State True or False:
`816-:(23xx5)=(815-:23)xx(816-:5)`

Answer

To determine whether the statement \( 816 \div (23 \times 5) = (815 \div 23) \times (816 \div 5) \) is true or false, we will simplify both sides of the equation step by step.

### Step 1: Simplify the Left Side
The left side of the equation is \( 816 \div (23 \times 5) \).

First, calculate \( 23 \times 5 \):
\[ 23 \times 5 = 115 \]

Now substitute this back into the left side:
\[ 816 \div 115 \]

Next, perform the division:
\[ 816 \div 115 = 7.1 \quad (\text{approximately}) \]

### Step 2: Simplify the Right Side
The right side of the equation is \( (815 \div 23) \times (816 \div 5) \).

First, calculate \( 815 \div 23 \):
\[ 815 \div 23 = 35.4348 \quad (\text{approximately}) \]

Next, calculate \( 816 \div 5 \):
\[ 816 \div 5 = 163.2 \]

Now multiply these two results together:
\[ (35.4348) \times (163.2) \approx 5784.96 \]

### Step 3: Compare Both Sides
Now we have:
- Left Side: \( 7.1 \) (approximately)
- Right Side: \( 5784.96 \) (approximately)

Since \( 7.1 \) is not equal to \( 5784.96 \), we conclude that:
\[ 816 \div (23 \times 5) \neq (815 \div 23) \times (816 \div 5) \]

### Final Conclusion
The statement is **False**.

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