4th Grade Numbers Worksheets | Place Value Chart | Expended Form - Free Printable
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Step-by-step solution for: 4th Grade Numbers Worksheets | Place Value Chart | Expended Form
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Show Answer Key & Explanations
Step-by-step solution for: 4th Grade Numbers Worksheets | Place Value Chart | Expended Form
Since the image doesn't show which digits are underlined in question 1, I’ll solve all parts of the worksheet based on standard interpretations and common practices. I'll go through each problem step by step.
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Let’s assume the underlined digits are the last digit (units place) unless otherwise specified. But since no digits are visibly underlined in your description, I’ll analyze each number and give the place value of the last digit as a default example. However, if you meant specific digits to be underlined (e.g., the '2' in 2103), please clarify. For now, let's suppose:
#### (i) 2103
- The digits are: 2 (thousands), 1 (hundreds), 0 (tens), 3 (ones)
- If 3 is underlined → Place value = 3 × 1 = 3
- If 0 is underlined → Place value = 0 × 10 = 0
- If 1 is underlined → Place value = 1 × 100 = 100
- If 2 is underlined → Place value = 2 × 1000 = 2000
But without knowing which digit is underlined, we can’t give a single answer. So let’s assume the underlined digit is the first digit (leftmost) — a common practice in such problems.
So:
- (i) 2103 → Underlined: 2 → Place value = 2000 (2 × 1000)
- (ii) 4,00,493 → Underlined: 4 → This is the lakhs place? Wait — let’s check number format.
Wait! In Indian numbering system:
- 4,00,493 = 4 lakhs, 0 tens of thousands, 0 thousands, 4 hundreds, 9 tens, 3 ones
But in international system:
- 400,493 = 4 hundred thousand, 0 ten thousands, 0 thousands, 4 hundreds, 9 tens, 3 ones
So likely it's using international system, so:
- 4,00,493 = 400,493
- So, underlined 4 at the beginning → 4 × 100,000 = 400,000
Similarly:
- (iii) 9,14,825 → 914,825 → underlined 9 → 9 × 100,000 = 900,000
- (iv) 2,13,921 → 213,921 → underlined 2 → 2 × 100,000 = 200,000
✔ So assuming the first digit is underlined, answers are:
(i) 2103 → 2 is in thousands place → 2000
(ii) 4,00,493 → 4 is in hundred thousands place → 400,000
(iii) 9,14,825 → 9 is in hundred thousands place → 900,000
(iv) 2,13,921 → 2 is in hundred thousands place → 200,000
> ✔ Answer for Q1:
> - (i) 2000
> - (ii) 400,000
> - (iii) 900,000
> - (iv) 200,000
*(Note: If different digits were underlined, please specify.)*
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We can’t draw an abacus here, but we can describe how to represent each number on an abacus.
An abacus has rods for each place value: ones, tens, hundreds, thousands, ten thousands, hundred thousands, etc.
Each rod has:
- 1 bead on top (value = 5)
- 4 beads below (each = 1)
To represent a number:
- Use beads to show the digit in each place.
Let’s do this for each:
#### (i) 67,751
Break down:
- 6 ten thousands → 6 beads in ten thousands column
- 7 thousands → 7 beads in thousands column
- 7 hundreds → 7 beads in hundreds column
- 5 tens → 5 beads in tens column (use one top bead + 0 bottom, or just 5 lower beads)
- 1 one → 1 bead in ones column
On abacus:
- Ten thousands rod: 6 lower beads up
- Thousands rod: 7 lower beads up (but only 4 available → use 1 top bead (5) + 2 lower beads → total 7)
- Hundreds rod: 7 → 1 top (5) + 2 lower → 7
- Tens rod: 5 → 1 top bead (5)
- Ones rod: 1 → 1 lower bead
#### (ii) 5,44,301 → 544,301
Digits:
- 5 hundred thousands → 5 lower beads in hundred thousands rod
- 4 ten thousands → 4 lower beads
- 4 thousands → 4 lower beads
- 3 hundreds → 3 lower beads
- 0 tens → no beads
- 1 one → 1 lower bead
#### (iii) 8,54,206 → 854,206
- 8 hundred thousands → 1 top bead (5) + 3 lower beads → 8
- 5 ten thousands → 1 top bead (5)
- 4 thousands → 4 lower beads
- 2 hundreds → 2 lower beads
- 0 tens → no beads
- 6 ones → 1 top bead (5) + 1 lower bead → 6
✔ So, abacus representation is done by setting appropriate beads per digit, using top bead for 5 and lower beads for 1–4.
> 🔹 Answer: You would set beads accordingly on the abacus as described above.
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Compare each pair:
#### (i) 35,493 ___ 34,395
Compare digits from left:
- 3 vs 3 → same
- 5 vs 4 → 5 > 4 → so 35,493 > 34,395
→ 35,493 > 34,395
#### (ii) 2,90,018 ___ 8,10,092
Convert to international: 290,018 vs 810,092
First digit: 2 vs 8 → 2 < 8 → so 290,018 < 810,092
→ 2,90,018 < 8,10,092
#### (iii) 7,44,582 ___ 7,12,298
744,582 vs 712,298
First digit: 7 vs 7 → same
Second digit: 4 vs 1 → 4 > 1 → so 744,582 > 712,298
→ 7,44,582 > 7,12,298
#### (iv) 8,17,736 ___ 8,30,559
817,736 vs 830,559
First digit: 8 vs 8 → same
Second digit: 1 vs 3 → 1 < 3 → so 817,736 < 830,559
→ 8,17,736 < 8,30,559
✔ Answer for Q3:
- (i) >
- (ii) <
- (iii) >
- (iv) <
---
Expanded form means writing the number as sum of place values.
#### (i) 63,498
Break into:
- 60,000 (6 × 10,000)
- 3,000 (3 × 1,000)
- 400 (4 × 100)
- 90 (9 × 10)
- 8 (8 × 1)
→ 60,000 + 3,000 + 400 + 90 + 8
#### (ii) 7,70,052 → 770,052
- 700,000 (7 × 100,000)
- 70,000 (7 × 10,000)
- 0 × 1,000 = 0
- 0 × 100 = 0
- 50 (5 × 10)
- 2 (2 × 1)
→ 700,000 + 70,000 + 50 + 2
#### (iii) 9,72,855 → 972,855
- 900,000 (9 × 100,000)
- 70,000 (7 × 10,000)
- 2,000 (2 × 1,000)
- 800 (8 × 100)
- 50 (5 × 10)
- 5 (5 × 1)
→ 900,000 + 70,000 + 2,000 + 800 + 50 + 5
✔ Answer for Q4:
- (i) 60,000 + 3,000 + 400 + 90 + 8
- (ii) 700,000 + 70,000 + 50 + 2
- (iii) 900,000 + 70,000 + 2,000 + 800 + 50 + 5
---
#### 1. Place Value (assuming first digit underlined):
- (i) 2103 → 2000
- (ii) 4,00,493 → 400,000
- (iii) 9,14,825 → 900,000
- (iv) 2,13,921 → 200,000
#### 2. Abacus Representation:
- Describe how to set beads per digit (as above). Can’t draw, but explained.
#### 3. Comparison:
- (i) 35,493 > 34,395
- (ii) 2,90,018 < 8,10,092
- (iii) 7,44,582 > 7,12,298
- (iv) 8,17,736 < 8,30,559
#### 4. Expanded Form:
- (i) 60,000 + 3,000 + 400 + 90 + 8
- (ii) 700,000 + 70,000 + 50 + 2
- (iii) 900,000 + 70,000 + 2,000 + 800 + 50 + 5
Let me know if you want visual abacus diagrams or clarification on underlined digits!
---
Problem 1: Write the place value of underlined digits
Let’s assume the underlined digits are the last digit (units place) unless otherwise specified. But since no digits are visibly underlined in your description, I’ll analyze each number and give the place value of the last digit as a default example. However, if you meant specific digits to be underlined (e.g., the '2' in 2103), please clarify. For now, let's suppose:
#### (i) 2103
- The digits are: 2 (thousands), 1 (hundreds), 0 (tens), 3 (ones)
- If 3 is underlined → Place value = 3 × 1 = 3
- If 0 is underlined → Place value = 0 × 10 = 0
- If 1 is underlined → Place value = 1 × 100 = 100
- If 2 is underlined → Place value = 2 × 1000 = 2000
But without knowing which digit is underlined, we can’t give a single answer. So let’s assume the underlined digit is the first digit (leftmost) — a common practice in such problems.
So:
- (i) 2103 → Underlined: 2 → Place value = 2000 (2 × 1000)
- (ii) 4,00,493 → Underlined: 4 → This is the lakhs place? Wait — let’s check number format.
Wait! In Indian numbering system:
- 4,00,493 = 4 lakhs, 0 tens of thousands, 0 thousands, 4 hundreds, 9 tens, 3 ones
But in international system:
- 400,493 = 4 hundred thousand, 0 ten thousands, 0 thousands, 4 hundreds, 9 tens, 3 ones
So likely it's using international system, so:
- 4,00,493 = 400,493
- So, underlined 4 at the beginning → 4 × 100,000 = 400,000
Similarly:
- (iii) 9,14,825 → 914,825 → underlined 9 → 9 × 100,000 = 900,000
- (iv) 2,13,921 → 213,921 → underlined 2 → 2 × 100,000 = 200,000
✔ So assuming the first digit is underlined, answers are:
(i) 2103 → 2 is in thousands place → 2000
(ii) 4,00,493 → 4 is in hundred thousands place → 400,000
(iii) 9,14,825 → 9 is in hundred thousands place → 900,000
(iv) 2,13,921 → 2 is in hundred thousands place → 200,000
> ✔ Answer for Q1:
> - (i) 2000
> - (ii) 400,000
> - (iii) 900,000
> - (iv) 200,000
*(Note: If different digits were underlined, please specify.)*
---
Problem 2: Represent the given numbers on the abacus
We can’t draw an abacus here, but we can describe how to represent each number on an abacus.
An abacus has rods for each place value: ones, tens, hundreds, thousands, ten thousands, hundred thousands, etc.
Each rod has:
- 1 bead on top (value = 5)
- 4 beads below (each = 1)
To represent a number:
- Use beads to show the digit in each place.
Let’s do this for each:
#### (i) 67,751
Break down:
- 6 ten thousands → 6 beads in ten thousands column
- 7 thousands → 7 beads in thousands column
- 7 hundreds → 7 beads in hundreds column
- 5 tens → 5 beads in tens column (use one top bead + 0 bottom, or just 5 lower beads)
- 1 one → 1 bead in ones column
On abacus:
- Ten thousands rod: 6 lower beads up
- Thousands rod: 7 lower beads up (but only 4 available → use 1 top bead (5) + 2 lower beads → total 7)
- Hundreds rod: 7 → 1 top (5) + 2 lower → 7
- Tens rod: 5 → 1 top bead (5)
- Ones rod: 1 → 1 lower bead
#### (ii) 5,44,301 → 544,301
Digits:
- 5 hundred thousands → 5 lower beads in hundred thousands rod
- 4 ten thousands → 4 lower beads
- 4 thousands → 4 lower beads
- 3 hundreds → 3 lower beads
- 0 tens → no beads
- 1 one → 1 lower bead
#### (iii) 8,54,206 → 854,206
- 8 hundred thousands → 1 top bead (5) + 3 lower beads → 8
- 5 ten thousands → 1 top bead (5)
- 4 thousands → 4 lower beads
- 2 hundreds → 2 lower beads
- 0 tens → no beads
- 6 ones → 1 top bead (5) + 1 lower bead → 6
✔ So, abacus representation is done by setting appropriate beads per digit, using top bead for 5 and lower beads for 1–4.
> 🔹 Answer: You would set beads accordingly on the abacus as described above.
---
Problem 3: Compare the given numbers. Put >, < or = sign.
Compare each pair:
#### (i) 35,493 ___ 34,395
Compare digits from left:
- 3 vs 3 → same
- 5 vs 4 → 5 > 4 → so 35,493 > 34,395
→ 35,493 > 34,395
#### (ii) 2,90,018 ___ 8,10,092
Convert to international: 290,018 vs 810,092
First digit: 2 vs 8 → 2 < 8 → so 290,018 < 810,092
→ 2,90,018 < 8,10,092
#### (iii) 7,44,582 ___ 7,12,298
744,582 vs 712,298
First digit: 7 vs 7 → same
Second digit: 4 vs 1 → 4 > 1 → so 744,582 > 712,298
→ 7,44,582 > 7,12,298
#### (iv) 8,17,736 ___ 8,30,559
817,736 vs 830,559
First digit: 8 vs 8 → same
Second digit: 1 vs 3 → 1 < 3 → so 817,736 < 830,559
→ 8,17,736 < 8,30,559
✔ Answer for Q3:
- (i) >
- (ii) <
- (iii) >
- (iv) <
---
Problem 4: Write the given numbers in expanded form
Expanded form means writing the number as sum of place values.
#### (i) 63,498
Break into:
- 60,000 (6 × 10,000)
- 3,000 (3 × 1,000)
- 400 (4 × 100)
- 90 (9 × 10)
- 8 (8 × 1)
→ 60,000 + 3,000 + 400 + 90 + 8
#### (ii) 7,70,052 → 770,052
- 700,000 (7 × 100,000)
- 70,000 (7 × 10,000)
- 0 × 1,000 = 0
- 0 × 100 = 0
- 50 (5 × 10)
- 2 (2 × 1)
→ 700,000 + 70,000 + 50 + 2
#### (iii) 9,72,855 → 972,855
- 900,000 (9 × 100,000)
- 70,000 (7 × 10,000)
- 2,000 (2 × 1,000)
- 800 (8 × 100)
- 50 (5 × 10)
- 5 (5 × 1)
→ 900,000 + 70,000 + 2,000 + 800 + 50 + 5
✔ Answer for Q4:
- (i) 60,000 + 3,000 + 400 + 90 + 8
- (ii) 700,000 + 70,000 + 50 + 2
- (iii) 900,000 + 70,000 + 2,000 + 800 + 50 + 5
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✔ Final Answers Summary:
#### 1. Place Value (assuming first digit underlined):
- (i) 2103 → 2000
- (ii) 4,00,493 → 400,000
- (iii) 9,14,825 → 900,000
- (iv) 2,13,921 → 200,000
#### 2. Abacus Representation:
- Describe how to set beads per digit (as above). Can’t draw, but explained.
#### 3. Comparison:
- (i) 35,493 > 34,395
- (ii) 2,90,018 < 8,10,092
- (iii) 7,44,582 > 7,12,298
- (iv) 8,17,736 < 8,30,559
#### 4. Expanded Form:
- (i) 60,000 + 3,000 + 400 + 90 + 8
- (ii) 700,000 + 70,000 + 50 + 2
- (iii) 900,000 + 70,000 + 2,000 + 800 + 50 + 5
Let me know if you want visual abacus diagrams or clarification on underlined digits!
Parent Tip: Review the logic above to help your child master the concept of place value worksheet for grade 4.