Class 5 Maths Chapter 2 Number Work Problem Set 5 Solutions | SB TEST PRO HUB

DATE: 12/06/2026

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Class: 5th Standard (Maharashtra Board)

Subject: Mathematics

Chapter: Chapter 2 — Number Work

Topic/Set: Problem Set 5 (Place Value & Expanded Form)

✏️ Practice Exercises & Explanations

Q1. Write the place value of the underlined digit.

✍ Classmate's Tip: First identify which place the underlined digit sits in (count from the right: U, T, H, Th, TTh, L, TL). Then multiply that digit by its place value. If the digit is 0, its place value is always 0 — no matter the position!

(1) 78,95,210

TL	L	TTh	Th	H	T	U
7	8	9	5	2	1	0

✍ Digit 7 is in the Ten Lakhs place.
✓ Place value = 70,00,000 (Seventy lakh)

(2) 14,95,210

TL	L	TTh	Th	H	T	U
1	4	9	5	2	1	0

✍ Digit 4 is in the Lakhs place.
✓ Place value = 4,00,000 (Four lakh)

(3) 3,52,749

L	TTh	Th	H	T	U
3	5	2	7	4	9

✍ Digit 5 is in the Ten Thousands place.
✓ Place value = 50,000 (Fifty thousand)

(4) 50,000

TTh	Th	H	T	U
5	0	0	0	0

✍ ⚠️ Special Case: Digit 0 is in the Units place. Zero's place value is always zero!
✓ Place value = 0 (Zero)

(5) 89,99,988

TL	L	TTh	Th	H	T	U
8	9	9	9	9	8	8

✍ Digit 9 is in the Thousands place.
✓ Place value = 9,000 (Nine thousand)

Q2. Write the numbers in their expanded form.

✍ Method: Write each digit × its place value as an addition chain. Skip the zero terms (or include them as 0 — both are acceptable). Work from left to right.

(1) 56,43,215
✍ 5→TL, 6→L, 4→TTh, 3→Th, 2→H, 1→T, 5→U
✓ 50,00,000 + 6,00,000 + 40,000 + 3,000 + 200 + 10 + 5

(2) 70,815
✍ 7→TTh, 0→Th (skip!), 8→H, 1→T, 5→U
✓ 70,000 + 800 + 10 + 5

(3) 8,35,999
✍ 8→L, 3→TTh, 5→Th, 9→H, 9→T, 9→U
✓ 8,00,000 + 30,000 + 5,000 + 900 + 90 + 9

(4) 8,88,889
✍ 8→L, 8→TTh, 8→Th, 8→H, 8→T, 9→U
✓ 8,00,000 + 80,000 + 8,000 + 800 + 80 + 9

(5) 92,32,992
✍ 9→TL, 2→L, 3→TTh, 2→Th, 9→H, 9→T, 2→U
✓ 90,00,000 + 2,00,000 + 30,000 + 2,000 + 900 + 90 + 2

Q3. Write the place name and place value of each digit.

✍ Classmate's Tip: Build a table — list each digit, its place name, and its place value. Remember: 0 in any place always has place value = 0.

(1) 35,705

Digit	Place Name	Place Value
3	Ten Thousands	30,000
5	Thousands	5,000
7	Hundreds	700
0	Tens	0
5	Units	5

(2) 7,82,899

Digit	Place Name	Place Value
7	Lakhs	7,00,000
8	Ten Thousands	80,000
2	Thousands	2,000
8	Hundreds	800
9	Tens	90
9	Units	9

(3) 82,74,508

Digit	Place Name	Place Value
8	Ten Lakhs	80,00,000
2	Lakhs	2,00,000
7	Ten Thousands	70,000
4	Thousands	4,000
5	Hundreds	500
0	Tens	0
8	Units	8

Q4. Expanded form is given — Write the number.

✍ Reverse Method: Identify the highest place value in the sum to know how many digits the number has. Fill in a place value chart; put 0 wherever a place is missing.

(1) 60,000 + 4,000 + 600 + 70 + 9
✍ Highest = TTh (5-digit). TTh=6, Th=4, H=6, T=7, U=9.
✓ 64,679

(2) 9,00,000 + 20,000 + 7,000 + 800 + 5
✍ Highest = L (6-digit). L=9, TTh=2, Th=7, H=8, T=0, U=5.
✓ 9,27,805

(3) 20,00,000 + 3,00,000 + 60,000 + 9,000 + 500 + 10 + 7
✍ Highest = TL (7-digit). TL=2, L=3, TTh=6, Th=9, H=5, T=1, U=7.
✓ 23,69,517

(4) 7,00,000 + 80,000 + 4,000 + 500
✍ L=7, TTh=8, Th=4, H=5, T=0, U=0.
✓ 7,84,500

(5) 80,00,000 + 50,000 + 1,000 + 600 + 9
✍ TL=8, L=0, TTh=5, Th=1, H=6, T=0, U=9.
✓ 80,51,609

🎲 An Interesting Dice Game

✍ Each player gets a row of 7 empty boxes representing the 7 place values. On your turn, roll the dice and write the number in any ONE box. Once written, you cannot move it!

Sample row for one player:

TL

?

L

?

TTh

?

Th

?

H

?

T

?

U

?

🎮 Game 1 — Largest Number Wins

Each player rolls the dice and places that digit in any box in front of their own name. Once all 7 boxes are filled, compare numbers. Largest number = Winner!

🎮 Game 2 — Place in Anyone's Row!

Same as Game 1, but you may write the digit in any player's row! Strategy matters — try to give rivals small digits in high places. Largest number = Winner!

🎮 Game 3 — Smallest Number Wins

Same rules as Game 2, but now the smallest number wins. Try to push big digits into low places!

🗣️ Bigger & Smaller Numbers — Classroom Dialogue

Hamid: How do we compare six- or seven-digit numbers?

Teacher: Start from the leftmost (highest) place. The number with the bigger digit there is larger. If they're equal, move one place to the right and compare again.

Hamid: And if one number has more digits than the other?

Teacher: Simple! More digits = bigger number. A 7-digit number is always greater than any 6-digit number.

📝 Additional Important Questions

Additional Q1. Write the place value of the underlined digit.

(1) 81,67,303
✍ Digit 7 is in the Thousands place.
✓ Place value = 7,000 (Seven thousand)

(2) 41,35,062
✍ Digit 6 is in the Tens place.
✓ Place value = 60 (Sixty)

(3) 90,31,265
✍ Digit 3 is in the Ten Thousands place.
✓ Place value = 30,000 (Thirty thousand)

Additional Q2. Write the numbers in their expanded form.

(1) 51,03,640
✍ TL=5, L=1, TTh=0 (skip), Th=3, H=6, T=4, U=0 (skip).
✓ 50,00,000 + 1,00,000 + 3,000 + 600 + 40

(2) 60,60,600
✍ TL=6, L=0 (skip), TTh=6, Th=0 (skip), H=6, T=0 (skip), U=0 (skip).
✓ 60,00,000 + 60,000 + 600

(3) 71,45,042
✍ TL=7, L=1, TTh=4, Th=5, H=0 (skip), T=4, U=2.
✓ 70,00,000 + 1,00,000 + 40,000 + 5,000 + 40 + 2

Additional Q3. Place name and place value of each digit in 1,88,919.

Digit	Place Name	Place Value
1	Lakhs	1,00,000
8	Ten Thousands	80,000
8	Thousands	8,000
9	Hundreds	900
1	Tens	10
9	Units	9

Additional Q4. Expanded form → Write the number.

(1) 40,00,000 + 5,00,000 + 10,000 + 3,000 + 200 + 70 + 8
✍ TL=4, L=5, TTh=1, Th=3, H=2, T=7, U=8.
✓ 45,13,278

(2) 80,000 + 300 + 40 + 1
✍ TTh=8, Th=0, H=3, T=4, U=1.
✓ 80,341

📌 Important Points

1. Place Value = Digit × Value of its position. Face Value = the digit itself (unchanged).

2. Zero's place value is always 0, regardless of which place it occupies.

3. In expanded form, zero terms can be omitted from the addition (e.g. + 0 is skipped).

4. To compare numbers: more digits = bigger. If equal digits, compare place by place from left.

5. The Indian place value chart order (right→left): U, T, H, Th, TTh, L, TL.

💡 Exam Tips

⚡ Same digit, different place value: In 8,88,889 — the four 8s have four different place values (8,00,000 / 80,000 / 8,000 / 800 / 80). Don't confuse them!

⚡ Expanded Form → Number: Always check if any intermediate place is missing and fill it with 0. Example: 80,00,000 + 50,000 → TL=8, L=0, TTh=5 → 80,50,000 (not 8,50,000!).

⚡ Dice Game Strategy: Roll a 6 or 5? Place it in the Ten Lakhs or Lakhs box to maximise your number!

⚠️ Common Mistakes

❌ Error: Writing place value of 0 as its position value — e.g. saying place value of 0 in 50,000 is 10 (tens place).

✔️ Correct: Place value of any 0 is always 0.

❌ Error: Skipping a missing place when converting expanded form to a number — writing 80,00,000 + 50,000 as 8,50,000.

✔️ Correct: Fill in the Lakhs place with 0 → 80,50,000.

❌ Error: Confusing place value with face value. Face value of 9 in 89,99,988 = just 9. Place value depends on its position!