Math worksheet for practicing comparison of numbers and number sequences.

Problem Analysis:

The task involves two main sections:
1. Mild: Comparing numbers using the symbols `<`, `>`, or `=`.
2. Complete the sequence: Filling in missing numbers in sequences.
3. Spicy: Similar to "Mild," but with more complex comparisons.

Let's solve each part step by step.

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Mild - Fill in gaps with the correct symbol `<`, `>`, or `=`

#### Step 1: Compare the numbers
We need to compare each pair of numbers and determine whether the first number is less than (`<`), greater than (`>`), or equal to (`=`) the second number.

1. 110 ____ 167
- 110 is less than 167.
- Answer: `<`

2. 176 ____ 189
- 176 is less than 189.
- Answer: `<`

3. 367 ____ 123
- 367 is greater than 123.
- Answer: `>`

4. 354 ____ 354
- 354 is equal to 354.
- Answer: `=`

5. 5.876 ____ 544
- 5.876 is less than 544.
- Answer: `<`

6. 6.466 ____ 677
- 6.466 is less than 677.
- Answer: `<`

7. 334 ____ 654
- 334 is less than 654.
- Answer: `<`

8. 878 ____ 322
- 878 is greater than 322.
- Answer: `>`

#### Final Answers for Mild:
1. `<`
2. `<`
3. `>`
4. `=`
5. `<`
6. `<`
7. `<`
8. `>`

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Complete the sequence

#### Step 2: Identify patterns in the sequences
We need to fill in the missing numbers in the given sequences. Let's analyze each sequence:

#### Sequence 9:
- 354 < ____ < 401 < ____ < 500 < ____
- The sequence is increasing.
- Choose numbers that fit between the given values:
- Between 354 and 401: 377 (arbitrary choice, could be any number like 375, 380, etc.).
- Between 401 and 500: 450.
- After 500: 550.
- Final sequence: 354 < 377 < 401 < 450 < 500 < 550

#### Sequence 10:
- 800 > ____ > 700 > ____ > 600 > ____
- The sequence is decreasing.
- Choose numbers that fit between the given values:
- Between 800 and 700: 750.
- Between 700 and 600: 650.
- After 600: 550.
- Final sequence: 800 > 750 > 700 > 650 > 600 > 550

#### Sequence 11:
- 222 < ____ < 267 > ____ < ____
- The sequence alternates between increasing and decreasing.
- Choose numbers that fit the pattern:
- Between 222 and 267: 244.
- After 267 (decreasing): 250.
- After 250 (increasing): 275.
- Final sequence: 222 < 244 < 267 > 250 < 275

#### Final Answers for Complete the sequence:
9. 354 < 377 < 401 < 450 < 500 < 550
10. 800 > 750 > 700 > 650 > 600 > 550
11. 222 < 244 < 267 > 250 < 275

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Spicy - Fill in the gaps with the correct symbol `<`, `>`, or `=`

#### Step 3: Compare the numbers
Similar to the "Mild" section, we compare the numbers and determine the correct symbol.

#### Sequence 12:
- 989 < ____ < 1200 < ____ < 1560 < ____
- The sequence is increasing.
- Choose numbers that fit between the given values:
- Between 989 and 1200: 1094.
- Between 1200 and 1560: 1380.
- After 1560: 1700.
- Final sequence: 989 < 1094 < 1200 < 1380 < 1560 < 1700

#### Sequence 13:
- 1766 > ____ > 1590 > ____ > 1280 > ____
- The sequence is decreasing.
- Choose numbers that fit between the given values:
- Between 1766 and 1590: 1678.
- Between 1590 and 1280: 1435.
- After 1280: 1100.
- Final sequence: 1766 > 1678 > 1590 > 1435 > 1280 > 1100

#### Final Answers for Spicy:
12. 989 < 1094 < 1200 < 1380 < 1560 < 1700
13. 1766 > 1678 > 1590 > 1435 > 1280 > 1100

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Final Summary of All Answers:

#### Mild:
1. `<`
2. `<`
3. `>`
4. `=`
5. `<`
6. `<`
7. `<`
8. `>`

#### Complete the sequence:
9. 354 < 377 < 401 < 450 < 500 < 550
10. 800 > 750 > 700 > 650 > 600 > 550
11. 222 < 244 < 267 > 250 < 275

#### Spicy:
12. 989 < 1094 < 1200 < 1380 < 1560 < 1700
13. 1766 > 1678 > 1590 > 1435 > 1280 > 1100

---

Boxed Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Mild:} \\
1. < \\
2. < \\
3. > \\
4. = \\
5. < \\
6. < \\
7. < \\
8. > \\
\\
\text{Complete the sequence:} \\
9. 354 < 377 < 401 < 450 < 500 < 550 \\
10. 800 > 750 > 700 > 650 > 600 > 550 \\
11. 222 < 244 < 267 > 250 < 275 \\
\\
\text{Spicy:} \\
12. 989 < 1094 < 1200 < 1380 < 1560 < 1700 \\
13. 1766 > 1678 > 1590 > 1435 > 1280 > 1100
\end{array}
}
\]