Understand Decimal Place Value Relationships - 5th Grade Math

1. What is the value of the digit $4$ in $3.047$?

   $\frac{4}{100}$. The 4 is in the hundredths place.

2. What number is $\frac{1}{10}$ of the value of the digit $9$ in 9{,}0\text{__}1 (digit $9$ in thousands place)?

   $900$. Move $9$ one place right from thousands to hundreds.

3. Which is greater: the value of the digit $6$ in $0.6$ or in $0.06$?

   In $0.6$ (it is $10$ times the value in $0.06$). Tenths place is $10$ times hundredths place.

4. What is the place-value rule for moving one place to the right in a multi-digit number?

   Divide by $10$ (value becomes $\frac{1}{10}$ as much). Each place to the right represents 1/10 the value of the place to its left.

5. In $6,540$, how many times greater is the value of the $5$ than the value of the $4$?

   $10$. 5 is in hundreds place (500), 4 is in tens place (40); $500 div 40 = 10$.

6. In $0.56$, how many times greater is the value of the $5$ than the value of the $6$?

   $10$. 5 is in tenths place, 6 is in hundredths place; tenths are 10× hundredths.

7. What number is $10$ times as much as $0.36$?

   $3.6$. Multiplying by 10 moves the decimal point one place right.

8. What is the value of the digit $7$ in $5,764.2$?

   $700$. The 7 is in the hundreds place.

9. What is the place-value rule for moving one place to the left in a multi-digit number?

   Multiply by $10$ (value becomes $10$ times as much). Each place to the left represents 10 times the value of the place to its right.

10. What is the value of the digit $7$ in the number $5{,}743.2$?

    $700$. The digit $7$ is in the hundreds place.

11. What is the ratio of the value of the $8$ in $80$ to the value of the $8$ in $8$?

    $10:1$. 80 is 10 times 8, so the ratio is 10 to 1.

12. Find the missing number: The value of the $5$ in $5,000$ is $10$ times the value of the $5$ in $\square$.

    $500$. 5,000 is 10 times 500.

13. What is the value of the digit $7$ in the number $0.57432$?

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

14. What is the value of the digit $5$ in the number $12.305$?

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

15. Identify the value of the digit $1$ in $90,105$.

    $100$. The 1 is in the hundreds place, so its value is 1 × 100.

16. Find the missing number: The value of the $7$ in $0.7$ is $10$ times the value of the $7$ in $\square$.

    $0.07$. 0.7 is 10 times 0.07.

17. What is the value of the digit $2$ in $4.2$?

    $\frac{2}{10}$. The 2 is in the tenths place.

18. What is the value of the digit $4$ in the number $304{,}981$?

    $4{,}000$. The digit $4$ is in the thousands place.

19. What is the value of the digit $3$ in the number $12.305$?

    $0.3$. The digit $3$ is in the tenths place.

20. Which is greater: the value of the $3$ in $3,000$ or the value of the $3$ in $300$?

    The $3$ in $3,000$. 3,000 is 10 times greater than 300.

21. Identify the value of the digit $9$ in $90,105$.

    $90,000$. The 9 is in the ten thousands place, so its value is 9 × 10,000.

22. What is the ratio of the value of the $9$ in $0.09$ to the value of the $9$ in $0.9$?

    $1:10$. 0.09 is one-tenth of 0.9, so the ratio is 1 to 10.

23. What is the multiplicative relationship between adjacent place values in base $10$?

    Each place to the left is $10$ times the value to its right. Moving left multiplies place value by $10$.

24. What number is $10$ times the value of the digit $3$ in 4{,}3\text{__}2 (digit $3$ in hundreds place)?

    $3{,}000$. Move $3$ one place left from hundreds to thousands.

25. What is the value of the digit $2$ in $6.482$?

    $0.002$. The 2 is in the thousandths place, so its value is 2 × 0.001.

26. Identify the missing number: $\frac{1}{10} \times 700 = \text{?}$

    $70$. Dividing by $10$ moves decimal one place left.

27. In $8.08$, how many times greater is the value of the $8$ in the ones place than the $8$ in the hundredths place?

    $100$ times. 8 in ones = 8, 8 in hundredths = 0.08, so 8 ÷ 0.08 = 100.

28. What is the value of the digit $3$ in $47,213$?

    $3$. The 3 is in the ones place, so its value is 3 × 1.

29. What is the value of the digit $4$ in $6.482$?

    $0.4$. The 4 is in the tenths place, so its value is 4 × 0.1.

30. What is the value of the digit $4$ in the number $3{,}049.81$?

    $40$. The digit $4$ is in the tens place.

31. What number is $\frac{1}{10}$ as much as $4.7$?

    $0.47$. Multiplying by $\frac{1}{10}$ moves the decimal point one place left.

32. What is the value of the digit $8$ in $6.482$?

    $0.08$. The 8 is in the hundredths place, so its value is 8 × 0.01.

33. What is the value of the digit $7$ in $57,642$?

    $7,000$. The 7 is in the thousands place.

34. Which statement is correct about the digit $1$ in $0.41$ and $0.401$?

    In $0.41$, $0.01$ is $10$ times $0.001$ in $0.401$. Hundredths place value is $10$ times thousandths place value.

35. Which statement is correct about the digit $8$ in $48{,}000$ and $4{,}800$?

    In $48{,}000$, $8{,}000$ is $10$ times $800$ in $4{,}800$. Thousands place value is $10$ times hundreds place value.

36. What is the value of the digit $1$ in $47,213$?

    $10$. The 1 is in the tens place, so its value is 1 × 10.

37. What is the multiplicative relationship between adjacent place values moving right in base $10$?

    Each place to the right is $\frac{1}{10}$ of the value to its left. Moving right divides place value by $10$.

38. What is the value of the digit $6$ in $6.482$?

    $6$. The 6 is in the ones place, so its value is 6 × 1.

39. What is the value of the digit $4$ in the number $30{,}498.1$?

    $400$. The digit $4$ is in the hundreds place.

40. What is the value of the digit $7$ in $47,213$?

    $7,000$. The 7 is in the thousands place, so its value is 7 × 1,000.

41. Which is greater: the value of $3$ in $3,402$ or the value of $3$ in $340$?

    The value of $3$ in $3,402$ is greater. 3 in thousands (3,000) is greater than 3 in hundreds (300).

42. What is the value of the digit $2$ in the number $12.305$?

    $2$. The digit $2$ is in the ones place.

43. What is the value of the digit $2$ in $47,213$?

    $200$. The 2 is in the hundreds place, so its value is 2 × 100.

44. What number is $10$ times as much as $4.7$?

    $47$. Multiplying by 10 moves the decimal point one place right.

45. What number is $10$ times as much as $6.3$?

    $63$. Multiply by 10: $6.3 \times 10 = 63$.

46. Identify the correct comparison: Is the $6$ in $0.06$ $10$ times or $\frac{1}{10}$ as much as the $6$ in $0.6$?

    It is $\frac{1}{10}$ as much. 0.06 is one place right of 0.6, so it's one-tenth the value.

47. Identify the missing number: $10 \times 0.08 = \text{?}$

    $0.8$. Multiplying by $10$ moves decimal one place right.

48. What is the value of the digit $7$ in $0.572$?

    $\frac{7}{100}$. The 7 is in the hundredths place, two places right of the decimal.

49. What is the value of the digit $4$ in the number $0.304981$?

    $0.004$. The digit $4$ is in the thousandths place.

50. What is the value of the digit $2$ in $4.02$?

    $\frac{2}{100}$. The 2 is in the hundredths place.

51. What number is $\frac{1}{10}$ as much as $0.36$?

    $0.036$. Multiplying by $\frac{1}{10}$ moves the decimal point one place left.

52. What is the value of the digit $7$ in the number $57{,}432$?

    $7{,}000$. The digit $7$ is in the thousands place.

53. Which is greater: the value of the digit $6$ in $6{,}000$ or in $600$?

    In $6{,}000$ (it is $10$ times the value in $600$). Thousands place is $10$ times hundreds place.

54. What multiple of a digit's value is the same digit one place to the left?

    It is $10$ times as much. Moving left multiplies the place value by 10.

55. What number is $\frac{1}{10}$ as much as $48$?

    $4.8$. Divide by 10: $48 \div 10 = 4.8$.

56. Find the missing number: The value of the $6$ in $6,000$ is $10$ times the value of the $6$ in what number?

    $600$. 6,000 ÷ 10 = 600, so the 6 must be in the hundreds place.

57. What fraction of a digit's value is the same digit one place to the right?

    It is $\frac{1}{10}$ as much. Moving right divides the place value by 10.

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