Subjects arithmetic

Sum Integers 381C7B

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1. **State the problem:** Calculate the value of the expression: $$1164 + 1536 - 9716 + 1442 + 8823 - 655 - 1300 + 984 + 1619 + 1669 + 2040 + 2055 - 1695 - 302 - 7700 + 2127 - 100 - 15000 + 12328 + 1688 + 1545 + 2518 + 1809 + 1733 + 2431$$ 2. **Add and subtract step-by-step:** Group positive and negative terms separately for clarity. Positive terms: $$1164 + 1536 + 1442 + 8823 + 984 + 1619 + 1669 + 2040 + 2055 + 2127 + 12328 + 1688 + 1545 + 2518 + 1809 + 1733 + 2431$$ Negative terms: $$-9716 - 655 - 1300 - 1695 - 302 - 7700 - 100 - 15000$$ 3. **Sum positive terms:** $$1164 + 1536 = 2700$$ $$2700 + 1442 = 4142$$ $$4142 + 8823 = 12965$$ $$12965 + 984 = 13949$$ $$13949 + 1619 = 15568$$ $$15568 + 1669 = 17237$$ $$17237 + 2040 = 19277$$ $$19277 + 2055 = 21332$$ $$21332 + 2127 = 23459$$ $$23459 + 12328 = 35787$$ $$35787 + 1688 = 37475$$ $$37475 + 1545 = 39020$$ $$39020 + 2518 = 41538$$ $$41538 + 1809 = 43347$$ $$43347 + 1733 = 45080$$ $$45080 + 2431 = 47511$$ 4. **Sum negative terms:** $$-9716 - 655 = -10371$$ $$-10371 - 1300 = -11671$$ $$-11671 - 1695 = -13366$$ $$-13366 - 302 = -13668$$ $$-13668 - 7700 = -21368$$ $$-21368 - 100 = -21468$$ $$-21468 - 15000 = -36468$$ 5. **Combine positive and negative sums:** $$47511 + (-36468) = 47511 - 36468 = 11043$$ 6. **Final answer:** $$\boxed{11043}$$ This is the result of the entire expression after carefully adding and subtracting all terms.