Read and Write Decimals - 5th Grade Math

1. What is $7.326$ written in expanded form using fractions?

   $7+ \frac{3}{10}+ \frac{2}{100}+ \frac{6}{1000}$. Each decimal place becomes a fraction with its place value.

2. What is $125$ thousandths written as a decimal using base-ten numerals?

   $0.125$. Thousandths means three decimal places.

3. What is the place value name of the digit $4$ in $12.4$?

   Tenths. The first digit after the decimal point is in the tenths place.

4. What decimal is written by the number name "zero and nineteen thousandths"?

   $0.019$. 19 thousandths means $\frac{19}{1000}$ or 0.019.

5. What decimal is written by the expanded form $5 + \frac{9}{100} + \frac{1}{1000}$?

   $5.091$. Add the fractions: $5 + 0.09 + 0.001 = 5.091$.

6. What is the value of the digit $6$ in $4.061$?

   $0.06$. $6$ is in hundredths place, so its value is $6 \times 0.01$.

7. What decimal is written by $\frac{7}{10}+\frac{3}{1000}$?

   $0.703$. Add the fractions: $\frac{7}{10} + \frac{3}{1000} = 0.7 + 0.003 = 0.703$.

8. What is the number name for the decimal $12.9$?

   Twelve and nine tenths. Read the whole part, "and", then the decimal part with its place value name.

9. What is the place value name of the digit $9$ in $6.309$?

   Thousandths. The third digit after the decimal point is in the thousandths place.

10. What is the expanded form of $2.406$?

    $2 + \frac{4}{10} + \frac{6}{1000}$. Shows each digit's place value: 2 ones, 4 tenths, 0 hundredths, 6 thousandths.

11. What is $\frac{7}{10}+\frac{4}{100}+\frac{9}{1000}$ written as a decimal?

    $0.749$. Convert each fraction to its decimal equivalent and add.

12. What decimal is written by the number name "six and three hundred five thousandths"?

    $6.305$. 305 thousandths means $\frac{305}{1000}$ or 0.305 after the decimal.

13. What is the place value name of the digit $9$ in $0.059$?

    Thousandths. The digit 9 is three places to the right of the decimal point.

14. Find and correct the error: $0.08$ is read as $8$ tenths.

    Correct: $0.08$ is $8$ hundredths. $8$ is in hundredths place (second decimal place).

15. What is the value of the digit $2$ in $15.203$?

    $0.2$. The digit 2 is in the tenths place, representing 2 tenths.

16. What is $12.050$ written in expanded form using fractions?

    $12 + \frac{0}{10} + \frac{5}{100} + \frac{0}{1000}$. Include zeros to show all place values to thousandths.

17. What is $0.409$ written in expanded form using fractions?

    $\frac{4}{10}+\frac{0}{100}+\frac{9}{1000}$. Zero in hundredths place still shown in expanded form.

18. What is the value of the digit $4$ in $0.034$?

    $0.004$. $4$ is in thousandths place, so its value is $4 \times 0.001$.

19. What decimal is written by the expanded form $3 + \frac{2}{10} + \frac{7}{100} + \frac{4}{1000}$?

    $3.274$. Add each place value: $3 + 0.2 + 0.07 + 0.004 = 3.274$.

20. What is the expanded form of $9.05$ using fractions?

    $9+\frac{5}{100}$. Skip the zero in tenths place; only write non-zero place values.

21. What is the place value name of the digit $1$ in $0.001$?

    Thousandths. The digit 1 is three places to the right of the decimal point.

22. What number name matches the decimal $7.300$?

    Seven and three tenths. 7.300 equals 7.3, with trailing zeros not changing the value.

23. Find and correct the error: $3.4$ is read as $3$ and $4$ hundredths.

    Correct: $3.4$ is $3$ and $4$ tenths. $4$ is in tenths place, not hundredths.

24. What is the value of the digit $2$ in $8.205$?

    $0.2$. $2$ is in tenths place, so its value is $2 \times 0.1$.

25. What is $6.308$ written in number names (word form) using place value?

    $6$ and $308$ thousandths. Read whole number, then decimal part as thousandths.

26. What is the base-ten numeral for the number name "three and forty-two thousandths"?

    $3.042$. "Forty-two thousandths" means $\frac{42}{1000} = 0.042$, plus 3 gives $3.042$.

27. What is the expanded form of $6.372$ using fractions?

    $6+\frac{3}{10}+\frac{7}{100}+\frac{2}{1000}$. Each digit is written as a fraction with its place value as the denominator.

28. What number name matches the decimal $0.250$?

    Two hundred fifty thousandths. 0.250 equals $\frac{250}{1000}$, read as a fraction of thousandths.

29. What is $5 + \frac{8}{10} + \frac{3}{100} + \frac{2}{1000}$ written as a decimal?

    $5.832$. Add fractions: $\frac{8}{10} + \frac{3}{100} + \frac{2}{1000} = 0.832$.

30. What decimal is written by $5+\frac{6}{100}$?

    $5.06$. Add: $5 + \frac{6}{100} = 5 + 0.06 = 5.06$.

31. What is the expanded form of $9.999$?

    $9 + \frac{9}{10} + \frac{9}{100} + \frac{9}{1000}$. Each 9 represents its place value from ones to thousandths.

32. What is the place value of the digit $5$ in $0.058$?

    The digit $5$ is in the hundredths place. Second place after decimal point is hundredths place.

33. What is the value of the digit $5$ in $0.205$?

    $0.005$. The digit 5 is in the thousandths place, representing 5 thousandths.

34. What is $2 + \frac{0}{10} + \frac{6}{100} + \frac{1}{1000}$ written as a decimal?

    $2.061$. Zero tenths shown; $\frac{6}{100} + \frac{1}{1000} = 0.061$.

35. What is the value of the digit $7$ in $3.472$?

    $0.07$. The digit 7 is in the hundredths place, representing 7 hundredths.

36. What decimal is written by $2+\frac{1}{10}+\frac{4}{100}+\frac{9}{1000}$?

    $2.149$. Add the whole number and fractions: $2 + 0.1 + 0.04 + 0.009 = 2.149$.

37. Identify the digit in the thousandths place in $2.615$.

    $5$. Count three places after the decimal point to find the thousandths digit.

38. What is the number name for the decimal $0.305$?

    Three hundred five thousandths. No whole part, so read the decimal digits followed by the last place value name.

39. What number name matches the decimal $4.018$?

    Four and eighteen thousandths. Read as 4 ones, 0 tenths, 1 hundredth, and 8 thousandths.

40. What number name matches $0.700$?

    Seven tenths. $0.700$ equals $\frac{7}{10}$, with trailing zeros not affecting value.

41. What decimal is written by the number name "twelve and forty thousandths"?

    $12.040$. 40 thousandths means $\frac{40}{1000}$ or 0.040 after the decimal.

42. What is the place value name of the digit $2$ in $8.62$?

    Hundredths. The second digit after the decimal point is in the hundredths place.

43. Find the decimal for the number name "zero and nine hundredths".

    $0.09$. "Nine hundredths" means $\frac{9}{100} = 0.09$.

44. What is the expanded form of $0.830$?

    $\frac{8}{10} + \frac{3}{100}$. 0.830 has 8 tenths and 3 hundredths (the trailing 0 doesn't add value).

45. What is the expanded form of $0.408$ using fractions?

    $\frac{4}{10}+\frac{8}{1000}$. Skip the zero in hundredths place; only write non-zero place values.

46. What is the number name for the decimal $4.018$?

    Four and eighteen thousandths. Read the whole part, then "and", then the decimal part with its place value name.

47. What is the expanded form of $10.052$?

    $10 + \frac{5}{100} + \frac{2}{1000}$. Shows 10 ones, 0 tenths, 5 hundredths, and 2 thousandths.

48. Identify the digit in the hundredths place in $14.268$.

    $6$. Count two places after the decimal point to find the hundredths digit.

49. What decimal is written by the expanded form $\frac{3}{10} + \frac{4}{1000}$?

    $0.304$. Add the fractions: $0.3 + 0.004 = 0.304$ (no hundredths digit).

50. What is $9$ and $6$ hundredths written as a decimal using base-ten numerals?

    $9.06$. $6$ hundredths = $0.06$; add to whole number $9$.

51. What is the place value of the digit $7$ in $3.472$?

    The digit $7$ is in the hundredths place. Count places right of decimal: tenths, hundredths, thousandths.

52. What is the place value of the digit $9$ in $12.309$?

    The digit $9$ is in the thousandths place. Third place after decimal point is thousandths place.

53. Identify the digit in the tenths place in $0.907$.

    $9$. The first digit after the decimal point is in the tenths place.

54. What is $0.905$ written in number names (word form) using place value?

    $905$ thousandths. No whole part; read all three decimal places as thousandths.

55. What is the place value name of the digit $6$ in $8.064$?

    Hundredths. The digit 6 is two places to the right of the decimal point.

56. What is $3$ and $47$ thousandths written as a decimal using base-ten numerals?

    $3.047$. $47$ thousandths = $0.047$; add to whole number $3$.

57. What is $14.070$ written in number names (word form) using place value?

    $14$ and $70$ thousandths. Read whole number, then decimal part as thousandths.

58. What is the base-ten numeral for the number name "seven and five hundred six thousandths"?

    $7.506$. "Five hundred six thousandths" means $\frac{506}{1000} = 0.506$, plus 7 gives $7.506$.

59. What is the value of the digit $5$ in $0.058$?

    $0.05$. The digit 5 is in the hundredths place, so its value is $5 \times 0.01 = 0.05$.

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