Exercise: 1-B
Q1: Which is greater?
i. 537 > 98
ii. 2428 > 529
iii. 259467 < 1035729
iv. 63520 > 63250
Q2: Which is smaller?
i. 428 < 437
ii. 2497 < 2597
iii. 3297 < 3596
iv. 380362 < 381007
Q3: By making a suitable chart, compare :
i. 540276 and 369998
Compare the numbers using place value charts: 540276 and 369998
Step 1: Write both numbers in the place value chart
| Lakh | Ten Thousand | Thousand | Hundred | Ten | One |
|---|---|---|---|---|---|
| 5 | 4 | 0 | 2 | 7 | 6 |
| 3 | 6 | 9 | 9 | 9 | 8 |
| ↑ First row = 540276 | Second row = 369998 | |||||
Step 2: Compare digit by digit from left to right
Lakh place: First number has 5, Second has 3
Since 5 > 3, we can directly say:
Answer: 540276 > 369998
ii.6983245 and 6893254
Step 1: Write both numbers in the place value chart
| Ten Lakh | Lakh | Ten Thousand | Thousand | Hundred | Ten | One |
|---|---|---|---|---|---|---|
| 6 | 9 | 8 | 3 | 2 | 4 | 5 |
| 6 | 8 | 9 | 3 | 2 | 5 | 4 |
| ↑ First row = 6983245 | Second row = 6893254 | ||||||
Step 2: Compare digit by digit from left to right
Ten Lakh place: Both numbers have 6 → Move to next place.
Lakh place: First number has 9, Second has 8.
Since 9 > 8, we can conclude:
Answer: 6983245 > 6893254
Q4: Compare the numbers written in the following table by writing them in ascending order :
Step 1: Write all numbers in a place value chart
| Crore | Ten Lakh | Lakh | Ten Thousand | Thousand | Hundred | Ten | One |
|---|---|---|---|---|---|---|---|
| – | 5 | 4 | 3 | 2 | 9 | 7 | 2 |
| 2 | 3 | 1 | 0 | 9 | 2 | 9 | 3 |
| – | 5 | 2 | 2 | 3 | 7 | 9 | 1 |
| 2 | 3 | 1 | 8 | 2 | 6 | 3 | 4 |
| 5 | 4 | 3 | 4 | 4 | 7 | 8 | 2 |
Step 2: Compare digit by digit from the left (Crore place)
– 54344782 → Crore = 5
– 23182634 → Crore = 2
– 23109293 → Crore = 2
– 5432972 → No crore digit
– 5223791 → No crore digit
Clearly, 54344782 is the greatest number.
Step 3: Write the numbers in ascending and descending order
Ascending Order: 5223791 < 5432972 < 23109293 < 23182634 < 54344782
Descending Order: 54344782 > 23182634 > 23109293 > 5432972 > 5223791
Q5: Use a place value chart to compare the given numbers and write them in descending order :
Step 1: Write all numbers in a place value chart
| Ten Lakh | Lakh | Ten Thousand | Thousand | Hundred | Ten | One |
|---|---|---|---|---|---|---|
| – | 5 | 4 | 3 | 2 | 8 | 7 |
| 5 | 4 | 8 | 2 | 9 | 0 | 0 |
| 2 | 7 | 3 | 2 | 9 | 4 | 0 |
| – | – | 4 | 3 | 8 | 7 | 7 |
| – | – | 7 | 8 | 3 | 9 | 6 |
| – | – | – | 4 | 9 | 9 | 9 |
Step 2: Compare numbers by highest place value
– 5482900 → 7-digit number (5 Ten Lakhs)
– 2732940 → 7-digit number (2 Ten Lakhs)
– 543287 → 6-digit number
– 78396 → 5-digit number
– 43877 → 5-digit number
– 4999 → 4-digit number
Clearly, 5482900 is the greatest and 4999 is the smallest.
Step 3: Final Descending Order
Answer: Descending Order: 5482900 > 2732940 > 543287 > 78396 > 43877 > 4999
Q6: Find the smallest and the greatest numbers in each of the cases given below :
i. 983, 5754, 84 and 5942
Answer: Smallest = 84, Greatest = 5942
ii. 32849, 53628, 5499 and 54909
Answer: Smallest = 5499, Greatest = 54909
Q7: Form the greatest and the smallest 4-digit numbers using the given digits, Without repetition:
i. 3, 7, 2 and 5
Answer: Greatest = 7532, Smallest = 2357
ii. 6, 1, 4 and 9
Answer: Greatest = 9641, Smallest = 1469
iii. 7, 0, 4 and 2
Answer: Greatest = 7420, Smallest = 2047
iv. 1, 8, 5 and 3
Answer: Greatest = 8531, Smallest = 1358
v. 9, 6, 0 and 7
Answer: Greatest = 9760, Smallest = 6079
vi. 9, 5, 8 and 1
Answer: Greatest = 9851, Smallest = 1589
Q8: Form the greatest and the smallest 4-digit numbers using any four different digits, with the condition that digit 5 is always at the ten’s place.
Answer: 9857 (Greatest), 1052 (Smallest)
Q9: Form the largest number with the digits 2, 3, 5, 9, 6 and 0, without repetition of any digit.
Answer: 965320
Q10: Write the smallest and the greatest 4-digit numbers, without repetition of any digit.
Answer: Smallest = 1023, Greatest = 9876
Q11: Find the sum of the largest and the smallest four-digit numbers.
1000 + 9999 = 10999
Answer: 10999
Q12: Form the greatest and the smallest five-digit numbers with 8 in the hundred’s place and with all the digits different.
Answer: Smallest = 10823, Greatest = 97865
Q13: Find the difference between the smallest and the greatest six-digit numbers.
999999 − 100000 = 899999
Answer: 899999
Q14:
i. How many four-digit numbers are there between 999 and 3000?
Between 999 and 3000 → 3000 − 1000 = 2000
Answer: 2000
ii. How many four-digit numbers are there between 99 and 3000?
Between 99 and 3000 → Start = 1000, End = 2999 → Count = 2000
Answer: 2000
Q15: How many four-digit numbers are there between 1001 and 4000?
→ 4000 − 1001 − 1 = 2998
Answer: 2998
Q16: Write all the possible three-digit numbers using the digits 3, 6 and 8, if repetition of any digit is not allowed.
Total: 3! = 6
Answer: 368, 386, 638, 683, 836, 863
Q17: Form the greatest and the smallest 4-digit numbers using the digits 5, 4, 7 and 9 (without repeating the digits) and with the condition that :
i. 7 is at the ones place.
Answer: Greatest = 9547, Smallest = 4597
ii. 9 is at the tens place.
Answer: Greatest = 7594, Smallest = 4597
iii. 4 is at the hundreds place
Answer: Greatest = 9475, Smallest = 5479
