Perform Operations With Decimals - 5th Grade Math

1. What is $2.5 \times 0.4$?

   $1.0$. $25 \times 4 = 100$, with 2 decimal places total.

2. What is $0.68 + 0.25$?

   $0.93$. Add hundredths: $8 + 5 = 13$ hundredths, carry 1 to tenths.

3. What is $2.5 - 0.09$ written to hundredths?

   $2.41$. Rewrite $2.5$ as $2.50$ before subtracting.

4. What is $6 \times 0.4$?

   $2.4$. Multiply: $6 \times 4$ tenths equals $24$ tenths or $2.4$.

5. What is $0.4 \times 0.3$?

   $0.12$. $4 \times 3 = 12$, with 2 decimal places total.

6. What is the value of the digit $7$ in $3.47$?

   $0.07$. The 7 is in the hundredths place, so its value is $7 \times 0.01$.

7. What is $0.06 \times 5$?

   $0.30$. $6 \times 5 = 30$, with 2 decimal places total.

8. What is $3.6 \times 0.25$?

   $0.90$. One-fourth of $3.6$ is $0.9$, written as $0.90$.

9. What place value is the digit $6$ in $12.36$?

   Hundredths. The 6 is two places after the decimal point.

10. Which property is shown by $(0.5 + 0.2) + 0.3 = 0.5 + (0.2 + 0.3)$?

    Associative property of addition. Grouping doesn't change the sum.

11. What is $3.6 + 0.07$?

    $3.67$. Add tenths to tenths, hundredths to hundredths.

12. What is $5.20 - 0.85$?

    $4.35$. Regroup from ones to tenths when subtracting.

13. What is $0.56 \times 10$?

    $5.6$. Multiplying by $10$ moves decimal one place right.

14. What is $0.9 + 0.08$ written to hundredths?

    $0.98$. Write tenths as $0.90$ to add hundredths clearly.

15. What is $3.2 \times 0.5$?

    $1.6$. Half of $3.2$ is $1.6$.

16. What is $2.5 \times 1.2$?

    $3.00$. Multiply: $25 \times 12 = 300$ hundredths.

17. Which equation correctly checks $5.6 - 2.3 = 3.3$ using addition?

    $3.3 + 2.3 = 5.6$. Addition undoes subtraction to verify the result.

18. What is $9.00 - 3.47$?

    $5.53$. Regroup from ones: $9.00 - 3.47 = 5.53$.

19. What is $4.8 \div 6$?

    $0.8$. $48 \div 6 = 8$, then place decimal point.

20. What is $6.00 - 2.75$?

    $3.25$. Align decimals and subtract, borrowing when needed.

21. What property is shown by $4.3 + 1.2 = 1.2 + 4.3$?

    Commutative property of addition. Order doesn't matter when adding numbers.

22. What is the value of the digit $6$ in $0.06$?

    $0.06$. In hundredths place, the digit represents 6 hundredths.

23. What is $4.32 + 1.50$?

    $5.82$. Align decimal points and add each place value.

24. What is $0.48 + 0.07$?

    $0.55$. Add hundredths to hundredths, tenths to tenths.

25. What is $7.50 - 4.8$ written to the hundredths place?

    $2.70$. Rewrite as $7.50 - 4.80$ to align place values.

26. What is $0.7 \times 0.3$?

    $0.21$. Multiply: $7 \times 3 = 21$ hundredths.

27. What is $3 \times 0.25$?

    $0.75$. Multiply as whole numbers, then place decimal.

28. What is $0.4 \times 0.2$?

    $0.08$. Two decimal places total in the product.

29. What is $3.40 + 2.05$?

    $5.45$. Align decimal points and add: $3.40 + 2.05 = 5.45$.

30. What is $2.35 \times 4$?

    $9.40$. Multiply $235 \times 4 = 940$, place decimal.

31. What is $0.6$ written as an equivalent decimal to hundredths?

    $0.60$. Add a zero to show hundredths place value.

32. What is $1.00 - 0.39$?

    $0.61$. Subtract by regrouping: $10 - 9 = 1$ in hundredths place.

33. What is $3.06 \times 2$?

    $6.12$. Multiply each digit: $3.06 \times 2 = 6.12$.

34. What is $4.5 + 2.30$?

    $6.80$. Align decimal points and add: $4.50 + 2.30 = 6.80$.

35. What is $6.4 \div 0.8$?

    $8$. Move decimal: $64 \div 8 = 8$.

36. What is $0.84 \div 7$?

    $0.12$. $84 \div 7 = 12$, then place decimal point.

37. What is $5.2 - 0.35$ written to the hundredths place?

    $4.85$. Rewrite as $5.20 - 0.35$ to align place values.

38. What is $0.9 + 0.08$ written to the hundredths place?

    $0.98$. Add tenths to hundredths: $0.90 + 0.08 = 0.98$.

39. What is the place value of the digit $7$ in $3.47$?

    $7$ is in the hundredths place. Count two places right from the decimal point.

40. What is $0.56 \times 100$?

    $56$. Multiplying by $100$ moves decimal two places right.

41. Which property is shown by $1.2 + 3.4 = 3.4 + 1.2$?

    Commutative property of addition. Order doesn't matter when adding.

42. What is $8.00 - 3.67$?

    $4.33$. Align decimals and subtract: $8.00 - 3.67 = 4.33$.

43. Identify the missing number: $0.25 + \square = 1.00$.

    $0.75$. $1.00 - 0.25 = 0.75$ to complete the whole.

44. What is $1.2 \times 0.3$?

    $0.36$. Count total decimal places: $1 + 1 = 2$.

45. What is $5.02 - 1.8$?

    $3.22$. Rewrite $1.8$ as $1.80$, then subtract with regrouping.

46. What property is shown by $(2.5 + 1.5) + 0.5 = 2.5 + (1.5 + 0.5)$?

    Associative property of addition. Grouping doesn't change the sum.

47. What place value is the digit $7$ in the decimal $3.47$?

    Hundredths. The second digit after the decimal point represents hundredths.

48. Identify the missing number: $x + 2.35 = 5.00$. What is $x$?

    $2.65$. Subtract from both sides: $5.00 - 2.35 = 2.65$.

49. What is $0.63 \div 9$?

    $0.07$. $63 \div 9 = 7$, then place decimal point.

50. What is $4.8 \times 0.5$?

    $2.4$. Half of $4.8$ equals $2.4$.

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