State True or False:
Multiplication distributes over subtraction.

Answer

To determine if the statement "Multiplication distributes over subtraction" is true or false, we can follow these steps:

### Step 1: Understand the concept of distribution
The distribution property states that when you multiply a number by a sum or difference, you can distribute the multiplication across the terms inside the parentheses.

### Step 2: Write the expression
We can express the distribution over subtraction as:
\[ A \times (B - C) = A \times B - A \times C \]

### Step 3: Substitute values into the expression
Let's use specific values for A, B, and C. For example, let A = 2, B = 5, and C = 3.

### Step 4: Calculate the left-hand side (LHS)
Now, calculate the left-hand side of the equation:
\[ LHS = 2 \times (5 - 3) \]
\[ LHS = 2 \times 2 \]
\[ LHS = 4 \]

### Step 5: Calculate the right-hand side (RHS)
Now, calculate the right-hand side of the equation:
\[ RHS = 2 \times 5 - 2 \times 3 \]
\[ RHS = 10 - 6 \]
\[ RHS = 4 \]

### Step 6: Compare LHS and RHS
Now, we compare the LHS and RHS:
\[ LHS = 4 \]
\[ RHS = 4 \]

Since both sides are equal, we can conclude that the statement is true.

### Final Answer
The statement "Multiplication distributes over subtraction" is **True**.

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