Math worksheet for comparing and ordering two-digit numbers with colorful star and seashell illustrations.

Let's solve each part of the worksheet step by step and explain the reasoning.

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1. Complete the chart by placing the numbers in their correct column.

We are given three numbers: 68, 35, and 74. We need to break them into Tens and Ones.

- 68 → 6 tens and 8 ones
- 35 → 3 tens and 5 ones
- 74 → 7 tens and 4 ones

| | Tens | Ones |
|-------|------|------|
| 68 | 6 | 8 |
| 35 | 3 | 5 |
| 74 | 7 | 4 |

Now answer:
- a. 74 is the greatest.
- b. 35 is the smallest.

> ✔ Explanation: Compare the tens place first. 74 has 7 tens (largest), so it's the greatest. 35 has only 3 tens (smallest), so it's the smallest.

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2. Choose the greatest number in each set.

#### Set 1: 48, 21, 16
Compare tens:
- 48 → 4 tens
- 21 → 2 tens
- 16 → 1 ten

So, 48 is the greatest.

#### Set 2: 38, 64, 46
Compare tens:
- 38 → 3 tens
- 64 → 6 tens
- 46 → 4 tens

So, 64 is the greatest.

✔ Answers: 48 and 64

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3. Choose the smallest number in each set.

#### Set 1: 31, 25, 91
Compare tens:
- 31 → 3 tens
- 25 → 2 tens
- 91 → 9 tens

Smallest tens = 2 → 25

#### Set 2: 58, 64, 46
Compare tens:
- 58 → 5 tens
- 64 → 6 tens
- 46 → 4 tens

Smallest tens = 4 → 46

✔ Answers: 25 and 46

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4. Which number is out of place?

Sequence: 12, 17, 33, 29, 48

Let’s look at the order:
12 → 17 → 33 → 29 → 48

Check if it's increasing:

- 12 → 17: +5 ✔
- 17 → 33: +16 ✔
- 33 → 29: -4 ✘ (decreases!)
- 29 → 48: +19 ✔

So, 29 is smaller than 33, breaking the increasing pattern.

But wait — maybe we should check if the sequence is supposed to be in order?

Let’s sort the numbers:
12, 17, 29, 33, 48

The original sequence is:
12, 17, 33, 29, 48

So 33 comes before 29, which is wrong.

Thus, 33 is out of place because it should come after 29.

✔ Answer: 33 is out of place.

> 🔍 Reason: The list appears to be trying to go in ascending order, but 33 comes before 29, which breaks the order.

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5. Put the numbers in descending order (greatest to smallest).

Numbers:
65, 53, 35, 89, 49

Step-by-step comparison:

- 89 is the largest (8 tens)
- Then 65 (6 tens)
- Then 53 (5 tens)
- Then 49 (4 tens)
- Then 35 (3 tens)

So, descending order:
89, 65, 53, 49, 35

Now fill in the shells from left to right:

| 89 | 65 | 53 | 49 | 35 |
|----|----|----|----|----|

✔ Final Answer: 89, 65, 53, 49, 35

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✔ Final Answers Summary:

1. Chart:
- 68 → Tens: 6, Ones: 8
- 35 → Tens: 3, Ones: 5
- 74 → Tens: 7, Ones: 4
- a. 74 is greatest
- b. 35 is smallest

2. Greatest in each set:
- 48 and 64

3. Smallest in each set:
- 25 and 46

4. Out of place: 33

5. Descending order: 89, 65, 53, 49, 35

Let me know if you'd like this formatted for printing or as a completed worksheet!