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

Spectrum Math Grade 4 Chapter 6 Lesson 8 Answer Key Understanding Decimals to Tenths 1

\(\frac{4}{10}\) 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.
Spectrum Math Grade 4 Chapter 6 Lesson 8 Answer Key Understanding Decimals to Tenths 2

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

Question 1.
a.
Spectrum Math Grade 4 Chapter 6 Lesson 8 Answer Key Understanding Decimals to Tenths 3
____________ 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.
Spectrum Math Grade 4 Chapter 6 Lesson 8 Answer Key Understanding Decimals to Tenths 4
____________ 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.
Spectrum Math Grade 4 Chapter 6 Lesson 8 Answer Key Understanding Decimals to Tenths 5
____________ 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.
Spectrum Math Grade 4 Chapter 6 Lesson 8 Answer Key Understanding Decimals to Tenths 6
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.

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