- (a) $4567 mathbf{lt} 4657$ (Comparing hundreds digit: $5 < 6$)
- (b) $8001 mathbf{gt} 7999$ (Comparing thousands digit: $8 > 7$)
- (c) $3400 mathbf{=} 3400$ (Identical digits)
- (d) $6289 mathbf{gt} 6284$ (Comparing ones digit: $9 > 4$)
Q2. Arrange in Ascending Order (Smallest to Greatest):
Given: $4320, 4230, 4023, 4302$
Solution: Look at thousands (all 4), then hundreds ($0, 2, 3$).
$mathbf{4023 lt 4230 lt 4302 lt 4320}$
Q3. Arrange in Descending Order (Greatest to Smallest):
Given: $7654, 7645, 7564, 7546$
Solution:
$mathbf{7654 gt 7645 gt 7564 gt 7546}$
Worksheet 7: Forming Greatest and Smallest Numbers
Rule: To form the greatest number, write the given digits in descending order. To form the smallest number, write them in ascending order (Note: 0 cannot be written at the first place from the left).
| Given Digits | Smallest 4-Digit Number | Greatest 4-Digit Number |
|---|---|---|
| 4, 8, 2, 9 | 2489 | 9842 |
| 7, 0, 3, 5 | 3057 (not 0357 as it becomes 3 digits) | 7530 |
| 1, 6, 8, 2 | 1268 | 8621 |
| 9, 0, 0, 4 | 4009 | 9400 |
Brain Teasers (DAV CMC Textbook Questions)
Q1. Tick (✓) the correct answer:
- (a) The place value of 9 in 8905 is: 900 (✓)
- (b) 1 more than 999 is: 1000 (✓)
- (c) The difference between the place value and face value of 5 in 7523 is: Place value ($500$) – Face value ($5$) = 495 (✓)
- (d) How many hundreds are there in 2000? $2000 div 100 =$ 20 hundreds (✓)
Quick Navigation Links:
- (a) $5000 + 700 + 40 + 3 = mathbf{5743}$
- (b) $8000 + 60 + 9 = mathbf{8069}$
- (c) $4000 + 200 + 8 = mathbf{4208}$
- (d) $7000 + 300 = mathbf{7300}$
- (e) $9000 + 9 = mathbf{9009}$
Worksheet 5: Successor and Predecessor
Rules:
• Successor: The number that comes just after ($text{Number} + 1$).
• Predecessor: The number that comes just before ($text{Number} – 1$).
| Given Number | Predecessor ($text{Number} – 1$) | Successor ($text{Number} + 1$) |
|---|---|---|
| 4500 | 4499 | 4501 |
| 3999 | 3998 | 4000 |
| 8000 | 7999 | 8001 |
| 5249 | 5248 | 5250 |
| 1000 | 999 | 1001 |
Worksheet 6: Comparing and Ordering Numbers
Q1. Compare using >, < or =:
- (a) $4567 mathbf{lt} 4657$ (Comparing hundreds digit: $5 < 6$)
- (b) $8001 mathbf{gt} 7999$ (Comparing thousands digit: $8 > 7$)
- (c) $3400 mathbf{=} 3400$ (Identical digits)
- (d) $6289 mathbf{gt} 6284$ (Comparing ones digit: $9 > 4$)
Q2. Arrange in Ascending Order (Smallest to Greatest):
Given: $4320, 4230, 4023, 4302$
Solution: Look at thousands (all 4), then hundreds ($0, 2, 3$).
$mathbf{4023 lt 4230 lt 4302 lt 4320}$
Q3. Arrange in Descending Order (Greatest to Smallest):
Given: $7654, 7645, 7564, 7546$
Solution:
$mathbf{7654 gt 7645 gt 7564 gt 7546}$
Worksheet 7: Forming Greatest and Smallest Numbers
Rule: To form the greatest number, write the given digits in descending order. To form the smallest number, write them in ascending order (Note: 0 cannot be written at the first place from the left).
| Given Digits | Smallest 4-Digit Number | Greatest 4-Digit Number |
|---|---|---|
| 4, 8, 2, 9 | 2489 | 9842 |
| 7, 0, 3, 5 | 3057 (not 0357 as it becomes 3 digits) | 7530 |
| 1, 6, 8, 2 | 1268 | 8621 |
| 9, 0, 0, 4 | 4009 | 9400 |
Brain Teasers (DAV CMC Textbook Questions)
Q1. Tick (✓) the correct answer:
- (a) The place value of 9 in 8905 is: 900 (✓)
- (b) 1 more than 999 is: 1000 (✓)
- (c) The difference between the place value and face value of 5 in 7523 is: Place value ($500$) – Face value ($5$) = 495 (✓)
- (d) How many hundreds are there in 2000? $2000 div 100 =$ 20 hundreds (✓)
Quick Navigation Links:
- (a) $6384 = mathbf{6000 + 300 + 80 + 4}$
- (b) $8075 = mathbf{8000 + 0 + 70 + 5}$ (or $8000 + 70 + 5$)
- (c) $4502 = mathbf{4000 + 500 + 0 + 2}$ (or $4000 + 500 + 2$)
- (d) $9990 = mathbf{9000 + 900 + 90}$
- (e) $3421 = mathbf{3000 + 400 + 20 + 1}$
Q2. Write the Standard (Short) Form:
- (a) $5000 + 700 + 40 + 3 = mathbf{5743}$
- (b) $8000 + 60 + 9 = mathbf{8069}$
- (c) $4000 + 200 + 8 = mathbf{4208}$
- (d) $7000 + 300 = mathbf{7300}$
- (e) $9000 + 9 = mathbf{9009}$
Worksheet 5: Successor and Predecessor
Rules:
• Successor: The number that comes just after ($text{Number} + 1$).
• Predecessor: The number that comes just before ($text{Number} – 1$).
| Given Number | Predecessor ($text{Number} – 1$) | Successor ($text{Number} + 1$) |
|---|---|---|
| 4500 | 4499 | 4501 |
| 3999 | 3998 | 4000 |
| 8000 | 7999 | 8001 |
| 5249 | 5248 | 5250 |
| 1000 | 999 | 1001 |
Worksheet 6: Comparing and Ordering Numbers
Q1. Compare using >, < or =:
- (a) $4567 mathbf{lt} 4657$ (Comparing hundreds digit: $5 < 6$)
- (b) $8001 mathbf{gt} 7999$ (Comparing thousands digit: $8 > 7$)
- (c) $3400 mathbf{=} 3400$ (Identical digits)
- (d) $6289 mathbf{gt} 6284$ (Comparing ones digit: $9 > 4$)
Q2. Arrange in Ascending Order (Smallest to Greatest):
Given: $4320, 4230, 4023, 4302$
Solution: Look at thousands (all 4), then hundreds ($0, 2, 3$).
$mathbf{4023 lt 4230 lt 4302 lt 4320}$
Q3. Arrange in Descending Order (Greatest to Smallest):
Given: $7654, 7645, 7564, 7546$
Solution:
$mathbf{7654 gt 7645 gt 7564 gt 7546}$
Worksheet 7: Forming Greatest and Smallest Numbers
Rule: To form the greatest number, write the given digits in descending order. To form the smallest number, write them in ascending order (Note: 0 cannot be written at the first place from the left).
| Given Digits | Smallest 4-Digit Number | Greatest 4-Digit Number |
|---|---|---|
| 4, 8, 2, 9 | 2489 | 9842 |
| 7, 0, 3, 5 | 3057 (not 0357 as it becomes 3 digits) | 7530 |
| 1, 6, 8, 2 | 1268 | 8621 |
| 9, 0, 0, 4 | 4009 | 9400 |
Brain Teasers (DAV CMC Textbook Questions)
Q1. Tick (✓) the correct answer:
- (a) The place value of 9 in 8905 is: 900 (✓)
- (b) 1 more than 999 is: 1000 (✓)
- (c) The difference between the place value and face value of 5 in 7523 is: Place value ($500$) – Face value ($5$) = 495 (✓)
- (d) How many hundreds are there in 2000? $2000 div 100 =$ 20 hundreds (✓)
Quick Navigation Links:
- (a) 4832 → Underlined digit 8 is in Tens place = 80
- (b) 6109 → Underlined digit 6 is in Thousands place = 6000
- (c) 3905 → Underlined digit 0 is in Tens place = 0 (The place value of 0 is always 0)
- (d) 7451 → Underlined digit 4 is in Hundreds place = 400
- (e) 9028 → Underlined digit 8 is in Ones place = 8
Worksheet 4: Expanded Form and Short (Standard) Form
Q1. Write the following numbers in Expanded Form:
- (a) $6384 = mathbf{6000 + 300 + 80 + 4}$
- (b) $8075 = mathbf{8000 + 0 + 70 + 5}$ (or $8000 + 70 + 5$)
- (c) $4502 = mathbf{4000 + 500 + 0 + 2}$ (or $4000 + 500 + 2$)
- (d) $9990 = mathbf{9000 + 900 + 90}$
- (e) $3421 = mathbf{3000 + 400 + 20 + 1}$
Q2. Write the Standard (Short) Form:
- (a) $5000 + 700 + 40 + 3 = mathbf{5743}$
- (b) $8000 + 60 + 9 = mathbf{8069}$
- (c) $4000 + 200 + 8 = mathbf{4208}$
- (d) $7000 + 300 = mathbf{7300}$
- (e) $9000 + 9 = mathbf{9009}$
Worksheet 5: Successor and Predecessor
Rules:
• Successor: The number that comes just after ($text{Number} + 1$).
• Predecessor: The number that comes just before ($text{Number} – 1$).
| Given Number | Predecessor ($text{Number} – 1$) | Successor ($text{Number} + 1$) |
|---|---|---|
| 4500 | 4499 | 4501 |
| 3999 | 3998 | 4000 |
| 8000 | 7999 | 8001 |
| 5249 | 5248 | 5250 |
| 1000 | 999 | 1001 |
Worksheet 6: Comparing and Ordering Numbers
Q1. Compare using >, < or =:
- (a) $4567 mathbf{lt} 4657$ (Comparing hundreds digit: $5 < 6$)
- (b) $8001 mathbf{gt} 7999$ (Comparing thousands digit: $8 > 7$)
- (c) $3400 mathbf{=} 3400$ (Identical digits)
- (d) $6289 mathbf{gt} 6284$ (Comparing ones digit: $9 > 4$)
Q2. Arrange in Ascending Order (Smallest to Greatest):
Given: $4320, 4230, 4023, 4302$
Solution: Look at thousands (all 4), then hundreds ($0, 2, 3$).
$mathbf{4023 lt 4230 lt 4302 lt 4320}$
Q3. Arrange in Descending Order (Greatest to Smallest):
Given: $7654, 7645, 7564, 7546$
Solution:
$mathbf{7654 gt 7645 gt 7564 gt 7546}$
Worksheet 7: Forming Greatest and Smallest Numbers
Rule: To form the greatest number, write the given digits in descending order. To form the smallest number, write them in ascending order (Note: 0 cannot be written at the first place from the left).
| Given Digits | Smallest 4-Digit Number | Greatest 4-Digit Number |
|---|---|---|
| 4, 8, 2, 9 | 2489 | 9842 |
| 7, 0, 3, 5 | 3057 (not 0357 as it becomes 3 digits) | 7530 |
| 1, 6, 8, 2 | 1268 | 8621 |
| 9, 0, 0, 4 | 4009 | 9400 |
Brain Teasers (DAV CMC Textbook Questions)
Q1. Tick (✓) the correct answer:
- (a) The place value of 9 in 8905 is: 900 (✓)
- (b) 1 more than 999 is: 1000 (✓)
- (c) The difference between the place value and face value of 5 in 7523 is: Place value ($500$) – Face value ($5$) = 495 (✓)
- (d) How many hundreds are there in 2000? $2000 div 100 =$ 20 hundreds (✓)
Quick Navigation Links:
- (a) Five thousand four hundred twelve = 5412
- (b) Nine thousand seventy = 9070
- (c) Seven thousand eight hundred = 7800
- (d) Two thousand five = 2005
- (e) Six thousand one hundred sixty-six = 6166
- (f) Eight thousand three hundred forty-nine = 8349
Worksheet 3: Place Value and Face Value
Definition:
• Face Value: The value of the digit itself, regardless of its position.
• Place Value: The value of a digit depending on its place in the number ($text{Face Value} times text{Place Value of position}$).
Example Analysis for Numeral 7,582:
| Digit | Place in Chart | Face Value | Place Value Calculation | Place Value |
|---|---|---|---|---|
| 2 | Ones place | 2 | $2 times 1$ | 2 |
| 8 | Tens place | 8 | $8 times 10$ | 80 |
| 5 | Hundreds place | 5 | $5 times 100$ | 500 |
| 7 | Thousands place | 7 | $7 times 1000$ | 7,000 |
Q. Find the place value of the underlined digit:
- (a) 4832 → Underlined digit 8 is in Tens place = 80
- (b) 6109 → Underlined digit 6 is in Thousands place = 6000
- (c) 3905 → Underlined digit 0 is in Tens place = 0 (The place value of 0 is always 0)
- (d) 7451 → Underlined digit 4 is in Hundreds place = 400
- (e) 9028 → Underlined digit 8 is in Ones place = 8
Worksheet 4: Expanded Form and Short (Standard) Form
Q1. Write the following numbers in Expanded Form:
- (a) $6384 = mathbf{6000 + 300 + 80 + 4}$
- (b) $8075 = mathbf{8000 + 0 + 70 + 5}$ (or $8000 + 70 + 5$)
- (c) $4502 = mathbf{4000 + 500 + 0 + 2}$ (or $4000 + 500 + 2$)
- (d) $9990 = mathbf{9000 + 900 + 90}$
- (e) $3421 = mathbf{3000 + 400 + 20 + 1}$
Q2. Write the Standard (Short) Form:
- (a) $5000 + 700 + 40 + 3 = mathbf{5743}$
- (b) $8000 + 60 + 9 = mathbf{8069}$
- (c) $4000 + 200 + 8 = mathbf{4208}$
- (d) $7000 + 300 = mathbf{7300}$
- (e) $9000 + 9 = mathbf{9009}$
Worksheet 5: Successor and Predecessor
Rules:
• Successor: The number that comes just after ($text{Number} + 1$).
• Predecessor: The number that comes just before ($text{Number} – 1$).
| Given Number | Predecessor ($text{Number} – 1$) | Successor ($text{Number} + 1$) |
|---|---|---|
| 4500 | 4499 | 4501 |
| 3999 | 3998 | 4000 |
| 8000 | 7999 | 8001 |
| 5249 | 5248 | 5250 |
| 1000 | 999 | 1001 |
Worksheet 6: Comparing and Ordering Numbers
Q1. Compare using >, < or =:
- (a) $4567 mathbf{lt} 4657$ (Comparing hundreds digit: $5 < 6$)
- (b) $8001 mathbf{gt} 7999$ (Comparing thousands digit: $8 > 7$)
- (c) $3400 mathbf{=} 3400$ (Identical digits)
- (d) $6289 mathbf{gt} 6284$ (Comparing ones digit: $9 > 4$)
Q2. Arrange in Ascending Order (Smallest to Greatest):
Given: $4320, 4230, 4023, 4302$
Solution: Look at thousands (all 4), then hundreds ($0, 2, 3$).
$mathbf{4023 lt 4230 lt 4302 lt 4320}$
Q3. Arrange in Descending Order (Greatest to Smallest):
Given: $7654, 7645, 7564, 7546$
Solution:
$mathbf{7654 gt 7645 gt 7564 gt 7546}$
Worksheet 7: Forming Greatest and Smallest Numbers
Rule: To form the greatest number, write the given digits in descending order. To form the smallest number, write them in ascending order (Note: 0 cannot be written at the first place from the left).
| Given Digits | Smallest 4-Digit Number | Greatest 4-Digit Number |
|---|---|---|
| 4, 8, 2, 9 | 2489 | 9842 |
| 7, 0, 3, 5 | 3057 (not 0357 as it becomes 3 digits) | 7530 |
| 1, 6, 8, 2 | 1268 | 8621 |
| 9, 0, 0, 4 | 4009 | 9400 |
Brain Teasers (DAV CMC Textbook Questions)
Q1. Tick (✓) the correct answer:
- (a) The place value of 9 in 8905 is: 900 (✓)
- (b) 1 more than 999 is: 1000 (✓)
- (c) The difference between the place value and face value of 5 in 7523 is: Place value ($500$) – Face value ($5$) = 495 (✓)
- (d) How many hundreds are there in 2000? $2000 div 100 =$ 20 hundreds (✓)
Quick Navigation Links:
DAV Board Class 3 Mathematics (Primary Mathematics) | 100% Authentic Textbook Solutions
DAV Class 3 Maths Unit 1 Solutions Numbers Up to 9999
Get complete, step-by-step textbook solutions for DAV Class 3 Primary Mathematics Unit 1: Numbers Up to 9999. This unit covers all worksheets on reading and writing 4-digit numerals, number names, place value and face value charts, expanded and standard forms, successor and predecessor, comparing numbers, ascending/descending order, and building greatest/smallest 4-digit numbers following the official DAV CMC curriculum.
| Class | Subject | Textbook | Unit Number & Title | Key Mathematical Concepts |
|---|---|---|---|---|
| Class 3 | Mathematics | Primary Mathematics | Unit 1: Numbers Up to 9999 | 4-digit numbers, place value, expanded form, ordering, successor & predecessor |
Worksheet 1 & 2: Reading and Writing 4-Digit Numbers
Key Concept: 10 Hundreds make 1 Thousand ($10 times 100 = 1000$).
• The smallest 4-digit number is 1000 (One thousand).
• The greatest 4-digit number is 9999 (Nine thousand nine hundred ninety-nine).
Q1. Write the number names (in words) for the following numerals:
| Numeral | Place Value Breakdown (Th H T O) | Number Name (In Words) |
|---|---|---|
| 4567 | 4 Thousands, 5 Hundreds, 6 Tens, 7 Ones | Four thousand five hundred sixty-seven |
| 8092 | 8 Thousands, 0 Hundreds, 9 Tens, 2 Ones | Eight thousand ninety-two |
| 7600 | 7 Thousands, 6 Hundreds, 0 Tens, 0 Ones | Seven thousand six hundred |
| 3004 | 3 Thousands, 0 Hundreds, 0 Tens, 4 Ones | Three thousand four |
| 9999 | 9 Thousands, 9 Hundreds, 9 Tens, 9 Ones | Nine thousand nine hundred ninety-nine |
| 5118 | 5 Thousands, 1 Hundred, 1 Ten, 8 Ones | Five thousand one hundred eighteen |
Q2. Write the numerals (figures) for the following number names:
- (a) Five thousand four hundred twelve = 5412
- (b) Nine thousand seventy = 9070
- (c) Seven thousand eight hundred = 7800
- (d) Two thousand five = 2005
- (e) Six thousand one hundred sixty-six = 6166
- (f) Eight thousand three hundred forty-nine = 8349
Worksheet 3: Place Value and Face Value
Definition:
• Face Value: The value of the digit itself, regardless of its position.
• Place Value: The value of a digit depending on its place in the number ($text{Face Value} times text{Place Value of position}$).
Example Analysis for Numeral 7,582:
| Digit | Place in Chart | Face Value | Place Value Calculation | Place Value |
|---|---|---|---|---|
| 2 | Ones place | 2 | $2 times 1$ | 2 |
| 8 | Tens place | 8 | $8 times 10$ | 80 |
| 5 | Hundreds place | 5 | $5 times 100$ | 500 |
| 7 | Thousands place | 7 | $7 times 1000$ | 7,000 |
Q. Find the place value of the underlined digit:
- (a) 4832 → Underlined digit 8 is in Tens place = 80
- (b) 6109 → Underlined digit 6 is in Thousands place = 6000
- (c) 3905 → Underlined digit 0 is in Tens place = 0 (The place value of 0 is always 0)
- (d) 7451 → Underlined digit 4 is in Hundreds place = 400
- (e) 9028 → Underlined digit 8 is in Ones place = 8
Worksheet 4: Expanded Form and Short (Standard) Form
Q1. Write the following numbers in Expanded Form:
- (a) $6384 = mathbf{6000 + 300 + 80 + 4}$
- (b) $8075 = mathbf{8000 + 0 + 70 + 5}$ (or $8000 + 70 + 5$)
- (c) $4502 = mathbf{4000 + 500 + 0 + 2}$ (or $4000 + 500 + 2$)
- (d) $9990 = mathbf{9000 + 900 + 90}$
- (e) $3421 = mathbf{3000 + 400 + 20 + 1}$
Q2. Write the Standard (Short) Form:
- (a) $5000 + 700 + 40 + 3 = mathbf{5743}$
- (b) $8000 + 60 + 9 = mathbf{8069}$
- (c) $4000 + 200 + 8 = mathbf{4208}$
- (d) $7000 + 300 = mathbf{7300}$
- (e) $9000 + 9 = mathbf{9009}$
Worksheet 5: Successor and Predecessor
Rules:
• Successor: The number that comes just after ($text{Number} + 1$).
• Predecessor: The number that comes just before ($text{Number} – 1$).
| Given Number | Predecessor ($text{Number} – 1$) | Successor ($text{Number} + 1$) |
|---|---|---|
| 4500 | 4499 | 4501 |
| 3999 | 3998 | 4000 |
| 8000 | 7999 | 8001 |
| 5249 | 5248 | 5250 |
| 1000 | 999 | 1001 |
Worksheet 6: Comparing and Ordering Numbers
Q1. Compare using >, < or =:
- (a) $4567 mathbf{lt} 4657$ (Comparing hundreds digit: $5 < 6$)
- (b) $8001 mathbf{gt} 7999$ (Comparing thousands digit: $8 > 7$)
- (c) $3400 mathbf{=} 3400$ (Identical digits)
- (d) $6289 mathbf{gt} 6284$ (Comparing ones digit: $9 > 4$)
Q2. Arrange in Ascending Order (Smallest to Greatest):
Given: $4320, 4230, 4023, 4302$
Solution: Look at thousands (all 4), then hundreds ($0, 2, 3$).
$mathbf{4023 lt 4230 lt 4302 lt 4320}$
Q3. Arrange in Descending Order (Greatest to Smallest):
Given: $7654, 7645, 7564, 7546$
Solution:
$mathbf{7654 gt 7645 gt 7564 gt 7546}$
Worksheet 7: Forming Greatest and Smallest Numbers
Rule: To form the greatest number, write the given digits in descending order. To form the smallest number, write them in ascending order (Note: 0 cannot be written at the first place from the left).
| Given Digits | Smallest 4-Digit Number | Greatest 4-Digit Number |
|---|---|---|
| 4, 8, 2, 9 | 2489 | 9842 |
| 7, 0, 3, 5 | 3057 (not 0357 as it becomes 3 digits) | 7530 |
| 1, 6, 8, 2 | 1268 | 8621 |
| 9, 0, 0, 4 | 4009 | 9400 |
Brain Teasers (DAV CMC Textbook Questions)
Q1. Tick (✓) the correct answer:
- (a) The place value of 9 in 8905 is: 900 (✓)
- (b) 1 more than 999 is: 1000 (✓)
- (c) The difference between the place value and face value of 5 in 7523 is: Place value ($500$) – Face value ($5$) = 495 (✓)
- (d) How many hundreds are there in 2000? $2000 div 100 =$ 20 hundreds (✓)
Quick Navigation Links: