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Math worksheet for practicing forming largest and smallest numbers from given digit sets.

Worksheet titled "Largest and Smallest Numbers" with exercises to form the largest and smallest numbers using given digits, including sections for arranging digits and identifying the smallest whole number.

Worksheet titled "Largest and Smallest Numbers" with exercises to form the largest and smallest numbers using given digits, including sections for arranging digits and identifying the smallest whole number.

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Show Answer Key & Explanations Step-by-step solution for: Forming the Largest and Smallest Numbers Worksheets
Let’s go through each part step by step.

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Part A: Form the largest number possible using each given set of digits.

To make the largest number, we arrange the digits from biggest to smallest, left to right.

1) Digits: 5, 2, 9, 1 → Largest: 9521
2) Digits: 2, 4, 3, 0 → Largest: 4320
3) Digits: 1, 0, 3, 2 → Largest: 3210
4) Digits: 8, 2, 4, 5 → Largest: 8542
5) Digits: 4, 7, 5, 3 → Largest: 7543
6) Digits: 1, 3, 5, 6 → Largest: 6531

All checked — digits arranged in descending order.

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Part B: Form the smallest number possible using each given set of digits.

To make the smallest number, we arrange the digits from smallest to biggest, left to right — BUT we must avoid putting 0 at the very beginning (unless it’s the only digit, which isn’t the case here).

1) Digits: 7, 4, 9, 2 → Smallest: 2479
2) Digits: 8, 9, 7, 6 → Smallest: 6789
3) Digits: 9, 7, 6, 5 → Smallest: 5679
4) Digits: 5, 1, 8, 2 → Smallest: 1258
5) Digits: 6, 8, 5, 4 → Smallest: 4568
6) Digits: 4, 7, 3, 5 → Smallest: 3457

All checked — no leading zeros, digits in ascending order.

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Part C: Build the smallest and largest possible numbers using the given digits.

1) Digits: 2, 5, 3, 4
→ Largest: arrange big to small → 5432
→ Smallest: arrange small to big → 2345

2) Digits: 7, 6, 9, 1
→ Largest: 9761
→ Smallest: 1679

Checked — correct ordering.

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Part D: What is the smallest whole number you can make with the following digits? 5, 1, 8, 3

Smallest whole number → arrange digits smallest to largest: 1358

Note: Since there’s no 0, we don’t have to worry about leading zero. Just sort ascending.

Correct.

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Final Answer:

A)
1) 9521
2) 4320
3) 3210
4) 8542
5) 7543
6) 6531

B)
1) 2479
2) 6789
3) 5679
4) 1258
5) 4568
6) 3457

C)
1) Largest: 5432, Smallest: 2345
2) Largest: 9761, Smallest: 1679

D) 1358
Parent Tip: Review the logic above to help your child master the concept of bigger and smaller numbers worksheet.
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