Free printable number charts and 100-charts for counting, skip ... - Free Printable

Problem Description:

The task is to fill in the missing numbers in a number chart by skip-counting by 4, starting from 0. The chart already has some numbers filled in, and we need to complete it accordingly.

Solution Approach:

1. Understand Skip-Counting by 4:
- Starting at 0, the sequence will be: \(0, 4, 8, 12, 16, 20, \ldots\).
- Each subsequent number is obtained by adding 4 to the previous number.

2. Analyze the Given Chart:
- The chart has some numbers already filled in. We need to use these as reference points to fill in the missing numbers.
- The pattern should consistently follow the rule of adding 4.

3. Fill in the Missing Numbers:
- Start from the known numbers and extend the sequence both forward and backward as needed.
- Ensure that each row and column follows the skip-counting pattern.

Step-by-Step Solution:

#### First Row:
- Known numbers: \(8, 16\)
- Fill in the missing numbers by counting by 4:
- Before 8: \(8 - 4 = 4\), \(4 - 4 = 0\)
- After 16: \(16 + 4 = 20\)
- Completed row: \(0, 4, 8, 12, 16, 20\)

#### Second Row:
- Known numbers: \(28, 32\)
- Fill in the missing numbers:
- Before 28: \(28 - 4 = 24\), \(24 - 4 = 20\)
- After 32: \(32 + 4 = 36\), \(36 + 4 = 40\)
- Completed row: \(20, 24, 28, 32, 36, 40\)

#### Third Row:
- Known numbers: \(48, 56\)
- Fill in the missing numbers:
- Before 48: \(48 - 4 = 44\), \(44 - 4 = 40\)
- After 56: \(56 + 4 = 60\), \(60 + 4 = 64\)
- Completed row: \(40, 44, 48, 56, 60, 64\)

#### Fourth Row:
- Known number: \(108\)
- Fill in the missing numbers:
- Before 108: \(108 - 4 = 104\), \(104 - 4 = 100\), \(100 - 4 = 96\), \(96 - 4 = 92\)
- After 108: \(108 + 4 = 112\), \(116\) (already given)
- Completed row: \(92, 96, 100, 104, 108, 112, 116\)

#### Fifth Row:
- Known numbers: \(116, 136\)
- Fill in the missing numbers:
- Before 116: \(116 - 4 = 112\) (already filled), \(112 - 4 = 108\) (already filled), etc.
- After 136: \(136 + 4 = 140\)
- Completed row: \(112, 116, 120, 124, 128, 132, 136, 140\)

#### Sixth Row:
- Known numbers: \(148, 164\)
- Fill in the missing numbers:
- Before 148: \(148 - 4 = 144\), \(144 - 4 = 140\) (already filled), etc.
- After 148: \(148 + 4 = 152\), \(152 + 4 = 156\), \(160\), \(164\) (already given)
- Completed row: \(140, 144, 148, 152, 156, 160, 164\)

#### Seventh Row:
- Known number: \(176\)
- Fill in the missing numbers:
- Before 176: \(176 - 4 = 172\), \(172 - 4 = 168\), etc.
- After 176: \(176 + 4 = 180\), \(180 + 4 = 184\)
- Completed row: \(168, 172, 176, 180, 184\)

#### Eighth Row:
- Known number: \(228\)
- Fill in the missing numbers:
- Before 228: \(228 - 4 = 224\), \(224 - 4 = 220\), etc.
- After 228: \(228 + 4 = 232\), \(232 + 4 = 236\)
- Completed row: \(220, 224, 228, 232, 236\)

#### Ninth Row:
- Known number: \(256\)
- Fill in the missing numbers:
- Before 256: \(256 - 4 = 252\), \(252 - 4 = 248\), etc.
- After 256: \(256 + 4 = 260\), \(260 + 4 = 264\)
- Completed row: \(248, 252, 256, 260, 264\)

Final Answer:

The completed number chart is as follows:

\[
\begin{array}{|c|c|c|c|c|c|}
\hline
0 & 4 & 8 & 12 & 16 & 20 \\
\hline
20 & 24 & 28 & 32 & 36 & 40 \\
\hline
40 & 44 & 48 & 56 & 60 & 64 \\
\hline
92 & 96 & 100 & 104 & 108 & 112 & 116 \\
\hline
112 & 116 & 120 & 124 & 128 & 132 & 136 & 140 \\
\hline
140 & 144 & 148 & 152 & 156 & 160 & 164 \\
\hline
168 & 172 & 176 & 180 & 184 \\
\hline
220 & 224 & 228 & 232 & 236 \\
\hline
248 & 252 & 256 & 260 & 264 \\
\hline
\end{array}
\]

\boxed{
\begin{array}{|c|c|c|c|c|c|}
\hline
0 & 4 & 8 & 12 & 16 & 20 \\
\hline
20 & 24 & 28 & 32 & 36 & 40 \\
\hline
40 & 44 & 48 & 56 & 60 & 64 \\
\hline
92 & 96 & 100 & 104 & 108 & 112 & 116 \\
\hline
112 & 116 & 120 & 124 & 128 & 132 & 136 & 140 \\
\hline
140 & 144 & 148 & 152 & 156 & 160 & 164 \\
\hline
168 & 172 & 176 & 180 & 184 \\
\hline
220 & 224 & 228 & 232 & 236 \\
\hline
248 & 252 & 256 & 260 & 264 \\
\hline
\end{array}
}