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Order of Operations

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.

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Order of Operations

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  1. Order of Operations Learn to Read the problem correctly Then there is no doubt The order of the process!

  2. 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.

  3. 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

  4. 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 times You 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

  5. What would you do? 5³ (2+0)² (5-1)³ (10-4)¹

  6. 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

  7. 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

  8. 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

  9. 5 + 4² - 7 Reads 5 plus the square of 4 (or 4 times itself two times) minus 7 Now let’s work it. 5 + 4² - 7 = 5 + 16 -7 = 21 – 7 = 14

  10. 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

  11. 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 =

  12. Practice Work Instructions – 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. 7 + 3 ∙ 3 + (2+1) 90 ÷ (8 +2) 5 · 8 – 2· 4 45 + (2 +3)²

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