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

1. True / False (1 pts)

0.6 lies between 0 and 1 on the number line.

✓ Answer

True

2. True / False (1 pts)

In 5.408, the digit in the hundredths place is 0.

✓ Answer

True

3. True / False (1 pts)

4.5 is greater than 4.50.

✓ Answer

False

4. True / False (1 pts)

Adding zeros to the right of a decimal does not change its value.

✓ Answer

True

5. True / False (1 pts)

0.09 is greater than 0.9.

✓ Answer

False

6. True / False (1 pts)

In 3.205, the digit in the tenths place is 2.

✓ Answer

True

7. True / False (1 pts)

Seven hundredths is written as 0.07.

✓ Answer

True

8. True / False (1 pts)

Multiplying a number by 10 moves its decimal point one place to the left.

✓ Answer

False

9. True / False (1 pts)

0.25 is equivalent to 1/4.

✓ Answer

True

10. True / False (1 pts)

6.08 has eight tenths.

✓ Answer

False

11. Multiple Choice (2 pts)

Which decimal equals three tens and nine hundredths?

✓ Answer

A. 30.09

12. Multiple Choice (2 pts)

Between which two whole numbers does 1.7 lie?

✓ Answer

B. 1 and 2

13. Multiple Choice (2 pts)

Which of the following is the smallest number?

✓ Answer

D. 5.007

14. Multiple Choice (2 pts)

What is 4/5 as a decimal?

✓ Answer

B. 0.8

15. Multiple Choice (2 pts)

In 48.326, the value of the digit 2 is:

✓ Answer

B. 0.02

16. Multiple Choice (2 pts)

Which expression has the same value as 7.4?

✓ Answer

B. 7 + 4/10

17. Multiple Choice (2 pts)

Which decimal is NOT equal to 3.50?

✓ Answer

C. 3.05

18. Multiple Choice (2 pts)

12 + 0.08 + 0.3 equals:

✓ Answer

B. 12.38

19. Multiple Choice (2 pts)

Convert 0.625 to a fraction in simplest form.

✓ Answer

A. 5/8

20. Multiple Choice (2 pts)

Calculate the product: 45.7 × 0.06

✓ Answer

A. 2.742

21. Fill in the Blank (2 pts)

Write 3/20 as a decimal: _____

✓ Answer

0.15

22. Fill in the Blank (2 pts)

The digit in the hundredths place of 9.846 is _____

✓ Answer

4

23. Fill in the Blank (2 pts)

Write “seven and forty-two thousandths” as a decimal: _____

✓ Answer

7.042

24. Fill in the Blank (2 pts)

_____ is equivalent to 2/5 as a decimal.

✓ Answer

0.4

25. Fill in the Blank (2 pts)

Round 6.478 to the nearest tenth: _____

✓ Answer

6.5

26. Fill in the Blank (2 pts)

Write 18 tenths as a decimal: _____

✓ Answer

1.8

27. Fill in the Blank (2 pts)

Compare using <, >, or =: 0.32 _____ 0.302

✓ Answer

>

28. Fill in the Blank (2 pts)

Write 7/125 as a decimal: _____

✓ Answer

0.056

29. Fill in the Blank (2 pts)

Complete: 14.506 = 10 + 4 + _____ + 0.006

✓ Answer

0.5

30. Fill in the Blank (2 pts)

In 0.709, the number of thousandths is _____

✓ Answer

9

31. Word Problem (5 pts)

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.

✎ Worked Solution

Step 1: Cost of notebooks = 3 × 2.45 = 7.35

Step 2: Cost of pens = 2 × 1.38 = 2.76

Step 3: Total cost = 7.35 + 2.76 = 10.11

Answer: $10.11

32. Word Problem (5 pts)

You pay with a $20 bill for items costing $6.89 and $4.75. How much change should you receive? Show your working.

✎ Worked Solution

Step 1: Total cost = 6.89 + 4.75 = 11.64

Step 2: Change = 20.00 − 11.64 = 8.36

Answer: $8.36

33. Word Problem (5 pts)

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.

✎ Worked Solution

Step 1: Add morning and noon distances: 2.6 + 3.45 = 6.05

Step 2: Add evening distance: 6.05 + 1.2 = 7.25

Answer: 7.25 km

34. Word Problem (5 pts)

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.

✎ Worked Solution

Step 1: Divide total volume by number of bottles: 3.6 ÷ 8

Step 2: 3.6 ÷ 8 = 0.45

Answer: 0.45 liters per bottle

35. Word Problem (5 pts)

Apples cost $3.20 per kilogram. If you buy 0.85 kg, how much do you pay? Show your working.

✎ Worked Solution

Step 1: Multiply price per kg by mass: 3.20 × 0.85

Step 2: 3.20 × 0.85 = 2.72

Answer: $2.72

36. Word Problem (5 pts)

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.

✎ Worked Solution

Step 1: Compare times: 26.41, 26.37, 26.90, 26.52

Step 2: The smallest time is 26.37

Answer: Ava

37. Word Problem (5 pts)

A 15.6-meter rope is cut into 4 equal pieces. What is the length of one piece? Show your working.

✎ Worked Solution

Step 1: Length per piece = 15.6 ÷ 4

Step 2: 15.6 ÷ 4 = 3.9

Answer: 3.9 meters

38. Word Problem (5 pts)

A race distance is 42.195 km. Round this distance to the nearest tenth of a kilometer. Show your working.

✎ Worked Solution

Step 1: Identify tenths (2) and hundredths (9) in 42.195

Step 2: Since hundredths is 9 (≥5), round tenths up to 2 → 42.2

Answer: 42.2 km

39. Word Problem (5 pts)

Find the value of 7.48 + 2.305 − 1.6. Show your working.

✎ Worked Solution

Step 1: Add 7.48 and 2.305: 7.48 + 2.305 = 9.785

Step 2: Subtract 1.6: 9.785 − 1.6 = 8.185

Answer: 8.185

40. Word Problem (5 pts)

Find the missing number: 35.8 + _____ = 49.06. Show your working.

✎ Worked Solution

Step 1: Subtract to find the missing addend: 49.06 − 35.8

Step 2: 49.06 − 35.80 = 13.26

Answer: 13.26