Knowing our Numbers — Important Questions

Fifty million seven hundred three thousand eighty

Step 1: In the International System, commas are placed after every 3 digits from the right: 50,703,080. Step 2: The rightmost group (080) = eighty. The middle group (703) = seven hundred three thousand. The leftmost group (50) = fifty million. Step 3: Reading together: Fifty million, seven hundred three thousand, eighty. Step 4: Note — Option B is the Indian system reading, not International. Option C misreads 703 as 73. Final Answer: Fifty million seven hundred three thousand eighty. Common mistake: Students confuse Indian and International systems of reading.

7,41,933

Step 1: Digits available: 9, 5, 0, 3, 7, 2. Greatest 6-digit number = arrange digits in descending order = 9,75,320. Step 2: Smallest 6-digit number = arrange in ascending order, but 0 cannot be the leading digit. So smallest = 2,03,579. Step 3: Difference = 9,75,320 − 2,03,579. 9,75,320 − 2,03,579: Ones: 10+0−9=1, borrow. Tens: 10+2−1−7 (with borrow)... Let us compute directly: 975320 − 203579 = 771741. Wait, let me recompute: 975320 − 203579. 975320 − 200000 = 775320. 775320 − 3579 = 771741. Step 4: Hmm, let me recheck greatest and smallest. Greatest: 9,75,320. Smallest: 2,03,579. 975320 − 2

1,06,950

Step 1: Daily production = 3,450 toys. Number of days in March = 31. Step 2: Total toys = 3,450 × 31. Step 3: Break 31 = 30 + 1. So 3,450 × 30 = 1,03,500 and 3,450 × 1 = 3,450. Step 4: Total = 1,03,500 + 3,450 = 1,06,950. Final Answer: 1,06,950 toys. Common mistake: Students often use 30 days for March instead of 31, giving 1,03,500 — a tempting wrong option.

Four crore nine lakh eight thousand seventy

Step 1: Write the number in the placement box system. 4 | 09 | 08 | 070 → Crores=4, Lakhs=09, Thousands=08, Ones group=070. Step 2: Crores place: 4 crore. Lakh place: 09 lakh = nine lakh. Thousands place: 08 thousand = eight thousand. Hundreds/Tens/Ones: 070 = seventy. Step 3: Reading: Four crore nine lakh eight thousand seventy. Step 4: Note the zeros are place-holders — they must NOT be read as values. Final Answer: Four crore nine lakh eight thousand seventy. Common mistake: Students misread 09 lakh as ninety lakh or 08 thousand as eighty thousand by not recognising leading zeros.