Let's evaluate both sides of the expression:
Left Side: \[ -6 + 3 \cdot 5 \] Perform the multiplication first: \[ 3 \cdot 5 = 15 \] Now, add: \[ -6 + 15 = 9 \]
Right Side: \[ 16 - \sqrt{16} + \frac{32}{8} \] First, calculate the square root: \[ \sqrt{16} = 4 \] Now, calculate the division: \[ \frac{32}{8} = 4 \] So the right side becomes: \[ 16 - 4 + 4 \] Now, simplify it: \[ 16 - 4 = 12 \] Then add 4: \[ 12 + 4 = 16 \]
Now we have the values:
- Left side: \(9\)
- Right side: \(16\)
Now we can compare: \[ 9 , ? , 16 \]
The appropriate operator to insert here is \( < \) (less than), since \(9 < 16\).
So, the final answer is: \[ < , \text{(less than)} \]
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