State true of false. If the statements are correct, then state the property used.
`(49 div 7) times 5 ne 49 div (7 times 5)`

Answer

To determine whether the statement `(49 div 7) times 5 ne 49 div (7 times 5)` is true or false, we will evaluate both sides of the equation step by step.

### Step 1: Evaluate the Left-Hand Side (LHS)
The LHS is `(49 div 7) times 5`.

1. **Calculate 49 divided by 7**:
\[ 49 \div 7 = 7 \]

2. **Multiply the result by 5**:
\[ 7 \times 5 = 35 \]

So, LHS = 35.

### Step 2: Evaluate the Right-Hand Side (RHS)
The RHS is `49 div (7 times 5)`.

1. **Calculate 7 times 5**:
\[ 7 \times 5 = 35 \]

2. **Now, calculate 49 divided by the result**:
\[ 49 \div 35 = 1.4 \]

So, RHS = 1.4.

### Step 3: Compare LHS and RHS
Now we compare the results of LHS and RHS:
- LHS = 35
- RHS = 1.4

Since 35 is not equal to 1.4, we conclude that:
\[ LHS \neq RHS \]

### Conclusion
The statement `(49 div 7) times 5 ne 49 div (7 times 5)` is **true**.

### Property Used
The property used here is the **Order of Operations** (often referred to as BODMAS/BIDMAS), which states that operations should be performed in a specific order: Brackets, Orders (i.e., powers and roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

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