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Mathematics

Decimals: Place Value, Number Lines, and Operations — New Practice Set

Decimals (place value, number line representation, fraction–decimal conversion, comparison, and operations)
Date: July 25, 2026  •  Questions: 40  •  Estimated time: 35 minutes
Score
____ / 100
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Instructions: Read each question carefully and answer to the best of your ability. Show all working for word problems.
1. 0.6 lies between 0 and 1 on the number line. (1 pt)
True
False
2. In 5.408, the digit in the hundredths place is 0. (1 pt)
True
False
3. 4.5 is greater than 4.50. (1 pt)
True
False
4. Adding zeros to the right of a decimal does not change its value. (1 pt)
True
False
5. 0.09 is greater than 0.9. (1 pt)
True
False
6. In 3.205, the digit in the tenths place is 2. (1 pt)
True
False
7. Seven hundredths is written as 0.07. (1 pt)
True
False
8. Multiplying a number by 10 moves its decimal point one place to the left. (1 pt)
True
False
9. 0.25 is equivalent to 1/4. (1 pt)
True
False
10. 6.08 has eight tenths. (1 pt)
True
False

11. Which decimal equals three tens and nine hundredths? (2 pts)
A. 30.09
B. 3.90
C. 39.00
D. 30.90
12. Between which two whole numbers does 1.7 lie? (2 pts)
A. 0 and 1
B. 1 and 2
C. 2 and 3
D. 17 and 18
13. Which of the following is the smallest number? (2 pts)
A. 5.07
B. 5.7
C. 5.17
D. 5.007
14. What is 4/5 as a decimal? (2 pts)
A. 0.45
B. 0.8
C. 0.54
D. 1.25
15. In 48.326, the value of the digit 2 is: (2 pts)
A. 2
B. 0.02
C. 0.2
D. 20
16. Which expression has the same value as 7.4? (2 pts)
A. 7 + 4/100
B. 7 + 4/10
C. 7 + 40
D. 74/100
17. Which decimal is NOT equal to 3.50? (2 pts)
A. 3.5
B. 3.500
C. 3.05
D. 3.5000
18. 12 + 0.08 + 0.3 equals: (2 pts)
A. 12.11
B. 12.38
C. 12.83
D. 12.003
19. Convert 0.625 to a fraction in simplest form. (2 pts)
A. 5/8
B. 3/5
C. 1/8
D. 25/40
20. Calculate the product: 45.7 × 0.06 (2 pts)
A. 2.742
B. 27.42
C. 0.2742
D. 274.2

21. Write 3/20 as a decimal:   (2 pts)
22. The digit in the hundredths place of 9.846 is   (2 pts)
23. Write “seven and forty-two thousandths” as a decimal:   (2 pts)
24.   is equivalent to 2/5 as a decimal. (2 pts)
25. Round 6.478 to the nearest tenth:   (2 pts)
26. Write 18 tenths as a decimal:   (2 pts)
27. Compare using <, >, or =: 0.32   0.302 (2 pts)
28. Write 7/125 as a decimal:   (2 pts)
29. Complete: 14.506 = 10 + 4 +   + 0.006 (2 pts)
30. In 0.709, the number of thousandths is   (2 pts)

31. A notebook costs $2.45 and a pen costs $1.38. If you buy 3 notebooks and 2 pens, how much do you spend in total? Show your working. (5 pts)
Working:
Answer:
32. You pay with a $20 bill for items costing $6.89 and $4.75. How much change should you receive? Show your working. (5 pts)
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33. On a training day, you run 2.6 km in the morning, 3.45 km at noon, and 1.2 km in the evening. What is the total distance you ran? Show your working. (5 pts)
Working:
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34. A 3.6-liter jug of juice is poured equally into 8 bottles. How many liters of juice are in each bottle? Show your working. (5 pts)
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Answer:
35. Apples cost $3.20 per kilogram. If you buy 0.85 kg, how much do you pay? Show your working. (5 pts)
Working:
Answer:
36. Four swimmers recorded the following times (in seconds): Liam—26.41, Ava—26.37, Mia—26.90, Noah—26.52. Who won the race? Show your working. (5 pts)
Working:
Answer:
37. A 15.6-meter rope is cut into 4 equal pieces. What is the length of one piece? Show your working. (5 pts)
Working:
Answer:
38. A race distance is 42.195 km. Round this distance to the nearest tenth of a kilometer. Show your working. (5 pts)
Working:
Answer:
39. Find the value of 7.48 + 2.305 − 1.6. Show your working. (5 pts)
Working:
Answer:
40. Find the missing number: 35.8 + _____ = 49.06. Show your working. (5 pts)
Working:
Answer: