Order of Operations 61
Problem Simplify.a.60
12− 343 +() 111 +^3b. 100 + 838 2 −÷ 6363 () 25c.− 72 + (^5) +
35 −
81 +− 5 −() 5 − 33
Solution
a.
60
12
− 343 +() 111 +^3
Step 1. Compute 11 inside the parentheses.
60
12
− 343 +() 111 3
=−+
60
12
34 ⋅ 23
Step 2. Evaluate 23.=−+60
12
34 ⋅ 8
Step 3. Compute60
12
.
=− 5 34 ⋅ + 8
Step 4. Compute 34.
= 58 − +Step 5. Compute 512.
=− 7 + 8Step 6. Compute − 78 +.
= 1Step 7. Review the main steps.
60
1234
60
12
342
60
12
− 3 +() 111 3 =− 4 +^3 =− 344 + 855 − 12 + 818
533 ⋅ 48 +≠ 8 212. Multiply before^
adding or subtracting—when no
grouping symbols are present.