Mathematics worksheet for practicing large numbers, including identifying greatest and smallest values, arranging numbers, and forming 4-digit numbers.

Explanation:
Let’s solve each part step by step.

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1. Find the greatest and smallest numbers in each set

We compare numbers digit by digit, starting from the leftmost digit (highest place value).

(a) 4536, 4892, 4370, 4452
All are 4-digit numbers. Compare thousands digit → all are 4.
Now hundreds digit:
- 4536 → 5
- 4892 → 8
- 4370 → 3
- 4452 → 4

So highest hundreds digit is 8 → 4892 is greatest.
Lowest hundreds digit is 3 → 4370 is smallest.

✔ Greatest = 4892, Smallest = 4370

(b) 15623, 15073, 15189, 15800
All are 5-digit, start with 15…
Compare thousands digit (3rd digit):
- 15623 → 6
- 15073 → 0
- 15189 → 1
- 15800 → 8

So greatest: 15800 (8 > 6 > 1 > 0)
Smallest: 15073 (0 is smallest)

✔ Greatest = 15800, Smallest = 15073

(c) 25286, 25245, 25270, 25210
All start with 252…
Compare tens digit (4th digit):
- 25286 → 8
- 25245 → 4
- 25270 → 7
- 25210 → 1

Greatest: 25286 (8 highest)
Smallest: 25210 (1 lowest)

✔ Greatest = 25286, Smallest = 25210

(d) 6895, 23787, 24569, 24659
Note: 6895 is 4-digit; others are 5-digit → so 6895 is definitely smallest.
Now compare the 5-digit numbers:
23787, 24569, 24659
Thousands digit:
- 23787 → 3
- 24569 → 4
- 24659 → 4

So 23787 < 24569 and 24659
Between 24569 and 24659: compare hundreds digit → 5 vs 6 → 24659 > 24569
So greatest = 24659

✔ Greatest = 24659, Smallest = 6895

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2. Use given digits (no repetition) to make greatest and smallest 4-digit numbers

Rule:
- Greatest: arrange digits in descending order.
- Smallest: arrange digits in ascending order — but cannot start with 0 if 0 is included.

(a) 2, 3, 7, 4
Descending: 7,4,3,2 → 7432
Ascending: 2,3,4,7 → 2347

✔ Greatest = 7432, Smallest = 2347

(b) 9, 7, 4, 1
Desc: 9,7,4,1 → 9741
Asc: 1,4,7,9 → 1479

✔ Greatest = 9741, Smallest = 1479

(c) 4, 7, 5, 0
Desc: 7,5,4,0 → 7540
Asc: 0,4,5,7 → but can’t start with 0! So smallest = 4057 (smallest non-zero digit first, then 0, then rest ascending)

Check: possible 4-digit numbers starting with 4: 4057, 4075, 4507, etc.
4057 is smallest (after 4, use 0, then 5, then 7)

✔ Greatest = 7540, Smallest = 4057

(d) 1, 7, 6, 2
Desc: 7,6,2,1 → 7621
Asc: 1,2,6,7 → 1267

✔ Greatest = 7621, Smallest = 1267

(e) 5, 4, 0, 3
Desc: 5,4,3,0 → 5430
Asc: 0,3,4,5 → can’t start with 0 → smallest = 3045 (3 first, then 0, then 4, then 5)

Check: 3045 < 3054 < 3405 etc. Yes.

✔ Greatest = 5430, Smallest = 3045

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3. Arrange numbers in ascending order (smallest to largest)

We compare digit by digit.

(a) 847, 9753, 8321, 572
Count digits:
- 847 → 3 digits
- 572 → 3 digits
- 9753 → 4 digits
- 8321 → 4 digits

So smallest two are 3-digit numbers: compare 572 and 847 → 572 < 847
Then 4-digit: 8321 vs 9753 → 8321 < 9753
So order: 572, 847, 8321, 9753

(b) 9108, 63501, 52571, 83802
Digits:
- 9108 → 4
- Others → 5 digits
So 9108 is smallest.
Now compare 5-digit numbers:
63501, 52571, 83802
First digit: 6, 5, 8 → so 52571 < 63501 < 83802
Full order: 9108, 52571, 63501, 83802

(c) 6000, 6500, 58400, 8716
Digits:
- 6000, 6500, 8716 → 4-digit
- 58400 → 5-digit → largest
Now compare 4-digit:
6000, 6500, 8716
→ 6000 < 6500 < 8716
So order: 6000, 6500, 8716, 58400

(d) 29134, 26780, 23513, 37834
All 5-digit. Compare ten-thousands digit: all start with 2 or 3
- 37834 starts with 3 → largest
Among 2xxxx: compare thousands digit:
- 29134 → 9
- 26780 → 6
- 23513 → 3
So order: 23513 < 26780 < 29134 < 37834

✔ 23513, 26780, 29134, 37834

(e) 25988, 75691, 10079, 54321
All 5-digit. First digit:
- 10079 → 1
- 25988 → 2
- 54321 → 5
- 75691 → 7
So order: 10079, 25988, 54321, 75691

(f) 69432, 94321, 91321, 92304
All 5-digit, first digit:
- 69432 → 6
- Others → 9
So 69432 is smallest.
Now among 9xxxx: compare second digit:
- 94321 → 4
- 91321 → 1
- 92304 → 2
So order: 91321 (91...) < 92304 (92...) < 94321 (94...)
Full: 69432, 91321, 92304, 94321

Now let’s compile all final answers clearly.

Final Answer:
1.
(a) Greatest = 4892; Smallest = 4370
(b) Greatest = 15800; Smallest = 15073
(c) Greatest = 25286; Smallest = 25210
(d) Greatest = 24659; Smallest = 6895

2.
(a) Greatest = 7432; Smallest = 2347
(b) Greatest = 9741; Smallest = 1479
(c) Greatest = 7540; Smallest = 4057
(d) Greatest = 7621; Smallest = 1267
(e) Greatest = 5430; Smallest = 3045

3.
(a) 572, 847, 8321, 9753
(b) 9108, 52571, 63501, 83802
(c) 6000, 6500, 8716, 58400
(d) 23513, 26780, 29134, 37834
(e) 10079, 25988, 54321, 75691
(f) 69432, 91321, 92304, 94321