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30 Solved + 20 Practice
GuidedPath Noida · Primary Maths · Worksheet
Place Value & Face Value
Ones, Tens, Hundreds and Thousands — place value charts, face value vs place value, expanded form and word problems. 30 fully solved + 20 practice questions with answer key.
๐ Worksheet Contents:
๐ All solved questions show full step-by-step working. Attempt the practice questions on your own first — then check the answer key at the bottom.
Solved Questions — Starter
Q1 to Q10 · Direct · Single concept · Builds confidence
Q1
What is the face value of 7 in 374? Starter
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Solution
1
Face value = the digit itself, regardless of position
✓ Face value of 7 = 7
Q2
What is the place value of 5 in 52? Starter
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Solution
1
52 → T=5, O=2 → 5 is in tens place
2
Place value = 5 × 10 = 50
✓ Place value of 5 = 50
Q3
Write the place value of 3 in 30. Starter
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Solution
1
30 → T=3, O=0 → 3 is in tens place
2
Place value = 3 × 10 = 30
✓ Place value of 3 = 30
Q4
What is the face value of 0 in 406? Starter
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Solution
1
Face value = digit itself = 0
✓ Face value of 0 = 0
Q5
Which place is the digit 8 in the number 800? Starter
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Solution
1
800 → H=8, T=0, O=0 → 8 is in hundreds place
✓ 8 is in the hundreds place
Q6
What is the place value of 9 in 9? Starter
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Solution
1
9 is a single digit → ones place
2
Place value = 9 × 1 = 9
✓ Place value of 9 = 9
Q7
Write the place value of each digit in 246. Starter
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Solution
H
T
O
2
4
6
1
2 in hundreds → 200
2
4 in tens → 40
3
6 in ones → 6
✓ 2 → 200, 4 → 40, 6 → 6
Q8
True or False: Face value of 6 in 460 is 6. Starter
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Solution
1
Face value = digit itself = 6, always
✓ True — face value of 6 is always 6
Q9
What is the place value of 1 in 100? Starter
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Solution
1
100 → H=1, T=0, O=0 → 1 is in hundreds place
2
Place value = 1 × 100 = 100
✓ Place value of 1 = 100
Q10
Write the face value and place value of 4 in 47. Starter
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Solution
1
Face value = 4
2
4 in tens place → place value = 4 × 10 = 40
✓ Face value = 4 · Place value = 40
Solved Questions — Core Practice
Q11 to Q22 · Exam-style · Place value table · 2–3 steps
Q11
Write the place value of each digit in 5,327. Core
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Solution
Th
H
T
O
5
3
2
7
1
5 in thousands → 5,000
2
3 in hundreds → 300
3
2 in tens → 20
4
7 in ones → 7
✓ 5→5,000, 3→300, 2→20, 7→7
Q12
What is the difference between face value and place value of 6 in 632? Core
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Solution
1
Face value of 6 = 6
2
6 in hundreds → place value = 600
3
Difference = 600 − 6 = 594
✓ Difference = 594
Q13
Write the expanded form of 4,056. Core
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Solution
1
4 in thousands → 4,000
2
0 in hundreds → 0
3
5 in tens → 50
4
6 in ones → 6
✓ 4,056 = 4,000 + 0 + 50 + 6
Q14
The place value of a digit is 300. Its face value is 3. In which place is it? Core
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Solution
1
Place value = 300, face value = 3
2
300 ÷ 3 = 100 → position value = 100
3
100 = hundreds place
✓ The digit is in the hundreds place
Q15
Write face value and place value of both 3s in 3,432. Core
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Solution
Th
H
T
O
3
4
3
2
1
First 3 → thousands place → face value = 3, place value = 3,000
2
Second 3 → tens place → face value = 3, place value = 30
✓ 3 (Th): FV=3, PV=3,000 · 3 (T): FV=3, PV=30
Q16
What is the sum of place values of all digits in 253? Core
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Solution
1
2 in hundreds → 200
2
5 in tens → 50
3
3 in ones → 3
4
200 + 50 + 3 = 253
✓ Sum of place values = 253 (always equals the number itself)
Q17
Write the place value of 0 in 7,086. Core
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Solution
1
7,086 → Th=7, H=0, T=8, O=6
2
0 in hundreds → 0 × 100 = 0
✓ Place value of 0 = 0 (always, in any position)
Q18
Write the number whose place value chart is: Th=2, H=0, T=9, O=4 Core
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Solution
Th
H
T
O
2
0
9
4
1
2,000 + 0 + 90 + 4 = 2,094
✓ 2,094
Q19
Find the difference between place value and face value of 8 in 8,523. Core
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Solution
1
8 in thousands → place value = 8,000
2
Face value = 8
3
Difference = 8,000 − 8 = 7,992
✓ Difference = 7,992
Q20
In which number is the place value of 5 equal to 500 — 5,321 or 2,549? Core
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Solution
1
5,321 → 5 in thousands → place value = 5,000
2
2,549 → 5 in hundreds → place value = 500 ✓
✓ 2,549 — place value of 5 = 500
Q21
Write the expanded form of 9,009. Core
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Solution
1
9 in thousands → 9,000
2
0 in hundreds → 0
3
0 in tens → 0
4
9 in ones → 9
✓ 9,009 = 9,000 + 0 + 0 + 9
Q22
What is the sum of face values of all digits in 4,321? Core
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Solution
1
Face values = digits themselves = 4, 3, 2, 1
2
4 + 3 + 2 + 1 = 10
✓ Sum of face values = 10
Solved Questions — Challenge
Q23 to Q30 · Board level · Word problems · Multi-step
Q23
The place value of a digit is 10 times its face value. The digit is 5. Find its place value and identify its position. Challenge
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Solution
1
Face value of the digit = 5
2
Place value = 10 × face value = 10 × 5 = 50
3
Place value 50 → digit 5 is in the tens place (5 × 10 = 50 ✓)
✓ Place value = 50 · Position = tens place
Q24
Reena says "the place value of 5 in 500 and 5,000 is the same." Is she correct? Challenge
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Solution
1
500 → H=5 → place value = 500
2
5,000 → Th=5 → place value = 5,000
3
500 ≠ 5,000
✓ No, Reena is wrong. Place value of 5 in 500 = 500, in 5,000 = 5,000
Q25
A number has 4 in thousands, 0 in hundreds, 7 in tens and 3 in ones. Write the number and its expanded form. Challenge
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Solution
Th
H
T
O
4
0
7
3
1
Number = 4,073
2
Expanded = 4,000 + 0 + 70 + 3
✓ Number = 4,073 · Expanded = 4,000 + 70 + 3
Q26
The face value of a digit is 9 and its place value is 9,000. Which place is it in? Name the number if all other digits are 0. Challenge
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Solution
1
Place value = 9,000, face value = 9 → position value = 9,000 ÷ 9 = 1,000
2
1,000 = thousands place
3
All other digits = 0 → number = 9,000
✓ Thousands place · Number = 9,000 (nine thousand)
Q27
In 7,777 — which 7 has the highest place value? Which has the lowest? Challenge
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Solution
Th
H
T
O
7
7
7
7
1
Th → 7,000 · H → 700 · T → 70 · O → 7
2
Highest = thousands → 7,000
3
Lowest = ones → 7
✓ Highest PV = 7,000 (thousands) · Lowest PV = 7 (ones)
Q28
A shopkeeper packed 3,648 biscuits. Write the place value of each digit and find which digit has the greatest place value. Challenge
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Solution
1
3 in thousands → 3,000
2
6 in hundreds → 600
3
4 in tens → 40
4
8 in ones → 8
5
Greatest place value = 3,000
✓ Greatest place value = 3,000 (digit 3 in thousands place)
Q29
True or False: In any number, face value and place value of a digit in ones place are always equal. Explain. Challenge
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Solution
1
Ones place → position value = 1
2
Place value = digit × 1 = digit itself
3
Face value = digit itself
4
Both are equal → True
✓ True — in the ones place, face value = place value always
Q30
Amit wrote 2,345 on the board. His teacher asked him to increase the place value of 3 by 10 times. What is the new number? Challenge
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Solution
1
2,345 → 3 is in hundreds place → place value = 300
2
Increase place value 10 times → move 3 one place left → thousands place
3
New number → 3 in thousands, 2 shifts → 3,245 ⚠️ Note: only 3 moves, other digits stay
✓ New number = 3,245 — place value of 3 = 3,000 (10 times 300)
Practice Questions — Section A
Q1 to Q8 · Straightforward · Attempt first, then check answer key
- 1 What is the face value of 9 in 923?
- 2 What is the place value of 6 in 67?
- 3 Which place is digit 4 in the number 400?
- 4 Write the face value of 0 in 305.
- 5 Write the place value of each digit in 135.
- 6 What is the place value of 2 in 2,000?
- 7 True or False: Face value of 7 in 700 is 700.
- 8 Write the place value of 5 in 5,432.
Practice Questions — Section B
Q9 to Q16 · Moderate · Face value vs place value · Expanded form
- 9 Write the expanded form of 6,204.
- 10 Find the difference between place value and face value of 9 in 956.
- 11 Write the place value of each digit in 8,071.
- 12 A number has Th=1, H=4, T=0, O=8. Write the number and its expanded form.
- 13 In which number is the place value of 3 equal to 3,000 — 3,142 or 1,342?
- 14 Write the sum of face values of all digits in 2,468.
- 15 Write the place value of 0 in 5,406.
- 16 Find the difference between place value and face value of 4 in 4,829.
Practice Questions — Section C
Q17 to Q20 · HOTs · Word problems · Board level
- 17 In 6,666 — write the place value of each 6 and find the sum of all place values.
- 18 Sana says "the face value and place value of a digit are always different." Is she correct? Give one example where they are equal.
- 19 A number has the digit 5 in thousands place and digit 5 in tens place. All other digits are 0. Write the number, its expanded form and the difference between the two place values of 5.
- 20 The place value of a digit is 100 times its face value. The face value is 7. Find the place value and identify which place the digit is in.
Answer Key — Practice Questions
Attempt all 20 questions before checking
๐ Show Answer Key — All 20 Questions
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Section A — Q1 to Q8
Q1. 9
Q2. 60
Q3. Hundreds place
Q4. 0
Q5. 1→100, 3→30, 5→5
Q6. 2,000
Q7. False — face value of 7 is always 7
Q8. 5,000
Q9. 6,000 + 200 + 0 + 4
Q10. 900 − 9 = 891
Q11. 8→8,000, 0→0, 7→70, 1→1
Q12. 1,408 · Expanded: 1,000 + 400 + 0 + 8
Q13. 3,142
Q14. 2 + 4 + 6 + 8 = 20
Q15. 0
Q16. 4,000 − 4 = 3,996
Q17. 6,000 + 600 + 60 + 6 · Sum = 6,666
Q18. No, Sana is wrong — face value = place value in ones place. Example: digit 5 in ones → both = 5
Q19. 5,050 · Expanded: 5,000 + 50 · Difference: 5,000 − 50 = 4,950
Q20. Place value = 100 × 7 = 700 · Hundreds place
