# Answers: October 26

November 9, 2009

## Answer: Computer Operations Problems: Order of Arithmetic Operations

Considering the rules of precedence used by computers, what solution will be generated for the calculation shown?

9 + (2*6) * 54/10

A. 650

B. 750.9

C. 759

D. 1312.5

The rules of precedence, or order of operation, can be recalled using the mnemonic, "please excuse my dear aunt sally." This mnemonic stands for parentheses, exponents, multiplication, division, addition, and subtraction.

To find the solution for the calculation 9 + (2 x 6) x 54 / 10, first multiply the 2 and the 6 together to get 12. The calculation becomes 9 + 12 x 54 / 10.

Then, evaluate the exponent 54. The calculation becomes 9 + 12 x 625 / 10. Next, multiply 12 and 625, so that the calculation becomes 9 + 7500 / 10. Divide 7500 by 10 to get 750. Finally, add 9.

Therefore, 9 + (2 x 6) x 54 / 10 is equal to 759.

This is problem 1(16-1) from the NEW third edition of “Surveying Solved Problems for the FS and PS Exams” by Jan Van Sickle, PLS (formerly "1001 Solved Surveying Fundamentals Problems"). Reprinted with permission from “Surveying Solved Problems for the FS and PS Exams” by Jan Van Sickle, PLS (2008 Professional Publications Inc.). For details on this and other FLS exam-prep books, call 800/426-1178 or visit www.ppi2pass.com

9 + (2*6) * 54/10

A. 650

B. 750.9

C. 759

D. 1312.5

**Solution:**The rules of precedence, or order of operation, can be recalled using the mnemonic, "please excuse my dear aunt sally." This mnemonic stands for parentheses, exponents, multiplication, division, addition, and subtraction.

To find the solution for the calculation 9 + (2 x 6) x 54 / 10, first multiply the 2 and the 6 together to get 12. The calculation becomes 9 + 12 x 54 / 10.

Then, evaluate the exponent 54. The calculation becomes 9 + 12 x 625 / 10. Next, multiply 12 and 625, so that the calculation becomes 9 + 7500 / 10. Divide 7500 by 10 to get 750. Finally, add 9.

Therefore, 9 + (2 x 6) x 54 / 10 is equal to 759.

**The answer is C.**This is problem 1(16-1) from the NEW third edition of “Surveying Solved Problems for the FS and PS Exams” by Jan Van Sickle, PLS (formerly "1001 Solved Surveying Fundamentals Problems"). Reprinted with permission from “Surveying Solved Problems for the FS and PS Exams” by Jan Van Sickle, PLS (2008 Professional Publications Inc.). For details on this and other FLS exam-prep books, call 800/426-1178 or visit www.ppi2pass.com