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Mathematics

Find the greatest and the smallest numbers in each row:

(i) 71834, 75284, 571, 2333, 594

(ii) 9853, 7691, 9999, 12002

Number System

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Answer

(i) 71834, 75284, 571, 2333, 594

The number of digits in each number:

71834 → 5 digits

75284 → 5 digits

571 → 3 digits

2333 → 4 digits

594 → 3 digits

Comparing the 5-digit numbers 71834 and 75284:

The ten thousands digit is 7 in both, the thousands digit is 1 in 71834 and 5 in 75284. Since 5 > 1, 75284 > 71834.

So the greatest number is 75284.

Comparing the 3-digit numbers 571 and 594:

The hundreds digit is 5 in both, the tens digit is 7 in 571 and 9 in 594. Since 7 < 9, 571 < 594.

So the smallest number is 571.

Hence, the greatest number is 75284 and the smallest number is 571.

(ii) 9853, 7691, 9999, 12002

The number of digits in each number:

9853 → 4 digits

7691 → 4 digits

9999 → 4 digits

12002 → 5 digits

12002 has 5 digits while the others have 4 digits, so 12002 is the greatest.

Comparing the 4-digit numbers:

9853, 7691, 9999. The thousands digit is 9, 7, 9 respectively. So 7691 is the smallest among them.

Hence, the greatest number is 12002 and the smallest number is 7691.

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