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 _____________

Answer:

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 _____________

Answer:

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 _____________

Answer:

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. \(\frac{2}{10}\) = _______________

Answer:

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. \(\frac{6}{10}\) = _______________

Answer:

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. \(\frac{9}{10}\) = _______________

Answer:

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. \(\frac{4}{10}\) = _______________

Answer:

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. \(\frac{3}{10}\) = _______________

Answer:

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. \(\frac{1}{10}\) = _______________

Answer:

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. \(\frac{8}{10}\) = _______________

Answer:

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. \(\frac{5}{10}\) = _______________

Answer:

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.

Answer:

Explanation:

Given,

\(\frac{2}{10}\) and 0.8

When we observe the number line,

Each whole is divided into 10 parts.

So, locate the given values on a number line, as shown above.