Order of Operations ( ) + X 

What are the Operations? ( ) + X 

What are the Operations?

Order of Operations Order = ordenar or منظور

The Order of Operations tells us how to do a math problem with more than one operation (+,-,x,/), in the correct order.

G E M S Order of Operations This will help to you to remember the order of operations.

G E M S Order of Operations G E M S Groupings Exponents Multiplication Subtraction

G E M S Order of Operations Where are the other operations? What operations are missing ? (Desaparecidos/ausente)

Where are the other operations? What Operations Are Missing?

(opuesta/ lo contrario/ inverso) Inverse or opposite What Operations Are Opposites?

G E M S Order of Operations G E M S

Groupings Parentheses ( ) Brackets[ ] Absolute Value ││ Always do groupings 1 st.

Parentheses ( ) Or Brackets [ ] Do what is inside first (3+2) = 5 If it is next to a number with no sign between multiply. 3(2) = 6

Parentheses ( ) What happens if you have both? 3( ) What do you do first? The INSIDE (3+2) = (5) Then… Multiply 3(5)

Always do Exponents 2 nd. Exponents or Radicals 3 ⁴ √81

Exponents or Radicals What does an exponent mean? Exponents tell you how many times to multiply a number. Exponent = number of times multiplied Base = the number multiplied

Exponents x 3

Exponents or Radicals What is a radical? A radical or root of a number is a value that, when multiplied by itself, gives the number.

Multiply x Divide  Do multiplication and division 3 rd, from left to right. Multiply or Divide

Add + Subtract - Do addition and subtraction 4th, from left to right. Subtraction and Division

GEMS Steps: 1 st : Identify the first operation. (Highlight or underline it) 2 nd : simplify 3 rd : repeat steps 1 &2

GEMS (9+1)

GEMS 3 (9+1) (10)+6 2 3(10)

GEMS 4+5 x (6-2) 4+5 x

GEMS x x

GEMS  

GEMS x –2 x

GEMS 64  (9 x 3-19) 64  (27 –19) 64  8 8

Have fun doing the Have fun doing the Order of Operations! Order of Operations!