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Answer :
To solve the subtraction problem [tex]\((-65) - (-29)\)[/tex], follow these steps:
1. Recognize the Double Negative: The expression [tex]\((-65) - (-29)\)[/tex] involves subtracting a negative number. Subtracting a negative is the same as adding its positive equivalent. Therefore, [tex]\((-65) - (-29)\)[/tex] becomes [tex]\((-65) + 29\)[/tex].
2. Perform the Addition: Now that the expression is simplified to [tex]\((-65) + 29\)[/tex], proceed with the addition:
- Start at [tex]\(-65\)[/tex] on the number line.
- Move 29 units to the right (because you're adding a positive number).
3. Calculate the Result:
- Imagine the number line: Starting from [tex]\(-65\)[/tex], adding 29 moves you towards zero, but you haven't reached zero. You can think of it as reducing the negative amount by 29.
- Compute the result: [tex]\(-65 + 29 = -36\)[/tex].
So, the solution to [tex]\((-65) - (-29)\)[/tex] is [tex]\(-36\)[/tex].
Therefore, the correct answer is D) -36.
1. Recognize the Double Negative: The expression [tex]\((-65) - (-29)\)[/tex] involves subtracting a negative number. Subtracting a negative is the same as adding its positive equivalent. Therefore, [tex]\((-65) - (-29)\)[/tex] becomes [tex]\((-65) + 29\)[/tex].
2. Perform the Addition: Now that the expression is simplified to [tex]\((-65) + 29\)[/tex], proceed with the addition:
- Start at [tex]\(-65\)[/tex] on the number line.
- Move 29 units to the right (because you're adding a positive number).
3. Calculate the Result:
- Imagine the number line: Starting from [tex]\(-65\)[/tex], adding 29 moves you towards zero, but you haven't reached zero. You can think of it as reducing the negative amount by 29.
- Compute the result: [tex]\(-65 + 29 = -36\)[/tex].
So, the solution to [tex]\((-65) - (-29)\)[/tex] is [tex]\(-36\)[/tex].
Therefore, the correct answer is D) -36.
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