QuestionAugust 24, 2025

2. -8+(-3) 3. 7-(-5) __ __ 5. -14.2+15.8 6. -(1)/(5)+2(2)/(5) __ __ __ 3. 1.8+(-2.1) 9. -(1)/(3)+(-4(1)/(2)) __ __ __ 11. -3.5-11.6 12. 2.54-5.54 __ __ __ 14. 2-5(2)/(5) 15. 5.9-(-3.6) __ __ __ of the reservoir in Purcellville, Virginia was

2. -8+(-3) 3. 7-(-5) __ __ 5. -14.2+15.8 6. -(1)/(5)+2(2)/(5) __ __ __ 3. 1.8+(-2.1) 9. -(1)/(3)+(-4(1)/(2)) __ __ __ 11. -3.5-11.6 12. 2.54-5.54 __ __ __ 14. 2-5(2)/(5) 15. 5.9-(-3.6) __ __ __ of the reservoir in Purcellville, Virginia was
2. -8+(-3)
3. 7-(-5)
__
__
5. -14.2+15.8
6. -(1)/(5)+2(2)/(5)
__
__
__
3. 1.8+(-2.1)
9. -(1)/(3)+(-4(1)/(2))
__
__
__
11. -3.5-11.6
12. 2.54-5.54
__
__
__
14. 2-5(2)/(5)
15. 5.9-(-3.6)
__
__
__
of the reservoir in Purcellville, Virginia was

Solution
4.7(188 votes)

Answer

-11, 12, 1.6, 2.2, -0.3, -\frac{29}{6}, -15.1, -3.0, -3.4, 9.5 Explanation 1. Calculate -8 + (-3) Add the numbers directly: -8 + (-3) = -11. 2. Calculate 7 - (-5) Subtracting a negative is equivalent to adding: 7 + 5 = 12. 3. Calculate -14.2 + 15.8 Add the numbers directly: -14.2 + 15.8 = 1.6. 4. Calculate -\frac{1}{5} + 2\frac{2}{5} Convert mixed number to improper fraction: 2\frac{2}{5} = \frac{12}{5}. Add fractions: -\frac{1}{5} + \frac{12}{5} = \frac{11}{5} = 2.2. 5. Calculate 1.8 + (-2.1) Add the numbers directly: 1.8 - 2.1 = -0.3. 6. Calculate -\frac{1}{3} + (-4\frac{1}{2}) Convert mixed number to improper fraction: -4\frac{1}{2} = -\frac{9}{2}. Add fractions: -\frac{1}{3} + (-\frac{9}{2}) = -\frac{29}{6}. 7. Calculate -3.5 - 11.6 Subtract directly: -3.5 - 11.6 = -15.1. 8. Calculate 2.54 - 5.54 Subtract directly: 2.54 - 5.54 = -3.0. 9. Calculate 2 - 5\frac{2}{5} Convert mixed number to improper fraction: 5\frac{2}{5} = \frac{27}{5}. Subtract fractions: 2 - \frac{27}{5} = -\frac{17}{5} = -3.4. 10. Calculate 5.9 - (-3.6) Subtracting a negative is equivalent to adding: 5.9 + 3.6 = 9.5.

Explanation

1. Calculate $-8 + (-3)$<br /> Add the numbers directly: $-8 + (-3) = -11$.<br /><br />2. Calculate $7 - (-5)$<br /> Subtracting a negative is equivalent to adding: $7 + 5 = 12$.<br /><br />3. Calculate $-14.2 + 15.8$<br /> Add the numbers directly: $-14.2 + 15.8 = 1.6$.<br /><br />4. Calculate $-\frac{1}{5} + 2\frac{2}{5}$<br /> Convert mixed number to improper fraction: $2\frac{2}{5} = \frac{12}{5}$.<br /> Add fractions: $-\frac{1}{5} + \frac{12}{5} = \frac{11}{5} = 2.2$.<br /><br />5. Calculate $1.8 + (-2.1)$<br /> Add the numbers directly: $1.8 - 2.1 = -0.3$.<br /><br />6. Calculate $-\frac{1}{3} + (-4\frac{1}{2})$<br /> Convert mixed number to improper fraction: $-4\frac{1}{2} = -\frac{9}{2}$.<br /> Add fractions: $-\frac{1}{3} + (-\frac{9}{2}) = -\frac{29}{6}$.<br /><br />7. Calculate $-3.5 - 11.6$<br /> Subtract directly: $-3.5 - 11.6 = -15.1$.<br /><br />8. Calculate $2.54 - 5.54$<br /> Subtract directly: $2.54 - 5.54 = -3.0$.<br /><br />9. Calculate $2 - 5\frac{2}{5}$<br /> Convert mixed number to improper fraction: $5\frac{2}{5} = \frac{27}{5}$.<br /> Subtract fractions: $2 - \frac{27}{5} = -\frac{17}{5} = -3.4$.<br /><br />10. Calculate $5.9 - (-3.6)$<br /> Subtracting a negative is equivalent to adding: $5.9 + 3.6 = 9.5$.
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