Math worksheet for practicing place value concepts with number comparison and creation exercises.

Let's solve each problem step by step using place value concepts. We'll determine the correct number based on the given digits and conditions.

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1) Using the numbers: 4, 5, 8

What number can you make that is smaller than 485?

We need to use all three digits: 4, 5, 8 to form a number smaller than 485.

Try possible combinations:
- 458 → 458 < 485 ✔
- 485 → equal, not smaller ✘
- 548, 584, 845, 854 → all larger

So, 458 is the only one smaller than 485 using these digits.

✔ Answer: 458

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2) Using the numbers: 6, 3, 0

What is the smallest number you can make with a 0 in the tens place?

Digits: 6, 3, 0
We want 0 in the tens place, so the number must be like: _ 0 _

So the hundreds digit and units digit must be from 6 and 3.

Possible numbers:
- 603 → 6 (hundreds), 0 (tens), 3 (units)
- 306 → 3 (hundreds), 0 (tens), 6 (units)

Which is smaller? 306 < 603

✔ Answer: 306

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3) Using the numbers: 6, 1, 0

What number can you make that is smaller than 061?

Wait — 061 is just 61, since leading zeros don’t count.

So we are looking for a number made from 6, 1, 0 that is less than 61.

Possible numbers:
- 016 = 16
- 061 = 61
- 106 = 106
- 160 = 160
- 601 = 601
- 610 = 610

Only 16 is less than 61.

But can we write 016? In standard form, it’s 16.

But we must use all three digits? The question says "using the numbers", but doesn't say "use all". But typically in such problems, you use all digits once.

If we must use all three digits, then:

- 016 → 16
- 061 → 61
- 106 → 106
- 160 → 160
- 601 → 601
- 610 → 610

Only 016 (16) is less than 61.

But 016 uses all digits: 0, 1, 6 → yes.

So 016 is valid, and equals 16, which is less than 61.

But we write it as 16, but technically, if we're forming a 3-digit number, 016 is acceptable?

Wait — the question says: "What number can you make that is smaller than 061?"

But 061 is 61, so any number smaller than 61.

From the list above, only 016 (16) is smaller.

But is 016 allowed? It's a 3-digit number with leading zero? Not usually considered valid.

But the problem says “using the numbers”, so likely we must use all digits exactly once, and form a valid number.

So possible valid numbers:
- 106, 160, 601, 610, 016, 061

But 016 = 16, 061 = 61

So only 016 is smaller than 061.

So answer is 016 or 16?

But the format is likely expecting a 3-digit number.

But 016 is not a standard 3-digit number.

Alternatively, maybe we are allowed to form any number, even if it has fewer digits.

But the instruction says “using the numbers” — probably meaning use all digits.

But 016 is the only one that works.

But let's think: is there a way to make a number smaller than 61?

Yes — 106 is bigger, 160 is bigger...

Only 016 is smaller.

So 016 is the answer.

But we write it as 16, but the problem might expect 016.

But since 016 is not a standard number, perhaps they mean 16, but that uses only two digits.

This is ambiguous.

Wait — look at the example: Ex. 458 — that’s a 3-digit number.

So likely, we must form a 3-digit number using all digits.

Then, 016 is the only one smaller than 061.

So the answer is 016.

But written as 16, but we have to include the zero.

But in standard notation, 016 is not used.

But in this context, since the problem says "using the numbers", and includes 0, we can assume 016 is acceptable.

So ✔ Answer: 016

But wait — is 061 considered a number? Yes, it's 61.

But 016 is 16, which is less than 61.

So yes.

But let’s double-check: Can we make a number smaller than 61 using digits 6, 1, 0?

Yes — 10, 16, etc., but only if we don’t use all digits.

But if we must use all three digits, then the smallest possible number is 016 = 16.

And 16 < 61 → ✔

So ✔ Answer: 016

But in boxed form, probably write 16, but I think they expect 016.

Wait — perhaps the question allows any arrangement, and wants the number value.

But the example shows 458, a 3-digit number.

So likely, we must form a 3-digit number.

So 016 is the only one smaller than 061.

So ✔ Answer: 016

But let's confirm with another approach.

List all permutations of 6,1,0:

- 016 → 16
- 061 → 61
- 106 → 106
- 160 → 160
- 601 → 601
- 610 → 610

Now, which is smaller than 061? That’s 61.

So only 016 (16) is smaller.

So ✔ Answer: 016

But in standard math, we don’t write leading zeros, so perhaps the intended answer is 16, but since it says "using the numbers", and we must use all, 016 is the only possibility.

But maybe the problem allows 16, even though it doesn’t use all digits.

But that contradicts "using the numbers" — probably means use all.

So we’ll go with 016

But let's see what the expected format is.

Looking at the answer key: Ex. 458 — so 3-digit.

So likely, 016 is acceptable.

✔ Answer: 016

But perhaps they want the value, so 16.

But the problem says “what number can you make”, so 016 is the number formed.

I think it's safe to write 016.

But let’s move on and come back.

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4) Using the numbers: 4, 9, 2

What number can you make that is larger than 924?

Digits: 4, 9, 2

Make a number > 924.

All permutations:
- 249
- 294
- 429
- 492
- 924
- 942

Which is larger than 924?

Only 942

✔ Answer: 942

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5) Using the numbers: 2, 6, 5

What is the largest number you can create?

Arrange in descending order: 6, 5, 2 → 652

✔ Answer: 652

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6) Using the numbers: 3, 6, 5

What is the largest number you can make with a 5 in the hundreds place?

So hundreds digit must be 5.

Remaining digits: 3 and 6

So number is 5 _ _

To maximize, put 6 in tens, 3 in ones → 563

✔ Answer: 563

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7) Using the numbers: 9, 8, 3

What is the largest number you can create?

Descending: 9, 8, 3 → 983

✔ Answer: 983

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8) Using the numbers: 9, 5, 7

What is the smallest number you can create?

Ascending: 5, 7, 9 → 579

✔ Answer: 579

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9) Using the numbers: 6, 2, 8

What is the largest number you can make with a 8 in the hundreds place?

Hundreds digit = 8

Remaining: 6, 2

To maximize, put 6 in tens, 2 in ones → 862

✔ Answer: 862

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10) Using the numbers: 8, 4, 9

What is the smallest number you can make with a 9 in the tens place?

Tens digit = 9

So number is: _ 9 _

Remaining digits: 8, 4

To minimize, put smaller digit in hundreds: 4, then 8 in ones → 498

Check: 498 vs 894 → 498 is smaller.

✔ Answer: 498

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11) Using the numbers: 4, 3, 8

What is the smallest number you can make with a 8 in the tens place?

Tens digit = 8

So number: _ 8 _

Remaining: 4, 3

To minimize, put smaller digit in hundreds: 3, then 4 in ones → 384

✔ Answer: 384

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12) Using the numbers: 8, 0, 1

What number can you make that is larger than 801?

Digits: 8, 0, 1

Permutations:
- 018 = 18
- 081 = 81
- 108
- 180
- 801
- 810

Which is larger than 801?

Only 810

✔ Answer: 810

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13) Using the numbers: 5, 7, 1

What is the largest number you can create?

Descending: 7, 5, 1 → 751

✔ Answer: 751

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14) Using the numbers: 8, 2, 5

What is the smallest number you can create?

Ascending: 2, 5, 8 → 258

✔ Answer: 258

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Now, let’s go back to #3.

Revisit #3: Using 6, 1, 0 — What number can you make that is smaller than 061?

061 = 61

We need a number made from 6,1,0 that is less than 61

If we must use all three digits, then only possibility is 016 = 16, which is less than 61.

So answer is 016

But if we don’t have to use all digits, we could make 10, 16, etc.

But the pattern of questions suggests we use all digits.

For example, #1: “Using the numbers: 4,5,8” — makes a 3-digit number.

So likely, use all digits.

Thus, 016 is the only 3-digit number using all digits that is less than 061.

So ✔ Answer: 016

But in standard notation, we write 16, but since it's a 3-digit number with digits 0,1,6, we write 016.

But some may argue it's invalid.

But given the context, and since other answers are 3-digit, we'll go with 016

However, in many curricula, leading zeros are not allowed, so 016 is not valid.

Then, is there any valid 3-digit number using 6,1,0 that is less than 61?

No.

Because:
- 106 → 106 > 61
- 160 → 160 > 61
- 601 → 601 > 61
- 610 → 610 > 61
- 016 → 16 < 61, but invalid due to leading zero
- 061 → 61 = 61 → not smaller

So no valid 3-digit number without leading zero is less than 61.

But 016 is the only one.

Perhaps the problem allows 16, even though it doesn’t use all digits.

But that seems inconsistent.

Wait — maybe the question means: can you make a number smaller than 061 using these digits, not necessarily all?

Then: 10, 16, 60, 61 — but 61 is not smaller.

So 10, 16, 60 are all less than 61.

Smallest is 10.

But 10 uses digits 1 and 0 — not 6.

But 6 is required.

So we must use all digits.

So again, only possibility is 016.

I think the intended answer is 016, even if it's unusual.

Alternatively, maybe they accept 16, but that’s not using all digits.

Given the ambiguity, and since the example is 458 (3-digit), likely 016 is expected.

But let's check online or standard practice.

In many worksheets, when they say “using the numbers”, they mean use all digits exactly once.

So 016 is the only option.

So we'll go with that.

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Final Answers:

1. 458
2. 306
3. 016
4. 942
5. 652
6. 563
7. 983
8. 579
9. 862
10. 498
11. 384
12. 810
13. 751
14. 258

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Now fill in the answer sheet:

```
Answers:
1. 458
2. 306
3. 016
4. 942
5. 652
6. 563
7. 983
8. 579
9. 862
10. 498
11. 384
12. 810
13. 751
14. 258
```

Note: For #3, if your teacher does not allow leading zeros, then no valid number exists, but that seems unlikely.

Alternatively, perhaps they expect 16, but that uses only two digits.

But since the problem says "using the numbers: 6, 1, 0", it implies using all.

So 016 is correct.

✔ Final Answer List:

1. 458
2. 306
3. 016
4. 942
5. 652
6. 563
7. 983
8. 579
9. 862
10. 498
11. 384
12. 810
13. 751
14. 258