Answer :
Let's go through each of the arithmetic expressions step by step to find the solutions.
1. [tex]\( 80 - (-91) \)[/tex]:
- When subtracting a negative number, it is equivalent to adding the positive of that number.
- Therefore, [tex]\( 80 - (-91) = 80 + 91 = 171 \)[/tex].
2. [tex]\( 71 - 82 \)[/tex]:
- Perform the subtraction of the two numbers.
- [tex]\( 71 - 82 = -11 \)[/tex].
3. [tex]\( 70 + 68 \)[/tex]:
- Perform the addition of the two numbers.
- [tex]\( 70 + 68 = 138 \)[/tex].
4. [tex]\( 80 - 83 \)[/tex]:
- Perform the subtraction of the two numbers.
- [tex]\( 80 - 83 = -3 \)[/tex].
5. [tex]\( 86 + 42 \)[/tex]:
- Perform the addition of the two numbers.
- [tex]\( 86 + 42 = 128 \)[/tex].
6. [tex]\( 95 + (-48) \)[/tex]:
- Adding a negative number is the same as subtracting the positive version of that number.
- Therefore, [tex]\( 95 + (-48) = 95 - 48 = 47 \)[/tex].
7. [tex]\( -76 + (-49) \)[/tex]:
- Adding two negative numbers yields a more negative number.
- [tex]\( -76 + (-49) = -76 - 49 = -125 \)[/tex].
8. [tex]\( -33 + (-84) \)[/tex]:
- Adding two negative numbers yields a more negative number.
- [tex]\( -33 + (-84) = -33 - 84 = -117 \)[/tex].
9. [tex]\( -92 - 90 \)[/tex]:
- Perform the subtraction by adding the negative.
- [tex]\( -92 - 90 = -182 \)[/tex].
10. [tex]\( -77 - 76 \)[/tex]:
- Perform the subtraction by adding the negative.
- [tex]\( -77 - 76 = -153 \)[/tex].
11. [tex]\( -86 + (-16) \)[/tex]:
- Adding two negative numbers yields a more negative number.
- [tex]\( -86 + (-16) = -86 - 16 = -102 \)[/tex].
12. [tex]\( 97 + (-22) \)[/tex]:
- Adding a negative number is the same as subtracting the positive version of that number.
- Therefore, [tex]\( 97 + (-22) = 97 - 22 = 75 \)[/tex].
13. [tex]\( -88 - (-69) \)[/tex]:
- Subtracting a negative number is equivalent to adding the positive version of that number.
- Therefore, [tex]\( -88 - (-69) = -88 + 69 = -19 \)[/tex].
14. [tex]\( -84 + 77 \)[/tex]:
- Perform the addition of two numbers, one negative and one positive.
- [tex]\( -84 + 77 = -7 \)[/tex].
15. [tex]\( -50 + 80 \)[/tex]:
- Perform the addition of two numbers, one negative and one positive.
- [tex]\( -50 + 80 = 30 \)[/tex].
16. [tex]\( -63 + 86 \)[/tex]:
- Perform the addition of two numbers, one negative and one positive.
- [tex]\( -63 + 86 = 23 \)[/tex].
17. [tex]\( -92 + 67 \)[/tex]:
- Perform the addition of two numbers, one negative and one positive.
- [tex]\( -92 + 67 = -25 \)[/tex].
18. [tex]\( -77 - 54 \)[/tex]:
- Perform the subtraction by adding the negative.
- [tex]\( -77 - 54 = -131 \)[/tex].
19. [tex]\( -88 - (-94) \)[/tex]:
- Subtracting a negative number is equivalent to adding the positive version of that number.
- Therefore, [tex]\( -88 - (-94) = -88 + 94 = 6 \)[/tex].
20. [tex]\( -72 - (-27) \)[/tex]:
- Subtracting a negative number is equivalent to adding the positive version of that number.
- Therefore, [tex]\( -72 - (-27) = -72 + 27 = -45 \)[/tex].
21. [tex]\( -82 - (-77) \)[/tex]:
- Subtracting a negative number is equivalent to adding the positive version of that number.
- Therefore, [tex]\( -82 - (-77) = -82 + 77 = -5 \)[/tex].
22. [tex]\( -88 + 58 \)[/tex]:
- Perform the addition of two numbers, one negative and one positive.
- [tex]\( -88 + 58 = -30 \)[/tex].
23. [tex]\( 9 - 82 \)[/tex]:
- Perform the subtraction of the two numbers.
- [tex]\( 9 - 82 = -73 \)[/tex].
24. [tex]\( -75 + 77 \)[/tex]:
- Perform the addition of two numbers, one negative and one positive.
- [tex]\( -75 + 77 = 2 \)[/tex].
So, the results for the given questions are:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 80-(-91) & = & 171 & & 71-82 & = & -11 & & 70+68 & = & 138 \\ \hline 80-83 & = & -3 & & 86+42 & = & 128 & & 95+(-48) & = & 47 \\ \hline -76+(-49) & = & -125 & & -33+(-84) & = & -117 & & -92-90 & = & -182 \\ \hline -77-76 & = & -153 & & -86+(-16) & = & -102 & & 97+(-22) & = & 75 \\ \hline -88-(-69) & = & -19 & & -84+77 & = & -7 & & -50+80 & = & 30 \\ \hline -63+86 & = & 23 & & -92+67 & = & -25 & & -77-54 & = & -131 \\ \hline -88-(-94) & = & 6 & & -72-(-27) & = & -45 & & -82-(-77) & = & -5 \\ \hline -88+58 & = & -30 & & 9-82 & = & -73 & & -75+77 & = & 2 \\ \hline \end{array} \][/tex]
1. [tex]\( 80 - (-91) \)[/tex]:
- When subtracting a negative number, it is equivalent to adding the positive of that number.
- Therefore, [tex]\( 80 - (-91) = 80 + 91 = 171 \)[/tex].
2. [tex]\( 71 - 82 \)[/tex]:
- Perform the subtraction of the two numbers.
- [tex]\( 71 - 82 = -11 \)[/tex].
3. [tex]\( 70 + 68 \)[/tex]:
- Perform the addition of the two numbers.
- [tex]\( 70 + 68 = 138 \)[/tex].
4. [tex]\( 80 - 83 \)[/tex]:
- Perform the subtraction of the two numbers.
- [tex]\( 80 - 83 = -3 \)[/tex].
5. [tex]\( 86 + 42 \)[/tex]:
- Perform the addition of the two numbers.
- [tex]\( 86 + 42 = 128 \)[/tex].
6. [tex]\( 95 + (-48) \)[/tex]:
- Adding a negative number is the same as subtracting the positive version of that number.
- Therefore, [tex]\( 95 + (-48) = 95 - 48 = 47 \)[/tex].
7. [tex]\( -76 + (-49) \)[/tex]:
- Adding two negative numbers yields a more negative number.
- [tex]\( -76 + (-49) = -76 - 49 = -125 \)[/tex].
8. [tex]\( -33 + (-84) \)[/tex]:
- Adding two negative numbers yields a more negative number.
- [tex]\( -33 + (-84) = -33 - 84 = -117 \)[/tex].
9. [tex]\( -92 - 90 \)[/tex]:
- Perform the subtraction by adding the negative.
- [tex]\( -92 - 90 = -182 \)[/tex].
10. [tex]\( -77 - 76 \)[/tex]:
- Perform the subtraction by adding the negative.
- [tex]\( -77 - 76 = -153 \)[/tex].
11. [tex]\( -86 + (-16) \)[/tex]:
- Adding two negative numbers yields a more negative number.
- [tex]\( -86 + (-16) = -86 - 16 = -102 \)[/tex].
12. [tex]\( 97 + (-22) \)[/tex]:
- Adding a negative number is the same as subtracting the positive version of that number.
- Therefore, [tex]\( 97 + (-22) = 97 - 22 = 75 \)[/tex].
13. [tex]\( -88 - (-69) \)[/tex]:
- Subtracting a negative number is equivalent to adding the positive version of that number.
- Therefore, [tex]\( -88 - (-69) = -88 + 69 = -19 \)[/tex].
14. [tex]\( -84 + 77 \)[/tex]:
- Perform the addition of two numbers, one negative and one positive.
- [tex]\( -84 + 77 = -7 \)[/tex].
15. [tex]\( -50 + 80 \)[/tex]:
- Perform the addition of two numbers, one negative and one positive.
- [tex]\( -50 + 80 = 30 \)[/tex].
16. [tex]\( -63 + 86 \)[/tex]:
- Perform the addition of two numbers, one negative and one positive.
- [tex]\( -63 + 86 = 23 \)[/tex].
17. [tex]\( -92 + 67 \)[/tex]:
- Perform the addition of two numbers, one negative and one positive.
- [tex]\( -92 + 67 = -25 \)[/tex].
18. [tex]\( -77 - 54 \)[/tex]:
- Perform the subtraction by adding the negative.
- [tex]\( -77 - 54 = -131 \)[/tex].
19. [tex]\( -88 - (-94) \)[/tex]:
- Subtracting a negative number is equivalent to adding the positive version of that number.
- Therefore, [tex]\( -88 - (-94) = -88 + 94 = 6 \)[/tex].
20. [tex]\( -72 - (-27) \)[/tex]:
- Subtracting a negative number is equivalent to adding the positive version of that number.
- Therefore, [tex]\( -72 - (-27) = -72 + 27 = -45 \)[/tex].
21. [tex]\( -82 - (-77) \)[/tex]:
- Subtracting a negative number is equivalent to adding the positive version of that number.
- Therefore, [tex]\( -82 - (-77) = -82 + 77 = -5 \)[/tex].
22. [tex]\( -88 + 58 \)[/tex]:
- Perform the addition of two numbers, one negative and one positive.
- [tex]\( -88 + 58 = -30 \)[/tex].
23. [tex]\( 9 - 82 \)[/tex]:
- Perform the subtraction of the two numbers.
- [tex]\( 9 - 82 = -73 \)[/tex].
24. [tex]\( -75 + 77 \)[/tex]:
- Perform the addition of two numbers, one negative and one positive.
- [tex]\( -75 + 77 = 2 \)[/tex].
So, the results for the given questions are:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 80-(-91) & = & 171 & & 71-82 & = & -11 & & 70+68 & = & 138 \\ \hline 80-83 & = & -3 & & 86+42 & = & 128 & & 95+(-48) & = & 47 \\ \hline -76+(-49) & = & -125 & & -33+(-84) & = & -117 & & -92-90 & = & -182 \\ \hline -77-76 & = & -153 & & -86+(-16) & = & -102 & & 97+(-22) & = & 75 \\ \hline -88-(-69) & = & -19 & & -84+77 & = & -7 & & -50+80 & = & 30 \\ \hline -63+86 & = & 23 & & -92+67 & = & -25 & & -77-54 & = & -131 \\ \hline -88-(-94) & = & 6 & & -72-(-27) & = & -45 & & -82-(-77) & = & -5 \\ \hline -88+58 & = & -30 & & 9-82 & = & -73 & & -75+77 & = & 2 \\ \hline \end{array} \][/tex]
