# Order of Calculations

by Ben

Use PEMDAS to compute the answer to the following expression.

30÷2(2+3)÷5=?

Is the answer 15 or 0.6?

This problem illustrates how important it is to include parentheses to clarify the order of operations.

### Comments for Order of Calculations

 Apr 20, 2011 Order of Calculations by: Staff The question: by Ben30÷2(2+3)÷5=?Is the answer 15 or 0.6?The answer:The answer is 15.Read the expression from left to right30÷2(2+3)÷5=?(30 ÷ 2) * (2 + 3) ÷ 5 = ?Left to right: do this first(30 ÷ 2) = 15Left to right: do this second(2 + 3) = 5Left to right: do this third15 *5 = 75Left to right: do this fourth75/5 = 15Using parentheses[(30 ÷ 2) * (2 + 3)] ÷ 5 = ?[(15) * (2 + 3)] ÷ 5 = ?[(15) * (5)] ÷ 5 = ?(75) ÷ 5 = ?75 ÷ 5 = 15Or (the answer will be the same)30÷2(2+3)÷5=?Left to right(30 ÷ 2) * (2 + 3) ÷ 5 = ?(30 ÷ 2) * [(2 + 3) ÷ 5] = ?(30 ÷ 2) * [(5) ÷ 5] = ?(30 ÷ 2) * (5 ÷ 5) = ?(15) * (5 ÷ 5) = ?(15) * (1) = ?(15) * (1) = 15This problem illustrates how important it is to include parentheses to clarify the order of operations.[(30 ÷ 2) * (2 + 3)] ÷ 5 = ?Instead of30÷2(2+3)÷5=?Thanks for writing.Staff www.solving-math-problems.com

 Apr 20, 2011 Still a little confused by: Ben Many thanks for your answer. 30÷2(2+3)÷5=15 What would your comment be if anyone argues that: 2(2+3) should be calculated first before the rest of the calculations from left to right? As in: 30 ÷ 2(2+3) ÷ 5 = ? 30 ÷ (4+6)÷ 5 = ? 30 ÷ 10 ÷ 5 = 0.6 Any difference in the answer by the way the mathematical question is expressed as below? 30÷2(2+3)÷5=0.6 30÷2x(2+3)÷5=15