Order of Operations

Learn to Read the problem correctly Then there is no doubt

The order of the process!

How do we read things in math

• Parenthesis () brackets [] braces {} the quantity of example (4+6) is read the quantity of 4 plus 6. This means you must do the operation within

the grouping symbol first – because you NEED the answer.

You try

• (5 -3)

• [ 4 + 17]• If multiple grouping symbols work from the

inside out• {4+ [5 - (2 -1)] }• 2-1 = 1 then 5-1 5-1 = 4• Finally 4 + 4 = 8

Exponents times itself ___ times

4³ 4 times itself 3 times 4 4 4 or 64∙ ∙

So if you have (2+3)²

You would read it

The quantity of 2 plus 3, times itself two timesYou would then know that you have to add 2 and 3 first, 5. You would then take that answer, 5, and multiply it by itself 2 times. 5 · 5 = 25

What would you do?

5³

(2+0)²

(5-1)³

(10-4)¹

Multiplicationgroups of

• 4 3 is 4 groups of 3 when you read the ∙math phrase this way, you know you must find out how many 4 groups of 3 is or in other words, what is 4 times 3

• You try• 7 6 2 ∙ 5 · 10

Divisionitems divided into groups of

• 10÷2 10 items divided into groups of 2

• 25÷5 25 items divided into groups of 5

• 100÷10• 1500÷500

Just like in English we would read left to right, processing things.Don’t forget to pay attention to the verbiage.Let’s try a few. Always copy all parts of the problems

2÷2 + 4 · 4 + 7= 1 + 4 · 4 + 7 = 1 + 16 + 7 = 17 + 7 = 24

5 + 4² - 7Reads 5 plus the square of 4 (or 4 times itself two times) minus 7Now let’s work it.5 + 4² - 7= 5 + 16 -7= 21 – 7= 14

I have ten stamps and I have 4 groups of 3 stamps. How many stamps do I have?How do I write this mathematically?

10 + 4 3∙ = 10 + 12 = 22

Sharon has 4 photo albums on her shelf. She put another 5 stacks of 4 photo albums on the shelf. How may photo albums were on the shelf?

Let’s draw it first – to see what she has.

Sharon’s 4 albums Photo albums

4 + 5 4 =∙

Practice WorkInstructions – rewrite the problem using words.Then write the original math problem.Work each step – showing all work - be careful to not drop any part of the problem. Remember to use phrases: times itself __ times groups of quantity of Items divided into groups of1. 7 + 3 3 + (2+1)∙

2. 90 ÷ (8 +2)

3. 5 · 8 – 2· 4

4. 45 + (2 +3)²