Practice counting forwards and backwards by 100s with this educational worksheet, designed to enhance number fluency and precision.

Problem Description:

The task involves counting forwards or backwards in steps of 100 for given numbers. The goal is to fill in the missing numbers in each sequence based on the direction (forwards or backwards) and the step size (100).

Solution Approach:

1. Count Forwards by 100: Add 100 to the current number to get the next number in the sequence.
2. Count Backwards by 100: Subtract 100 from the current number to get the next number in the sequence.
3. Repeat this process for each arrow in the sequence.

Step-by-Step Solution:

#### 1. Count Forwards by 100: Starting with 8,230
- Start: 8,230
- Next: \( 8,230 + 100 = 8,330 \)
- Next: \( 8,330 + 100 = 8,430 \)
- Next: \( 8,430 + 100 = 8,530 \)
- Next: \( 8,530 + 100 = 8,630 \)
- Next: \( 8,630 + 100 = 8,730 \)

Sequence:
8,230 → 8,330 → 8,430 → 8,530 → 8,630 → 8,730

#### 2. Count Forwards by 100: Starting with 14,239
- Start: 14,239
- Next: \( 14,239 + 100 = 14,339 \)
- Next: \( 14,339 + 100 = 14,439 \)
- Next: \( 14,439 + 100 = 14,539 \)
- Next: \( 14,539 + 100 = 14,639 \)
- Next: \( 14,639 + 100 = 14,739 \)

Sequence:
14,239 → 14,339 → 14,439 → 14,539 → 14,639 → 14,739

#### 3. Count Backwards by 100: Starting with 429
- Start: 429
- Next: \( 429 - 100 = 329 \)
- Next: \( 329 - 100 = 229 \)
- Next: \( 229 - 100 = 129 \)
- Next: \( 129 - 100 = 29 \)
- Next: \( 29 - 100 = -71 \)

Sequence:
429 → 329 → 229 → 129 → 29 → -71

#### 4. Count Backwards by 100: Starting with 97,123
- Start: 97,123
- Next: \( 97,123 - 100 = 97,023 \)
- Next: \( 97,023 - 100 = 96,923 \)
- Next: \( 96,923 - 100 = 96,823 \)
- Next: \( 96,823 - 100 = 96,723 \)
- Next: \( 96,723 - 100 = 96,623 \)

Sequence:
97,123 → 97,023 → 96,923 → 96,823 → 96,723 → 96,623

#### 5. Count Forwards by 100: Starting with 211,428
- Start: 211,428
- Next: \( 211,428 + 100 = 211,528 \)
- Next: \( 211,528 + 100 = 211,628 \)
- Next: \( 211,628 + 100 = 211,728 \)
- Next: \( 211,728 + 100 = 211,828 \)
- Next: \( 211,828 + 100 = 211,928 \)

Sequence:
211,428 → 211,528 → 211,628 → 211,728 → 211,828 → 211,928

#### 6. Count Backwards by 100: Starting with 873,492
- Start: 873,492
- Next: \( 873,492 - 100 = 873,392 \)
- Next: \( 873,392 - 100 = 873,292 \)
- Next: \( 873,292 - 100 = 873,192 \)
- Next: \( 873,192 - 100 = 873,092 \)
- Next: \( 873,092 - 100 = 872,992 \)

Sequence:
873,492 → 873,392 → 873,292 → 873,192 → 873,092 → 872,992

#### 7. Count Forwards by 100: Starting with 100,000
- Start: 100,000
- Next: \( 100,000 + 100 = 100,100 \)
- Next: \( 100,100 + 100 = 100,200 \)
- Next: \( 100,200 + 100 = 100,300 \)
- Next: \( 100,300 + 100 = 100,400 \)
- Next: \( 100,400 + 100 = 100,500 \)

Sequence:
100,000 → 100,100 → 100,200 → 100,300 → 100,400 → 100,500

Final Answer:

\[
\boxed{
\begin{array}{l}
8,230 \rightarrow 8,330 \rightarrow 8,430 \rightarrow 8,530 \rightarrow 8,630 \rightarrow 8,730 \\
14,239 \rightarrow 14,339 \rightarrow 14,439 \rightarrow 14,539 \rightarrow 14,639 \rightarrow 14,739 \\
429 \rightarrow 329 \rightarrow 229 \rightarrow 129 \rightarrow 29 \rightarrow -71 \\
97,123 \rightarrow 97,023 \rightarrow 96,923 \rightarrow 96,823 \rightarrow 96,723 \rightarrow 96,623 \\
211,428 \rightarrow 211,528 \rightarrow 211,628 \rightarrow 211,728 \rightarrow 211,828 \rightarrow 211,928 \\
873,492 \rightarrow 873,392 \rightarrow 873,292 \rightarrow 873,192 \rightarrow 873,092 \rightarrow 872,992 \\
100,000 \rightarrow 100,100 \rightarrow 100,200 \rightarrow 100,300 \rightarrow 100,400 \rightarrow 100,500
\end{array}
}
\]