State True or False:
Multiplication is distributed over addition.

Answer

To determine whether the statement "Multiplication is distributed over addition" is true or false, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Distributive Property**: The distributive property states that for any numbers \( a \), \( b \), and \( c \):
\[ a \times (b + c) = a \times b + a \times c \]
This means that if you multiply a number by the sum of two other numbers, it is the same as multiplying that number by each of the two numbers separately and then adding the results.

2. **Assign Values to Variables**: Let's assign values to \( a \), \( b \), and \( c \):
- Let \( a = 5 \)
- Let \( b = 4 \)
- Let \( c = 3 \)

3. **Calculate the Left-Hand Side (LHS)**: We will calculate \( a \times (b + c) \):
\[ LHS = 5 \times (4 + 3) \]
First, calculate \( 4 + 3 = 7 \):
\[ LHS = 5 \times 7 = 35 \]

4. **Calculate the Right-Hand Side (RHS)**: Now, calculate \( a \times b + a \times c \):
\[ RHS = 5 \times 4 + 5 \times 3 \]
Calculate each multiplication:
- \( 5 \times 4 = 20 \)
- \( 5 \times 3 = 15 \)
Now add the results:
\[ RHS = 20 + 15 = 35 \]

5. **Compare LHS and RHS**: Now we compare the results of LHS and RHS:
\[ LHS = 35 \quad \text{and} \quad RHS = 35 \]
Since both sides are equal, we conclude that the statement is true.

### Conclusion:
The statement "Multiplication is distributed over addition" is **True**.