To solve the expressions step-by-step:
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For the first expression: \(-6 + 3 \times 5\)
Calculate \(3 \times 5\): \[ = 15 \]
Now, calculate \(-6 + 15\): \[ -6 + 15 = 9 \]
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For the second expression: \(\sqrt{16} + 32 \div 8\)
Calculate \(\sqrt{16}\): \[ = 4 \]
Now, calculate \(32 \div 8\): \[ = 4 \]
Now add the results: \[ 4 + 4 = 8 \]
Now we have:
- The first expression evaluates to \(9\).
- The second expression evaluates to \(8\).
Thus, the statement is \(9\) and \(8\). To find an operator that can be inserted to make a true statement, consider common mathematical operations like either using an equals sign or an inequality.
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If we insert an equality operator \(=\): \[ 9 = 8 \quad \text{(not true)} \]
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If we insert a greater than operator \(>\): \[ 9 > 8 \quad \text{(true)} \]
In conclusion, the operator that can be used to relate the two statements and make a true statement is \(>\).