Subjects algebra

Integer Addition 46F96A

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1. **State the problem:** We need to solve each integer addition problem using integer addition rules. 2. **Rules for integer addition:** - When adding two negative numbers, add their absolute values and keep the negative sign. - When adding a positive and a negative number, subtract the smaller absolute value from the larger absolute value and take the sign of the number with the larger absolute value. 3. **Solve each problem step-by-step:** -4 + (-5): Both negative, add absolute values: $4 + 5 = 9$, result is $-9$. 6 + (-7): Different signs, subtract smaller from larger: $7 - 6 = 1$, sign of larger absolute value is negative, so $-1$. -2 + (-3): Both negative, add absolute values: $2 + 3 = 5$, result is $-5$. -7 + 8: Different signs, subtract smaller from larger: $8 - 7 = 1$, sign of larger absolute value is positive, so $1$. 1 + (-8): Different signs, subtract smaller from larger: $8 - 1 = 7$, sign negative, so $-7$. -9 + 1: Different signs, subtract smaller from larger: $9 - 1 = 8$, sign negative, so $-8$. -5 + (-6): Both negative, add absolute values: $5 + 6 = 11$, result is $-11$. 8 + (-12): Different signs, subtract smaller from larger: $12 - 8 = 4$, sign negative, so $-4$. -10 + (-4): Both negative, add absolute values: $10 + 4 = 14$, result is $-14$. -4 + 11: Different signs, subtract smaller from larger: $11 - 4 = 7$, sign positive, so $7$. 13 + (-7): Different signs, subtract smaller from larger: $13 - 7 = 6$, sign positive, so $6$. -14 + (-2): Both negative, add absolute values: $14 + 2 = 16$, result is $-16$. 20 + (-11): Different signs, subtract smaller from larger: $20 - 11 = 9$, sign positive, so $9$. -15 + 17: Different signs, subtract smaller from larger: $17 - 15 = 2$, sign positive, so $2$. -18 + (-12): Both negative, add absolute values: $18 + 12 = 30$, result is $-30$. -22 + (-22): Both negative, add absolute values: $22 + 22 = 44$, result is $-44$. **Final answers:** -4 + (-5) = $-9$ 6 + (-7) = $-1$ -2 + (-3) = $-5$ -7 + 8 = $1$ 1 + (-8) = $-7$ -9 + 1 = $-8$ -5 + (-6) = $-11$ 8 + (-12) = $-4$ -10 + (-4) = $-14$ -4 + 11 = $7$ 13 + (-7) = $6$ -14 + (-2) = $-16$ 20 + (-11) = $9$ -15 + 17 = $2$ -18 + (-12) = $-30$ -22 + (-22) = $-44$