Chapter 12: Chapter review
40 questions · with revealable worked answers
How many tenths must be added to 0.3 to make one whole?
Show answer and reasoning
One whole is 10 tenths. Subtract 3 from 10 to find the missing parts.
On a number line from 0 to 1 divided into ten equal intervals, what decimal is at the 8th tick after 0?
Show answer and reasoning
Each interval is 0.1, so add 8 tenths to 0 to get 0.8.
Write 14/100 as a two-decimal-place number.
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14 hundredths are 0.14.
Rename 0.6 as hundredths and write the equivalent decimal to two places.
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Every tenth is ten hundredths; multiply the count by ten.
Write 0.14 as a fraction in simplest form.
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0.14 = 14/100. Reduce by the common factor 2 to 7/50.
Write 18/25 as a decimal.
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Rename 18/25 in tenths or hundredths (or divide numerator by denominator) to get 0.72.
Insert <, > or =: 0.63 ___ 0.91.
Show answer and reasoning
Compare 63 hundredths and 91 hundredths; 0.63 is less relative to 0.91.
Round 6.31 to the nearest tenth.
Show answer and reasoning
Use the two neighboring nearest tenth benchmarks, identify their midpoint, and round the original number 6.31 directly.
Write 4/10 as a decimal and explain its tenths digit.
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4 equal tenths of the same whole are written 0.4.
On a number line from 5 to 6 divided into ten equal intervals, what decimal is at the 2nd tick after 5?
Show answer and reasoning
Each interval is 0.1, so add 2 tenths to 5 to get 5.2.
Write 70/100 as a two-decimal-place number.
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70 hundredths are 0.70.
How many hundredths are in 2 tenths?
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Each tenth consists of 10 hundredths; 2×10=20.
Write 0.09 as a fraction in simplest form.
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0.09 = 9/100. Reduce by the common factor 1 to 9/100.
Write 3/4 as a decimal.
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Rename 3/4 in tenths or hundredths (or divide numerator by denominator) to get 0.75.
Insert <, > or =: 0.76 ___ 0.41.
Show answer and reasoning
Compare 76 hundredths and 41 hundredths; 0.76 is greater relative to 0.41.
Round 1.15 to the nearest tenth.
Show answer and reasoning
Use the two neighboring nearest tenth benchmarks, identify their midpoint, and round the original number 1.15 directly.
How many tenths must be added to 0.6 to make one whole?
Show answer and reasoning
One whole is 10 tenths. Subtract 6 from 10 to find the missing parts.
On a number line from 3 to 4 divided into ten equal intervals, what decimal is at the 6th tick after 3?
Show answer and reasoning
Each interval is 0.1, so add 6 tenths to 3 to get 3.6.
Write 65/100 as a two-decimal-place number.
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65 hundredths are 0.65.
Rename 0.8 as hundredths and write the equivalent decimal to two places.
Show answer and reasoning
Every tenth is ten hundredths; multiply the count by ten.
Write 0.76 as a fraction in simplest form.
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0.76 = 76/100. Reduce by the common factor 4 to 19/25.
Write 1/2 as a decimal.
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Rename 1/2 in tenths or hundredths (or divide numerator by denominator) to get 0.5.
Insert <, > or =: 0.49 ___ 0.39.
Show answer and reasoning
Compare 49 hundredths and 39 hundredths; 0.49 is greater relative to 0.39.
Round 2.33 to the nearest whole number.
Show answer and reasoning
Use the two neighboring nearest whole number benchmarks, identify their midpoint, and round the original number 2.33 directly.
How many tenths must be added to 0.4 to make one whole?
Show answer and reasoning
One whole is 10 tenths. Subtract 4 from 10 to find the missing parts.
On a number line from 3 to 4 divided into ten equal intervals, what decimal is at the 1st tick after 3?
Show answer and reasoning
Each interval is 0.1, so add 1 tenths to 3 to get 3.1.
Write 23/100 as a two-decimal-place number.
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23 hundredths are 0.23.
Rename 0.4 as hundredths and write the equivalent decimal to two places.
Show answer and reasoning
Every tenth is ten hundredths; multiply the count by ten.
Write 0.42 as a fraction in simplest form.
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0.42 = 42/100. Reduce by the common factor 2 to 21/50.
Write 3/5 as a decimal.
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Rename 3/5 in tenths or hundredths (or divide numerator by denominator) to get 0.6.
Insert <, > or =: 0.85 ___ 0.14.
Show answer and reasoning
Compare 85 hundredths and 14 hundredths; 0.85 is greater relative to 0.14.
Round 1.60 to the nearest whole number.
Show answer and reasoning
Use the two neighboring nearest whole number benchmarks, identify their midpoint, and round the original number 1.60 directly.
Write 3/10 as a decimal and explain its tenths digit. Explain how place value or a model can check your result.
Show answer and reasoning
3 equal tenths of the same whole are written 0.3. A correct explanation should name the relevant fractional place values and verify the answer.
On a number line from 4 to 5 divided into ten equal intervals, what decimal is at the 7th tick after 4? Explain how place value or a model can check your result.
Show answer and reasoning
Each interval is 0.1, so add 7 tenths to 4 to get 4.7. A correct explanation should name the relevant fractional place values and verify the answer.
Write 88/100 as a two-decimal-place number. Explain how place value or a model can check your result.
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88 hundredths are 0.88. A correct explanation should name the relevant fractional place values and verify the answer.
How many hundredths are in 1 tenth? Explain how place value or a model can check your result.
Show answer and reasoning
Each tenth consists of 10 hundredths; 1×10=10. A correct explanation should name the relevant fractional place values and verify the answer.
Write 0.22 as a fraction in simplest form. Explain how place value or a model can check your result.
Show answer and reasoning
0.22 = 22/100. Reduce by the common factor 2 to 11/50. A correct explanation should name the relevant fractional place values and verify the answer.
Write 3/4 as a decimal. Explain how place value or a model can check your result.
Show answer and reasoning
Rename 3/4 in tenths or hundredths (or divide numerator by denominator) to get 0.75. A correct explanation should name the relevant fractional place values and verify the answer.
Order 0.63, 0.77, and 0.17 from least to greatest. Explain how place value or a model can check your result.
Show answer and reasoning
Convert all to hundredths and sort the integer counts. A correct explanation should name the relevant fractional place values and verify the answer.
Round 8.93 to the nearest whole number. Explain how place value or a model can check your result.
Show answer and reasoning
Use the two neighboring nearest whole number benchmarks, identify their midpoint, and round the original number 8.93 directly. A correct explanation should name the relevant fractional place values and verify the answer.