Question

Perform the indicated operation. a. \(5+(-7)\) b. \(13+(-17)\) c. \(8+(-8)\) d. \(15+(-6)\) \(e_{1}-2+9\) f. \(-11+17\) g. \(-20+4\) h. \(-10+(+2)\) i. \(-5+-1\) j. \(-9-5\) \(k .-12+(-12)\) 1\. \(-6+(-17)\) m. \(-14-(-15)\) n. \(-16-(-12)\) o. \(-21-(-18)\)

Short answer

Question: Perform the following arithmetic operations with positive and negative numbers: a. \(5+(-7)\), b. \(13+(-17)\), c. \(8+(-8)\), d. \(15+(-6)\), e. \(-2+9\), f. \(-11+17\), g. \(-20+4\), h. \(-10+(+2)\), i. \(-5 +-1\), j. \(-9-5\), k. \(-12+(-12)\), l. \(-6+(-17)\), m. \(-14-(-15)\), n. \(-16-(-12)\), o. \(-21-(-18)\) Answer: a. -2, b. -4, c. 0, d. 9, e. 7, f. 6, g. -16, h. -8, i. -6, j. -14, k. -24, l. -23, m. 1, n. -4, o. -3

Step-by-step solution

Perform the addition

Adding a negative number is the same as subtracting the positive counterpart, so this operation can be re-written as: \(5 - 7\). Subtract 7 from 5 you get \(-2\). #b. \(13+(-17)\)#

Perform the addition

Since \(13 + (-17)\) can be written as \(13 - 17\), subtract 17 from 13 to get \(-4\). #c. \(8+(-8)\)#

Perform the addition

Since \(8 + (-8)\) can be written as \(8 - 8\), subtract 8 from 8 to get \(0\). #d. \(15+(-6)\)#

Perform the addition

Since \(15 + (-6)\) can be written as \(15 - 6\), subtract 6 from 15 to get \(9\). \(e. -2+9\)

Perform the addition

Add the two numbers, -2 and 9, to get \(7\). #f. \(-11+17\)

Perform the addition

Add the two numbers, -11 and 17, to get \(6\). #g. \(-20+4\)

Perform the addition

Add the two numbers, -20 and 4, to get \(-16\). #h. \(-10+(+2)\)

Perform the addition

Since \(-10 + (+2)\) can be written as \(-10 + 2\), add the two numbers, -10 and 2, to get \(-8\). #i. \(-5 +-1\)

Perform the addition

Since \(-5 + (-1)\) can be written as \(-5 - 1\), subtract 1 from -5 to get \(-6\). #j. \(-9-5\)

Perform the subtraction

Subtract 5 from -9 to get \(-14\). \(k. -12+(-12)\)

Perform the addition

Since \(-12 + (-12)\) can be written as \(-12 - 12\), subtract 12 from -12 to get \(-24\). #l. \(-6+(-17)\)

Perform the addition

Since \(-6 + (-17)\) can be written as \(-6 - 17\), subtract 17 from -6 to get \(-23\). #m. \(-14-(-15)\)

Perform the subtraction

Since \(-14 - (-15)\) can be written as \(-14 + 15\), add the two numbers, -14 and 15, to get \(1\). #n. \(-16-(-12)\)

Perform the subtraction

Since \(-16 - (-12)\) can be written as \(-16 + 12\), add the two numbers, -16 and 12, to get \(-4\). #o. \(-21-(-18)\)

Perform the subtraction

Since \(-21 - (-18)\) can be written as \(-21 + 18\), add the two numbers, -21 and 18, to get \(-3\).