Order of Operations

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BIDMAS Order of Operations:

BIDMAS Order of Operations

Important things to remember:

Important things to remember Brackets – anything grouped… including information above or below a fraction bar. Indices (Exponents) – anything in the same family as a ‘power’… this includes radicals (square roots). Some items are grouped!!! Multiplication and Division are GROUPED from left to right (like reading a book- do whichever comes first. Addition and Subtraction are also grouped from left to right, do whichever comes first in the problem.

So really it looks like this….. :

So really it looks like this….. B rackets I ndices D ivision and M ultiplication A ddition and S ubtraction In order from left to right In order from left to right


SAMPLE PROBLEM #1 Brackets Indices This one is tricky! Remember: Multiplication/Division are grouped from left to right…what comes 1 st ? Division did…now do the multiplication (indicated by parenthesis) More division Subtraction


SAMPLE PROBLEM Subtraction Indices Remember the division symbol here is grouping everything on top, so work everything up there first….multiplication Brackets Division – because all the work is done above and below the line

Order of Operations-BASICS Think: BIDMAS :

Order of Operations-BASICS Think: BIDMAS B rakets I ndices D ivision M ultiplication A ddition S ubtraction

Take time to practice:

Take time to practice

Lesson Extension:

Lesson Extension Can you fill in the missing operations? 2 - (3+5) + 4 = -2 4 + 7 * 3 ÷ 3 = 11 5 * 3 + 5 ÷ 2 = 10

Assignment #2 Create a Puzzle Greeting:

Assignment #2 Create a Puzzle Greeting Fold a piece of paper (white or colored) like a greeting card. On the cover: Write an equation with missing operations (like the practice slide) In the middle: Write the equation with the correct operations On the back: Put your name as you would find a companies name on the back of a greeting card.

Part 2: Properties of Real Numbers (A listing):

Part 2: Properties of Real Numbers (A listing) Associative Properties Commutative Properties Inverse Properties Identity Properties Distributive Property All of these rules apply to Addition and Multiplication

Associative Properties Associate = group :

Associative Properties Associate = group Rules: Associative Property of Addition (a+b)+c = a+(b+c) Associative Property of Multiplication (ab)c = a(bc) It doesn’t matter how you group (associate) addition or multiplication…the answer will be the same! Samples: Associative Property of Addition (1+2)+3 = 1+(2+3) Associative Property of Multiplication (2x3)4 = 2(3x4)

Commutative Properties Commute = travel (move) :

Commutative Properties Commute = travel (move) Rules: Commutative Property of Addition a+b = b+a Commutative Property of Multiplication ab = ba It doesn’t matter how you swap addition or multiplication around…the answer will be the same! Samples: Commutative Property of Addition 1+2 = 2+1 Commutative Property of Multiplication (2x3) = (3x2)

Stop and think!:

Stop and think! Does the Associative Property hold true for Subtraction and Division? Does the Commutative Property hold true for Subtraction and Division? Is 5-2 = 2-5? Is 6/3 the same as 3/6? Is (5-2)-3 = 5-(2-3)? Is (6/3)-2 the same as 6/(3-2)? Properties of real numbers are only for Addition and Multiplication

Inverse Properties Think: Opposite :

Inverse Properties Think: Opposite Rules: Inverse Property of Addition a+(-a) = 0 Inverse Property of Multiplication a(1/a) = 1 Samples: Inverse Property of Addition 3+(-3)=0 Inverse Property of Multiplication 2(1/2)=1 What is the opposite (inverse) of addition? What is the opposite of multiplication? Subtraction (add the negative) Division (multiply by reciprocal)

Identity Properties :

Identity Properties Rules: Identity Property of Addition a+0 = a Identity Property of Multiplication a(1) = a Samples: Identity Property of Addition 3+0=3 Identity Property of Multiplication 2(1)=2 What can you add to a number & get the same number back? What can you multiply a number by and get the number back? 0 (zero) 1 (one)

Distributive Property:

Distributive Property Rule: a(b+c) = ab+bc Samples: 4(3+2)=4(3)+4(2)=12+8=20 2(x+3) = 2x + 6 -(3+x) = -3 - x If something is sitting just outside a set of parenthesis, you can distribute it through the parenthesis with multiplication and remove the parenthesis.

Take time to practice:

Take time to practice


Homework Log on to class wiki / discussion thread Follow the directions given: Give an example of each of the properties discussed in class, do not duplicate a previous entry.

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