Page 174 - Basic College Mathematics with Early Integers

S E C T I O N 2.6 I ORDER OF OPERATIONS 151

12 - 16
Example 5 Simplify: PRACTICE 5
-1 + 3
-18 + 6
Solution: We simplify above and below the fraction bar separately.Then we divide. Simplify: -3 - 1
12 - 16 -4
=
-1 + 3 2
=-2
Work Practice 5

Example 6 Simplify: 60 + 30 + 1-22 3 PRACTICE 6
Simplify: 20 + 50 + 1-42 3
3
3
Solution: 60+30+(–2) =60+30+(–8) Write 1-22 as -8 .
=90+(–8) Add from left to right.
=82
Work Practice 6

Example 7 Simplify: -4 + 1-32 - 1 3 PRACTICE 7
2
2
3
2
Simplify: -2 + 1-42 + 1 5
Solution:
3
2
2
-4 + 1-32 - 1 = -16 + 9 - 1 Simplify expressions with exponents.
= -7 - 1 Add or subtract from left to right.
=-8
Work Practice 7

Example 8 Simplify: 314 - 72 + 1-22 - 225 PRACTICE 8
Simplify:
Solution:
212 - 82 + 1-122 - 29
314 - 72 + 1-22 - 225 = 31-32 + 1-22 - 5 Simplify inside parentheses and
replace 225 with 5.
=-9 + 1-22 - 5 Multiply.
=-11 - 5 Add or subtract from left to right.
=-16
Work Practice 8

Example 9 Simplify: 1-32 ƒ -5ƒ - 1-22 + 4 2 PRACTICE 9
#
Simplify:
Solution: 3
#
1-52 ƒ -4ƒ + 1-32 + 2
#
#
2
1-32 ƒ -5ƒ - 1-22 + 4 = 1-32 5 - 1-22 + 4 2 Write ƒ -5ƒ as 5.
#
= 1-32 5 - 1-22 + 16 Write 4 2 as 16.
= -15 - 1-22 + 16 Multiply.
= -13 + 16 Add or subtract from left to right.
= 3
Answers
Work Practice 9 5. 3 6. 6 7. 9 8. -27 9. -15