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Evaluate the following : -190-(-351...

Evaluate the following :
`-190-(-3512)`

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The correct Answer is:
To evaluate the expression \(-190 - (-3512)\), we can follow these steps: ### Step 1: Understand the expression The expression is \(-190 - (-3512)\). Here, we have a negative number being subtracted from another negative number. **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: \[ -190 - (-3512) = -190 + 3512 \] **Hint**: When you see a minus sign in front of a bracket containing a negative number, change it to a plus sign and remove the bracket. ### Step 3: Perform the addition Now we need to add \(-190\) and \(3512\): \[ -190 + 3512 \] **Hint**: When adding a negative number and a positive number, subtract the absolute values and keep the sign of the number with the larger absolute value. ### Step 4: Calculate the absolute values The absolute values are: - Absolute value of \(-190\) is \(190\) - Absolute value of \(3512\) is \(3512\) Now, since \(3512\) is greater than \(190\), we will subtract: \[ 3512 - 190 = 3322 \] **Hint**: Always check which number has the larger absolute value to determine the sign of the result. ### Step 5: Determine the sign of the result Since \(3512\) is greater than \(190\), the result will be positive: \[ -190 + 3512 = 3322 \] **Final Answer**: \[ 3322 \] ### Summary of Steps: 1. Rewrite the expression by changing subtraction of a negative to addition. 2. Add the numbers while considering their signs. 3. Subtract the absolute values and determine the sign based on which number is larger.
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