State true or false in each of the following statements.
`25 div (5-4)=(25 div 5)-(25 div 4)`

Answer

To determine whether the statement \( 25 \div (5 - 4) = (25 \div 5) - (25 \div 4) \) is true or false, we will evaluate both sides of the equation step by step.

### Step 1: Evaluate the Left-Hand Side (LHS)
The left-hand side of the equation is:
\[ 25 \div (5 - 4) \]
First, we calculate \( 5 - 4 \):
\[ 5 - 4 = 1 \]
Now, substitute this value back into the LHS:
\[ 25 \div 1 = 25 \]

### Step 2: Evaluate the Right-Hand Side (RHS)
The right-hand side of the equation is:
\[ (25 \div 5) - (25 \div 4) \]
First, calculate \( 25 \div 5 \):
\[ 25 \div 5 = 5 \]
Next, calculate \( 25 \div 4 \):
\[ 25 \div 4 = 6.25 \]
Now, substitute these values back into the RHS:
\[ 5 - 6.25 = -1.25 \]

### Step 3: Compare LHS and RHS
Now we compare the results from LHS and RHS:
- LHS = 25
- RHS = -1.25

Since \( 25 \neq -1.25 \), we conclude that:
\[ 25 \div (5 - 4) \neq (25 \div 5) - (25 \div 4) \]

### Conclusion
The statement \( 25 \div (5 - 4) = (25 \div 5) - (25 \div 4) \) is **False**.

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