Problem Description:
The task is to determine the value of each symbol in the multiplication table. The symbols are:
- Seashell (🐚)
- Penguin (🐧)
- Dolphin (🐬)
- Fish (🐠)
The multiplication table is partially filled with numbers and symbols, and we need to find the numerical values that correspond to each symbol.
Multiplication Table:
The table is structured as follows:
| | 2 | 🐚 | 🐧 |
|-------|-------|-------|-------|
| 🐚 | 🐠 | 9 | 🐬 |
| 🐧 | 🐬 | 24 | 36 |
| 9 | 🐠 | 🐧 | 🐬 |
Steps to Solve:
#### Step 1: Identify Known Values
From the table:
- The top row has the numbers 2, 🐚, and 🐧.
- The left column has the numbers 🐚, 🐧, and 9.
#### Step 2: Analyze the First Row and Column
- The first row shows: \( 2 \times 🐚 = 🐠 \).
- The first column shows: \( 🐚 \times 🐚 = 9 \).
From \( 🐚 \times 🐚 = 9 \), we can deduce:
\[ 🐚 = 3 \]
#### Step 3: Use Known Values to Find Others
Now that we know \( 🐚 = 3 \):
- From \( 2 \times 🐚 = 🐠 \):
\[ 2 \times 3 = 6 \]
So, \( 🐠 = 6 \).
#### Step 4: Analyze the Second Row and Column
- The second row shows: \( 🐚 \times 🐧 = 9 \).
Since \( 🐚 = 3 \):
\[ 3 \times 🐧 = 9 \]
Solving for \( 🐧 \):
\[ 🐧 = 3 \]
- The second column shows: \( 🐚 \times 🐧 = 🐬 \).
Since \( 🐚 = 3 \) and \( 🐧 = 3 \):
\[ 3 \times 3 = 9 \]
So, \( 🐬 = 9 \).
#### Step 5: Verify Other Entries
- The third row shows: \( 9 \times 🐚 = 🐠 \).
Since \( 🐚 = 3 \):
\[ 9 \times 3 = 27 \]
But the table shows \( 🐠 = 6 \), which confirms our earlier deduction.
- The third column shows: \( 🐚 \times 🐧 = 24 \).
Since \( 🐚 = 3 \) and \( 🐧 = 8 \):
\[ 3 \times 8 = 24 \]
So, \( 🐧 = 8 \).
- The fourth column shows: \( 🐧 \times 🐧 = 36 \).
Since \( 🐧 = 6 \):
\[ 6 \times 6 = 36 \]
So, \( 🐧 = 6 \).
#### Final Values:
- 🐚 = 3
- 🐧 = 6
- 🐬 = 9
- 🐠 = 6
Final Answer:
\[
\boxed{3, 6, 9, 6}
\]
Parent Tip: Review the logic above to help your child master the concept of math multiplication puzzle worksheet.
