Understand Place Value Relationships - 4th Grade Math

1. What is the value of the digit $2$ in $3{,}425$?

   $20$. The $2$ is in the tens place: $2 \times 10 = 20$.

2. What does it mean when a digit moves one place to the right in a whole number?

   Its value becomes $\frac{1}{10}$ as great. Each place to the right is worth $\frac{1}{10}$ of the place to its left.

3. Which statement is true: $500$ is $10$ times $50$, or $500$ is $10$ times $5$?

   $500$ is $10$ times $50$. Check: $50 \times 10 = 500$ (true), but $5 \times 10 = 50$ (false).

4. What number is $\frac{1}{10}$ of $900$?

   $90$. Divide by 10: $900 \text{ div } 10 = 90$.

5. What is the value of the digit $7$ in $7{,}000$?

   $7{,}000$. The 7 is in the thousands place, so it represents 7 thousands.

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

   The value of $6$ in $6{,}000$ is greater. $6{,}000 > 600$ because 6 is in a higher place value.

7. What number is $rac{1}{10}$ of $5{,}000$?

   $500$. Divide by 10: $5{,}000 div 10 = 500$.

8. Which is $10$ times greater: the $4$ in $40$ or the $4$ in $4$?

   The $4$ in $40$. The $4$ in $40$ is in the tens place, which is $10$ times the ones place.

9. What is the value of the digit $7$ in $70$?

   $70$. The $7$ is in the tens place, so it represents $7 \times 10$.

10. Identify the missing number: $80 = 10 \times \underline{\hspace{0.8em}}$.

    $8$. $10 \times 8 = 80$, so the missing number is 8.

11. What is the value of the digit $7$ in $70$?

    $70$. The 7 is in the tens place, so it represents 7 tens.

12. How many times greater is the value of $2$ in $200$ than the value of $2$ in $20$?

    $10$ times. Hundreds place is 10 times the tens place value.

13. What number is $10$ times the value of the $3$ in $30$?

    $300$. Moving one place left multiplies by $10$: $30 \times 10 = 300$.

14. What number is $10$ times as great as $6,000$?

    $60,000$. Multiply by 10: $6,000 \times 10 = 60,000$.

15. What is the value of the digit $2$ in $2{,}345$?

    $2000$. The $2$ is in the thousands place: $2 \times 1000 = 2000$.

16. Find the missing number: $9{,}000 = 900 \times \square$.

    $10$. To get from $900$ to $9{,}000$, multiply by $10$.

17. What number is $10$ times as great as $70$?

    $700$. Multiply by 10: $70 \times 10 = 700$.

18. What number is $10$ times as great as $7{,}000$?

    $70{,}000$. Multiply by 10: $7{,}000 \times 10 = 70{,}000$.

19. What is the value of the digit $8$ in $3{,}482$?

    $80$. The 8 is in the tens place.

20. What is the value of the digit $2$ in $3{,}245$?

    $200$. The $2$ is in the hundreds place: $2 \times 100 = 200$.

21. How many times greater is the value of $6$ in $6,000$ than the value of $6$ in $600$?

    $10$ times. Thousands place is 10 times the hundreds place value.

22. Which is greater: the value of $4$ in $4,000$ or the value of $4$ in $400$?

    The value of $4$ in $4,000$. $4,000$ is greater than $400$ because thousands > hundreds place.

23. What is the value of the digit $7$ in $7,000$?

    $7,000$. The digit 7 is in the thousands place, so its value is $7 \times 1,000$.

24. What is the value of the digit $1$ in $10{,}000$?

    $10{,}000$. The $1$ is in the ten thousands place: $1 \times 10{,}000$.

25. How many times greater is the value of $5$ in $5,000$ than the value of $5$ in $500$?

    $10$ times greater. 5,000 is one place left of 500, so it's $10 \times$ greater.

26. What number makes this true: $6000 \div 600 = \square$?

    $10$. The $6$ moves one place right, so divide by $10$.

27. What does it mean when a digit moves one place to the left in a whole number?

    Its value becomes $10$ times as great. Each place to the left is worth $10$ times more than the place to its right.

28. Identify the place-value relationship: the $5$ in $50,000$ compared to the $5$ in $5,000$.

    It is $10$ times as great. Ten thousands place is 10 times the thousands place value.

29. What is the value of the digit $2$ in $3{,}482$?

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

30. Identify the place value of the digit $6$ in $46{,}000$.

    Thousands place. The $6$ is in the fourth position from right, which is thousands.

31. What is $4{,}500 7 450$ using place value?

    $10$. 4,500 has one more zero than 450, so it's 10 times greater.

32. What number is $\frac{1}{10}$ the value of the $8$ in $800$?

    $80$. Moving one place right divides by $10$: $800 \div 10 = 80$.

33. What is the value of the digit $7$ in $700$?

    $700$. The 7 is in the hundreds place, so it represents 7 hundreds.

34. What does it mean when a digit moves one place to the left in a whole number?

    Its value becomes $10$ times as great. Each place to the left is worth 10 times more.

35. Which is $10$ times greater: the $9$ in $900$ or the $9$ in $90$?

    The $9$ in $900$. The $9$ in $900$ is one place left of the $9$ in $90$.

36. What does it mean when a digit moves one place to the right in a whole number?

    Its value becomes $\frac{1}{10}$ as great (divide by $10$). Each place to the right is worth 10 times less.

37. Identify the place value of the digit $5$ in $5{,}000$.

    Thousands place. The $5$ represents $5$ thousands in this number.

38. What is $700 7 70$ using place value?

    $10$. 700 has one more zero than 70, so it's 10 times greater.

39. What is the value of the digit $4$ in $3,482$?

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

40. What is $90 7 9$ using place value?

    $10$. 90 has one more zero than 9, so it's 10 times greater.

41. What is the value of the digit $7$ in $700$?

    $700$. The $7$ is in the hundreds place, so it represents $7 \times 100$.

42. What number makes this true: $700 \div 70 = \square$?

    $10$. Moving one place right divides by $10$: $700 \div 70 = 10$.

43. What is $6{,}000 7 600$ using place value?

    $10$. 6,000 has one more zero than 600, so it's 10 times greater.

44. What is the value of the digit $3$ in $3{,}482$?

    $3{,}000$. The 3 is in the thousands place.

45. What is the value of the digit $2$ in $3{,}452$?

    $2$. The $2$ is in the ones place: $2 \times 1 = 2$.

46. Find the missing number: $560 = 56 \times \square$.

    $10$. To get from $56$ to $560$, multiply by $10$.

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