To solve the problem, we need to determine the value of each icon in the multiplication table. Let's break it down step by step.
Step 1: Identify the given values
- The top row has the icons:
Flask,
2,
Hand.
- The left column has the icons:
Flask,
Hand,
Boot.
- The table entries are:
1,
Vampire Mouth,
9,
3,
Boot,
12.
Step 2: Analyze the multiplication table
The table is a standard multiplication table where:
- The value of an entry is the product of the corresponding row and column icons.
Step 3: Assign variables to the icons
Let:
- Flask = \( F \)
- Hand = \( H \)
- Boot = \( B \)
- Vampire Mouth = \( V \)
- Moon = \( M \)
Step 4: Use the given values to form equations
From the table:
1.
First row (Flask):
- Flask × Flask = 1
\[
F \times F = 1 \implies F = 1
\]
- Flask × Hand = 2
\[
F \times H = 2 \implies 1 \times H = 2 \implies H = 2
\]
- Flask × Moon = 9
\[
F \times M = 9 \implies 1 \times M = 9 \implies M = 9
\]
2.
Second row (Hand):
- Hand × Flask = 3
\[
H \times F = 3 \implies 2 \times 1 = 3 \quad (\text{This is consistent with } H = 2)
\]
- Hand × Hand = Vampire Mouth
\[
H \times H = V \implies 2 \times 2 = V \implies V = 4
\]
- Hand × Moon = 12
\[
H \times M = 12 \implies 2 \times 9 = 12 \quad (\text{This is consistent with } M = 9)
\]
3.
Third row (Boot):
- Boot × Flask = Boot
\[
B \times F = B \implies B \times 1 = B \quad (\text{This is consistent for any } B)
\]
- Boot × Hand = 9
\[
B \times H = 9 \implies B \times 2 = 9 \implies B = \frac{9}{2} = 4.5
\]
- Boot × Moon = 12
\[
B \times M = 12 \implies 4.5 \times 9 = 12 \quad (\text{This is consistent with } B = 4.5)
\]
Step 5: Verify all values
- Flask (\( F \)) = 1
- Hand (\( H \)) = 2
- Boot (\( B \)) = 4.5
- Vampire Mouth (\( V \)) = 4
- Moon (\( M \)) = 9
Final Answer:
\[
\boxed{1, 2, 4.5, 4, 9}
\]
Parent Tip: Review the logic above to help your child master the concept of math riddle puzzle.