Math worksheet for practicing number sequences and ordering numbers up to 1000.

Problem Analysis and Solution

The worksheet involves three main tasks:
1. Completing number sequences by counting in steps of 10.
2. Completing number sequences by counting in steps of 100.
3. Ordering numbers from smallest to largest.

Let's solve each part step by step.

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Task 1: Count in steps of 10 to complete the number sequences

#### Sequence 1: \( 15, 25, \_, 45, 55, \_ \)
- The sequence increases by 10 each time.
- Missing numbers:
- After 25: \( 25 + 10 = 35 \)
- After 55: \( 55 + 10 = 65 \)
- Completed sequence: \( 15, 25, 35, 45, 55, 65 \)

#### Sequence 2: \( 173, 183, \_, \_, 213, \_ \)
- The sequence increases by 10 each time.
- Missing numbers:
- After 183: \( 183 + 10 = 193 \)
- After 193: \( 193 + 10 = 203 \)
- After 213: \( 213 + 10 = 223 \)
- Completed sequence: \( 173, 183, 193, 203, 213, 223 \)

#### Sequence 3: \( 436, \_, 416, \_, \_, 386 \)
- The sequence decreases by 10 each time.
- Missing numbers:
- Before 416: \( 436 - 10 = 426 \)
- Before 416: \( 416 - 10 = 406 \)
- Before 386: \( 406 - 10 = 396 \)
- Completed sequence: \( 436, 426, 416, 406, 396, 386 \)

#### Sequence 4: \( 721, 711, \_, 791, \_, \_ \)
- The sequence alternates between decreasing by 10 and increasing by 80.
- Missing numbers:
- After 711 (decrease by 10): \( 711 - 10 = 701 \)
- After 701 (increase by 80): \( 701 + 80 = 781 \)
- After 781 (increase by 80): \( 781 + 80 = 861 \)
- Completed sequence: \( 721, 711, 701, 781, 861, 941 \)

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Task 2: Count in steps of 100 to complete the number sequences

#### Sequence 1: Starting with 344
- The sequence increases by 100 each time.
- Missing numbers:
- After 344: \( 344 + 100 = 444 \)
- After 444: \( 444 + 100 = 544 \)
- After 544: \( 544 + 100 = 644 \)
- Completed sequence: \( 344, 444, 544, 644 \)

#### Sequence 2: Middle number is 632
- The sequence increases by 100 each time.
- Missing numbers:
- Before 632: \( 632 - 100 = 532 \)
- Before 532: \( 532 - 100 = 432 \)
- After 632: \( 632 + 100 = 732 \)
- After 732: \( 732 + 100 = 832 \)
- Completed sequence: \( 432, 532, 632, 732, 832 \)

#### Sequence 3: Ending with 711
- The sequence increases by 100 each time.
- Missing numbers:
- Before 711: \( 711 - 100 = 611 \)
- Before 611: \( 611 - 100 = 511 \)
- Before 511: \( 511 - 100 = 411 \)
- Before 411: \( 411 - 100 = 311 \)
- Completed sequence: \( 311, 411, 511, 611, 711 \)

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Task 3: Order these numbers from smallest to largest

#### Set 1: \( 31, 56, 103, 13 \)
- Arrange in ascending order: \( 13, 31, 56, 103 \)

#### Set 2: \( 176, 671, 716, 167 \)
- Arrange in ascending order: \( 167, 176, 671, 716 \)

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Final Answers

1. Number sequences (steps of 10):
- \( 15, 25, 35, 45, 55, 65 \)
- \( 173, 183, 193, 203, 213, 223 \)
- \( 436, 426, 416, 406, 396, 386 \)
- \( 721, 711, 701, 781, 861, 941 \)

2. Number sequences (steps of 100):
- \( 344, 444, 544, 644 \)
- \( 432, 532, 632, 732, 832 \)
- \( 311, 411, 511, 611, 711 \)

3. Ordered numbers:
- \( 13, 31, 56, 103 \)
- \( 167, 176, 671, 716 \)

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Boxed Final Answer

\[
\boxed{
\begin{array}{l}
\text{1. Sequences:} \\
15, 25, 35, 45, 55, 65 \\
173, 183, 193, 203, 213, 223 \\
436, 426, 416, 406, 396, 386 \\
721, 711, 701, 781, 861, 941 \\
\\
\text{2. Sequences:} \\
344, 444, 544, 644 \\
432, 532, 632, 732, 832 \\
311, 411, 511, 611, 711 \\
\\
\text{3. Ordered numbers:} \\
13, 31, 56, 103 \\
167, 176, 671, 716
\end{array}
}
\]