Number System

Fill each of the boxes with the correct symbol > or

Q1: Compare: 98,760 ______ 1,02,235

➡ First, compare the number of digits:
98,760 has 5 digits
1,02,235 has 6 digits
➡ A 6-digit number is always greater than a 5-digit number.
∴ 98,760 < 1,02,235

Q2: Compare: 5,43,210 ______ 98,306

➡ Compare digits:
5,43,210 (6 digits) > 98,306 (5 digits)
∴ 5,43,210 > 98,306

Q3: Compare: 2,13,576 ______ 67,531

➡ 6-digit number vs 5-digit number:
∴ 2,13,576 > 67,531

Q4: Compare: 3,02,368 ______ 50,545

➡ 6-digit number vs 5-digit number:
∴ 3,02,368 > 50,545

Q5: Compare: 76,134 ______ 76,079

➡ Both numbers have 5 digits
Compare digit-by-digit:
Tens place: 3 > 7 → No
Wait! Units: 4 > 9? No.
→ Let’s just subtract:
76,134 – 76,079 = 55
∴ 76,134 > 76,079

Q6: Compare: 6,40,729 ______ 6,41,304

➡ Compare digit-by-digit:
Lakhs place: 6 = 6
Thousands: 40 vs 41 → 41 is greater
∴ 6,40,729 < 6,41,304

Q7: Compare: 35,79,018 ______ 35,80,024

➡ Lakhs same
Thousands: 79 vs 80 → 80 is greater
∴ 35,79,018 < 35,80,024

Q8: Compare: 83,21,067 ______ 83,12,076

➡ Lakhs same
Thousands: 21 vs 12 → 21 is greater
∴ 83,21,067 > 83,12,076

Q9: Compare: 54,63,217 ______ 54,62,378

➡ Compare thousands: 63 vs 62 → 63 is greater
∴ 54,63,217 > 54,62,378

Q10: Compare: 35,80,624 ______ 35,876,002

➡ Check digit count: 6-digit vs 7-digit
∴ 35,80,624 < 35,876,002

Arrange the following numbers in ascending order:

Q11: 57,860; 60,375; 57,906; 61,435; 60,296; 61,380

➡ Let’s sort from smallest to greatest:
Step 1: Compare 57,860 and 57,906 → 57,860 is smaller
Step 2: Next smallest: 60,296 (smaller than 60,375)
Step 3: 60,375 → next
Step 4: 61,380 < 61,435

Answer: 57,860 < 57,906 < 60,296 < 60,375 < 61,380 < 61,435

Q12: 7,15,840; 98,756; 8,94,105; 17,18,195; 98,678; 8,95,103

➡ Start by sorting based on number of digits:
→ 98,678 and 98,756 are 5-digit numbers
→ Rest are 6-digit or 7-digit

Step 1: 98,678
Step 2: 98,756
Step 3: 7,15,840
Step 4: 8,94,105
Step 5: 8,95,103
Step 6: 17,18,195 (7-digit, largest)

Answer: 98,678 < 98,756 < 7,15,840 < 8,94,105 < 8,95,103 < 17,18,195

Q13: 5,01,462; 5,01,076; 5,00,984; 5,02,000; 5,10,010; 4,56,780

➡ All are 6-digit numbers, compare directly:
Step 1: 4,56,780
Step 2: 5,00,984
Step 3: 5,01,076
Step 4: 5,01,462
Step 5: 5,02,000
Step 6: 5,10,010

Answer: 4,56,780 < 5,00,984 < 5,01,076 < 5,01,462 < 5,02,000 < 5,10,010

Arrange the following numbers in descending order :

Q14: 16,13,241; 7,54,328; 7,52,987; 16,04,895; 7,53,024; 16,20,342

➡ Arrange from largest to smallest:
Step 1: 16,20,342
Step 2: 16,13,241
Step 3: 16,04,895
Step 4: 7,54,328
Step 5: 7,53,024
Step 6: 7,52,987

Answer: 16,20,342 > 16,13,241 > 16,04,895 > 7,54,328 > 7,53,024 > 7,52,987

Q15: 93,68,516; 1,05,40,603; 9,10,32,401; 93,67,839; 1,05,41,201

➡ Note: 9,10,32,401 is an 8-digit number, so it’s the largest
Then compare 1,05,41,201 > 1,05,40,603
Then 93,68,516 > 93,67,839

Answer: 9,10,32,401 > 1,05,41,201 > 1,05,40,603 > 93,68,516 > 93,67,839

Q16: 1,48,65,710; 2,05,07,106; 3,00,08,215; 27,86,789; 28,76,879

➡ Largest to smallest:
Step 1: 3,00,08,215
Step 2: 2,05,07,106
Step 3: 1,48,65,710
Step 4: 28,76,879
Step 5: 27,86,789

Answer: 3,00,08,215 > 2,05,07,106 > 1,48,65,710 > 28,76,879 > 27,86,789