To determine which operator can be inserted to make the expression true, we need to evaluate both sides of the equation.
First, let's calculate the left side of the expression:
\[ -6 + 3 \cdot 5 \] Calculating \(3 \cdot 5\): \[ 3 \cdot 5 = 15 \] Now substitute back: \[ -6 + 15 = 9 \]
Next, let's calculate the right side of the expression:
\[ 16 - \sqrt{16} + 32 \div 8 \] Calculating \(\sqrt{16}\): \[ \sqrt{16} = 4 \] Calculating \(32 \div 8\): \[ 32 \div 8 = 4 \] Now substitute these values back into the expression: \[ 16 - 4 + 4 = 16 \]
Now we have the values:
- Left side: 9
- Right side: 16
Now, we need to compare these two results:
\[ 9 \quad ? \quad 16 \]
The correct operator to insert here is "<" (less than), since \(9 < 16\).
So the correct answer is:
< (less than)
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