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Answer :
Sure! Let's go through each subtraction step by step:
1. First Expression: [tex]\(-25 - 40\)[/tex]
- Start with [tex]\(-25\)[/tex].
- Subtract [tex]\(40\)[/tex] from it, which means you're moving further into the negative numbers.
- Think of this on a number line: when you subtract a positive number, you're moving left. So, starting from [tex]\(-25\)[/tex] and moving 40 spaces left takes you to [tex]\(-65\)[/tex].
Therefore, [tex]\(-25 - 40 = -65\)[/tex].
2. Second Expression: [tex]\(-9 - (-2)\)[/tex]
- Start with [tex]\(-9\)[/tex].
- You need to subtract [tex]\(-2\)[/tex], which is the same as adding the positive value of [tex]\(2\)[/tex] (because subtracting a negative number is like adding the positive equivalent).
- So, [tex]\(-9 - (-2)\)[/tex] becomes [tex]\(-9 + 2\)[/tex].
- Add [tex]\(2\)[/tex] to [tex]\(-9\)[/tex]. On a number line, this means moving 2 spaces to the right from [tex]\(-9\)[/tex], which brings you to [tex]\(-7\)[/tex].
Therefore, [tex]\(-9 - (-2) = -7\)[/tex].
In conclusion, the results are:
- For the first expression, [tex]\(-25 - 40\)[/tex], the answer is [tex]\(-65\)[/tex].
- For the second expression, [tex]\(-9 - (-2)\)[/tex], the answer is [tex]\(-7\)[/tex].
1. First Expression: [tex]\(-25 - 40\)[/tex]
- Start with [tex]\(-25\)[/tex].
- Subtract [tex]\(40\)[/tex] from it, which means you're moving further into the negative numbers.
- Think of this on a number line: when you subtract a positive number, you're moving left. So, starting from [tex]\(-25\)[/tex] and moving 40 spaces left takes you to [tex]\(-65\)[/tex].
Therefore, [tex]\(-25 - 40 = -65\)[/tex].
2. Second Expression: [tex]\(-9 - (-2)\)[/tex]
- Start with [tex]\(-9\)[/tex].
- You need to subtract [tex]\(-2\)[/tex], which is the same as adding the positive value of [tex]\(2\)[/tex] (because subtracting a negative number is like adding the positive equivalent).
- So, [tex]\(-9 - (-2)\)[/tex] becomes [tex]\(-9 + 2\)[/tex].
- Add [tex]\(2\)[/tex] to [tex]\(-9\)[/tex]. On a number line, this means moving 2 spaces to the right from [tex]\(-9\)[/tex], which brings you to [tex]\(-7\)[/tex].
Therefore, [tex]\(-9 - (-2) = -7\)[/tex].
In conclusion, the results are:
- For the first expression, [tex]\(-25 - 40\)[/tex], the answer is [tex]\(-65\)[/tex].
- For the second expression, [tex]\(-9 - (-2)\)[/tex], the answer is [tex]\(-7\)[/tex].
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