Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 4 Lesson 4.10 Changing Fractions to Decimals regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 4 Lesson 4.10 Changing Fractions to Decimals Answers Key
Change \(\frac{1}{5}\) to tenths.
\(\frac{1}{5}\) = \(\frac{1 \times 2}{5 \times 2}\) = \(\frac{2}{10}\) = 0.2
Change 4 to hundredths.
\(\frac{1}{4}\) = \(\frac{1}{4} \frac{\times 25}{\times 25}\) = \(\frac{25}{100}\) = 0.25
Change \(\frac{1}{5}\) to hundredths.
\(\frac{1}{5}\) = \(\frac{1 \times 20}{5 \times 20}\) = \(\frac{20}{100}\) = 0.20
Change 3\(\frac{1}{250}\) to thousandths.
3\(\frac{1}{250}\) = 3\(\frac{1 \times 4}{250 \times 4}\) = 3\(\frac{4}{1000}\) = 3.004
Change each of the following to a decimal as indicated.
Question 1.
a. Change \(\frac{2}{5}\) to tenths.
_____________
Answer:
\(\frac{2}{5}\) to tenths is \(\frac{4}{10}\) or 0.4.
Explanation:
\(\frac{2}{5}\) to tenths
=> 5 × 2times = 10.
\(\frac{2}{5}\) × \(\frac{2}{2}\)
= \(\frac{4}{10}\)
= 0.4.
b. Change \(\frac{2}{5}\) to hundredths.
_____________
Answer:
\(\frac{2}{5}\) to hundredths is \(\frac{40}{100}\) or 0.40.
Explanation:
\(\frac{2}{5}\) to hundredths
=> 5 × 20times = 100.
\(\frac{2}{5}\) × \(\frac{20}{20}\)
= \(\frac{40}{100}\)
= 0.40.
c. Change \(\frac{2}{5}\) to thousandths.
_____________
Answer:
\(\frac{2}{5}\) to thousandths is \(\frac{400}{1000}\) or 0.400.
Explanation:
\(\frac{2}{5}\) to thousandths.
=> 5 × 200 times = 1000.
\(\frac{2}{5}\) × \(\frac{200}{200\)
= \(\frac{400}{1000}\)
= 0.400.
Question 2.
a. Change 3\(\frac{1}{2}\) to tenths.
_____________
Answer:
3\(\frac{1}{2}\) to tenths is \(\frac{35}{10}\) or 3.5.
Explanation:
3\(\frac{1}{2}\) = {[(3 × 2) + 1] ÷ 2
= [(6 + 1) ÷ 2]
= 7÷ 2
= \(\frac{7}{2}\) to tenths
=> 2 × 5 times = 10.
\(\frac{7}{2}\) × \(\frac{5}{5}\)
= \(\frac{35}{10}\)
= 3.5.
b. Change \(\frac{3}{25}\) to hundredths.
_____________
Answer:
\(\frac{3}{25}\) to hundredths is \(\frac{12}{100}\) or 0.12.
Explanation:
\(\frac{3}{25}\) to hundredths
=> 25 × 4times = 100.
\(\frac{3}{25}\) × \(\frac{4}{4}\)
= \(\frac{12}{100}\)
= 0.12.
c. Change \(\frac{17}{25}\) to thousandths.
_____________
Answer:
\(\frac{17}{25}\) to thousandths is \(\frac{680}{1000}\) or 0.680.
Explanation:
\(\frac{17}{25}\) to thousandths
=25 × 40times = 1000.
\(\frac{17}{25}\) × \(\frac{40}{40}\)
= \(\frac{680}{1000}\)
= 0.680.
Question 3.
a. Change 2\(\frac{3}{5}\) to tenths.
_____________
Answer:
2\(\frac{3}{5}\) to tenths is \(\frac{26{10}\) or 2.6.
Explanation:
2\(\frac{3}{5}\) to tenths
= {[(2 × 5) + 3] ÷ 5}
= [(10 + 3) ÷ 5]
= 13 ÷ 5
= \(\frac{13}{5}\)
=> 5 × 2times = 10.
\(\frac{13}{5}\) × \(\frac{2}{2}\)
= \(\frac{26{10}\)
= 2.6.
b. Change \(\frac{9}{20}\) to hundredths.
_____________
Answer:
\(\frac{9}{20}\) to hundredths is \(\frac{45}{100}\) or 0.45.
Explanation:
\(\frac{9}{20}\) to hundredths
=> 20 × 5times = 100.
\(\frac{9}{20}\) × \(\frac{5}{5}\)
= \(\frac{45}{100}\)
= 0.45.
c. Change \(\frac{29}{250}\) to thousandths.
_____________
Answer:
\(\frac{29}{250}\) to thousandths is \(\frac{116}{1000}\) or 0.116
Explanation:
\(\frac{29}{250}\) to thousandths
=> 250 × 4times = 1000.
\(\frac{29}{250}\) × \(\frac{4}{4}\)
= \(\frac{116}{1000}\)
= 0.116
Question 4.
a. Change 2\(\frac{1}{5}\) to tenths.
_____________
Answer:
2\(\frac{1}{5}\) to tenths is \(\frac{22}{10}\) or 2.2.
Explanation:
2\(\frac{1}{5}\) to tenths
= {[(2 × 5) + 1] ÷ 5}
= [(10 + 1) ÷ 5]
= (11 ÷ 5)
= \(\frac{11}{5}\)
=> 5 × 2times = 10.
\(\frac{11}{5}\) × \(\frac{2}{2}\)
= \(\frac{22}{10}\)
= 2.2.
b. Change \(\frac{17}{50}\) to hundredths.
_____________
Answer:
\(\frac{17}{50}\) to hundredths is \(\frac{34}{100}\) or 0.34.
Explanation:
\(\frac{17}{50}\) to hundredths
=> 50 × 2times = 100.
\(\frac{17}{50}\) × \(\frac{2}{2}\)
= \(\frac{34}{100}\)
= 0.34.
c. Change 1\(\frac{27}{100}\) to thousandths.
_____________
Answer:
1\(\frac{27}{100}\) to thousandths is \(\frac{1270}{1000}\) or 1.27.
Explanation:
1\(\frac{27}{100}\) to thousandths
= {[(1 × 100) + 27] ÷ 100}
= [(100 + 27) ÷ 100]
= (127 ÷ 100)
= \(\frac{127}{100}\)
=> 100 × 10times = 1000.
\(\frac{127}{100}\) × \(\frac{10}{10}\)
= \(\frac{1270}{1000}\)
= 1.27
Question 5.
a. Change \(\frac{4}{5}\) to tenths.
_____________
Answer:
\(\frac{4}{5}\) to tenths is \(\frac{8}{10}\) or 0.8.
Explanation:
\(\frac{4}{5}\) to tenths
=> 5 × 2times = 10.
\(\frac{4}{5}\) × \(\frac{2}{2}\)
= \(\frac{8}{10}\)
= 0.8.
b. Change \(\frac{3}{4}\) to hundredths.
_____________
Answer:
\(\frac{3}{4}\) to hundredths is \(\frac{75}{100}\) or 0.75.
Explanation:
\(\frac{3}{4}\) to hundredths
=> 4 × 25 = 100.
\(\frac{3}{4}\) × \(\frac{25}{25}\)
= \(\frac{75}{100}\)
= 0.75.
c. Change \(\frac{3}{40}\) to thousandths.
_____________
Answer:
\(\frac{3}{40}\) to thousandths is \(\frac{75}{1000}\) or 0.075.
Explanation:
\(\frac{3}{40}\) to thousandths
=> 40 × 25times = 1000.
\(\frac{3}{40}\) × \(\frac{25}{25}\)
= \(\frac{75}{1000}\)
= 0.075.
Question 6.
a. Change 7\(\frac{1}{2}\) to tenths.
_____________
Answer:
7\(\frac{1}{2}\) to tenths is \(\frac{30}{10}\) or 3.0
Explanation:
7\(\frac{1}{2}\) to tenths
= {[(7 × 2) + 1] ÷ 2}
= [(14 + 1) ÷ 2]
= (15 ÷ 2)
= \(\frac{15}{2}\)
=> 2 × 5times = 10.
\(\frac{15}{2}\) × \(\frac{2}{2}\)
= \(\frac{30}{10}\)
= 3.0
b. Change 2\(\frac{3}{10}\) to hundredths.
_____________
Answer:
2\(\frac{3}{10}\) to hundredths is \(\frac{230}{100}\) or 2.30.
Explanation:
2\(\frac{3}{10}\) to hundredths
={[(2 × 10) + 3] ÷ 10}
= [(20 + 3) ÷ 10]
= (23 ÷ 10)
=> 10 × 10 = 100.
\(\frac{23}{10}\) × \(\frac{10}{10}\)
= \(\frac{230}{100}\)
= 2.30.
c. Change \(\frac{7}{125}\) to thousandths.
_____________
Answer:
\(\frac{7}{125}\) to thousandths is \(\frac{56}{1000}\) or 0.056.
Explanation:
\(\frac{7}{125}\) to thousandths
=> 125 × 8times = 1000.
\(\frac{7}{125}\) × \(\frac{8}{8}\)
= \(\frac{56}{1000}\)
= 0.056.