Post on 06-Jan-2016
description
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