Say for instance,you go to the supermarket. Suppose peanuts cost $3.00 per pound and a bottle of water is 1 dollar. You get yourself 2 pounds of peanuts and 1 bottle of water.

How much money do you pay?

Since 1 pound of peanuts is 3 dollars and you bought 2 pounds, peanuts cost 6 dollars. Add that to the amount you pay for the water(1 dollar), you paid a total of 7 dollars.

You may have figured this out without any major problems. However, if I present you with the following equation,which model the problem above, you might have a tendency to add 3 to 1 and multiply the result by 2.

2 × 3 + 1

Doing this will give 8 and it is not equal to 7.

To get the right answer, you must do multiplication first.

When doing computations,always follow the order of operations and always perform the operations according to the following

Rule #1 can be used when you see multiplication, division, or both successively such as in the following problem:

4

Do exponent:

16 - 6 × 2 ÷ 4 × 3 + 5

Multiply and Divide from left to right

16 - 12 ÷ 4 × 3 + 5

16 - 3 × 3 + 5

16 - 9 + 5

Add and Subtract from left to right

16 - 9 + 5

7 + 5

12

Rule #2 is called

The following mnemonic may help you remember the rule:

The P stands for Parentheses

The E stands for Exponents

The M stands for Multiply

The D stands for Division

The A stands for Add

The S stands for Subtraction

You can use PEMDAS when you don't see multiplication, division, or both successively such as in the following problem

(2 + 5

Do parenthesis:

(2 + 25 ) + 4 × 3 - 10

27 + 4 × 3 - 10

Do multiplication

27 + 12 - 10

Add

39 - 10

Subtract

29

10 - 14 ÷ 2 = 10 - 7 = 3 (Division comes before subtraction)

Remember that if you see multiplication and division at the same time, perform the operation from left to right.

4 + 5 ÷ 5 × 6 = 4 + 1 × 6 = 4 + 6 =10

Test your knowledge of the order of operations with the quiz below: |