 6.8 Understanding Decimals to Tenths Answers Key

$$\frac{4}{10}$$ of the box is shaded.
$$\frac{6}{10}$$ of the box is unshaded.

$$\frac{4}{10}$$ = four tenths = 0.4
$$\frac{6}{10}$$ = six tenths = 0.6
Locate on a number line.

Write the decimal and fraction for the shaded portion of each box.

Question 1.
a.

____________ or _____________
0.3 or $$\frac{3}{10}$$

Explanation:
With reference to the above given figure,
the whole is divided into 10 parts, out of which 3 parts are shaded.
So, $$\frac{3}{10}$$ of the box is shaded.
$$\frac{3}{10}$$ = three tenths = 0.3

b.

____________ or _____________
0.7 or $$\frac{7}{10}$$

Explanation:
With reference to the above given figure,
the whole is divided into 10 parts, out of which 7 parts are shaded.
So, $$\frac{7}{10}$$ of the box is shaded.
$$\frac{7}{10}$$ = seven tenths = 0.7

c.

____________ or _____________
0.2 or $$\frac{2}{10}$$

Explanation:
With reference to the above given figure,
the whole is divided into 10 parts, out of which 2 parts are shaded.
So, $$\frac{2}{10}$$ of the box is shaded.
$$\frac{2}{10}$$ = two tenths = 0.2

Write the decimal equivalent to the given fraction.

Question 2.
a. $$\frac{2}{10}$$ = _______________
0.2

Explanation:
To find the decimal equivalent of a fraction,
divide the numerator by the denominator.
Because the number in the numerator is smaller than the number in the denominator, so place the decimal number over its place value.
Therefore, $$\frac{2}{10}$$ = 0.2

b. $$\frac{6}{10}$$ = _______________
0.6

Explanation:
To find the decimal equivalent of a fraction,
divide the numerator by the denominator.
Because the number in the numerator is smaller than the number in the denominator, so place the decimal number over its place value.
Therefore, $$\frac{6}{10}$$ = 0.6

c. $$\frac{9}{10}$$ = _______________
0.9

Explanation:
To find the decimal equivalent of a fraction,
divide the numerator by the denominator.
Because the number in the numerator is smaller than the number in the denominator, so place the decimal number over its place value.
Therefore, $$\frac{9}{10}$$ = 0.9

d. $$\frac{4}{10}$$ = _______________
0.4

Explanation:
To find the decimal equivalent of a fraction,
divide the numerator by the denominator.
Because the number in the numerator is smaller than the number in the denominator, so place the decimal number over its place value.
Therefore, $$\frac{4}{10}$$ = 0.4

Question 3.
a. $$\frac{3}{10}$$ = _______________
0.3

Explanation:
To find the decimal equivalent of a fraction,
divide the numerator by the denominator.
Because the number in the numerator is smaller than the number in the denominator, so place the decimal number over its place value.
Therefore, $$\frac{3}{10}$$ = 0.3

b. $$\frac{1}{10}$$ = _______________
0.1

Explanation:
To find the decimal equivalent of a fraction,
divide the numerator by the denominator.
Because the number in the numerator is smaller than the number in the denominator, so place the decimal number over its place value.
Therefore, $$\frac{1}{10}$$ = 0.1

c. $$\frac{8}{10}$$ = _______________
0.8

Explanation:
To find the decimal equivalent of a fraction,
divide the numerator by the denominator.
Because the number in the numerator is smaller than the number in the denominator, so place the decimal number over its place value.
Therefore, $$\frac{8}{10}$$ = 0.8

d. $$\frac{5}{10}$$ = _______________
0.5

Explanation:
To find the decimal equivalent of a fraction,
divide the numerator by the denominator.
Because the number in the numerator is smaller than the number in the denominator, so place the decimal number over its place value.
Therefore, $$\frac{5}{10}$$ = 0.5

Locate $$\frac{2}{10}$$ and 0.8 on the number line.

Question 4.

$$\frac{2}{10}$$ and 0.8