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Evaluate : (-16)-(-5)...

Evaluate :
`(-16)-(-5)`

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The correct Answer is:
To evaluate the expression \((-16) - (-5)\), we can follow these steps: ### Step 1: Understand the expression The expression is \((-16) - (-5)\). Here, we have a negative number \(-16\) and we are subtracting another negative number \(-5\). **Hint:** Remember that subtracting a negative number is the same as adding its positive counterpart. ### Step 2: Rewrite the expression We can rewrite the expression by changing the subtraction of a negative number to addition: \[ (-16) - (-5) = (-16) + 5 \] **Hint:** When you subtract a negative number, it becomes addition. ### Step 3: Perform the addition Now we need to add \(-16\) and \(5\): \[ -16 + 5 \] **Hint:** When adding numbers with different signs, subtract the smaller absolute value from the larger absolute value. ### Step 4: Calculate the absolute values The absolute values are: - The absolute value of \(-16\) is \(16\). - The absolute value of \(5\) is \(5\). Since \(16\) (from \(-16\)) is greater than \(5\), we will subtract \(5\) from \(16\): \[ 16 - 5 = 11 \] **Hint:** Keep track of which number has the greater absolute value to determine the sign of the result. ### Step 5: Determine the sign of the result Since \(-16\) has a greater absolute value and is negative, the result will also be negative: \[ -16 + 5 = -11 \] ### Final Answer Thus, the evaluated result of \((-16) - (-5)\) is: \[ \boxed{-11} \]
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