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Chapter 3: Problem 2

Perform the indicated operation. a. \(3+(-4)-10\) b. \(-5-6+3\) c. \(-4-5-3\) d. \(-1-2-3\) e. \(4+(-6)+6\) f. \(9+8+(-3)\) g. \(1-(-1)-1\) h. \(7-(-3)-7\) i. \(-4-(-5)+(-6) \quad\) j. \(-2-(-7)+(-5)\)

Short Answer

Expert verified
a. \(3+(-4)-10\) b. \(-5-6+3\) c. \(-4-5-3\) d. \(-1-2-3\) e. \(4+(-6)+6\) f. \(9+8+(-3)\) g. \(1-(-1)-1\) h. \(7-(-3)-7\) i. \(-4-(-5)+(-6)\) j. \(-2-(-7)+(-5)\) Answer: a. -11 b. -8 c. -12 d. -6 e. 4 f. 14 g. 1 h. 3 i. -5 j. 0

Step by step solution

01

a. \(3+(-4)-10\)

First, perform the addition: \(3+(-4) = -1\). Now, perform the subtraction: \(-1-10 = -11\). The final result is \(-11\).
02

b. \(-5-6+3\)

First, perform the subtraction: \(-5 - 6 = -11\). Then, perform the addition: \(-11+3 = -8\). The final result is \(-8\).
03

c. \(-4-5-3\)

Proceed in the order of operations: \(-4 - 5 = -9\), and then \(-9 - 3 = -12\). The final result is \(-12\).
04

d. \(-1-2-3\)

Proceed in the order of operations: \(-1 - 2 = -3\), and then \(-3 - 3 = -6\). The final result is \(-6\).
05

e. \(4+(-6)+6\)

First, perform the addition: \(4+(-6) = -2\). Now, perform the addition: \(-2+6 = 4\). The final result is \(4\).
06

f. \(9+8+(-3)\)

First, perform the addition: \(9+8 = 17\). Then, perform the addition: \(17+(-3) = 14\). The final result is \(14\).
07

g. \(1-(-1)-1\)

First, notice that subtracting a negative number is the same as adding its positive counterpart: \(1-(-1) = 1+1 = 2\). Now, perform the subtraction: \(2-1 = 1\). The final result is \(1\).
08

h. \(7-(-3)-7\)

First, notice that subtracting a negative number is the same as adding its positive counterpart: \(7-(-3) = 7+3 = 10\). Now, perform the subtraction: \(10-7 = 3\). The final result is \(3\).
09

i. \(-4-(-5)+(-6)\)

First, notice that subtracting a negative number is the same as adding its positive counterpart: \(-4-(-5) = -4+5 = 1\). Now, perform the addition: \(1+(-6) = -5\). The final result is \(-5\).
10

j. \(-2-(-7)+(-5)\)

First, notice that subtracting a negative number is the same as adding its positive counterpart: \(-2-(-7) = -2+7 = 5\). Now, perform the addition: \(5+(-5) = 0\). The final result is \(0\).

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