Order of Operations
Explain order of operations.
P- parentheses
E- exponents
MD- multiplication and division from left to right
AS- addition and subtraction from left to right.
You use PEMDAS when simplifying expressions, and it tells you what to do in what order.
Using money, explain how to simplify -10 - 6
You are in debt $10, and then spend another $6. Now you are in debt $16.
-10 - 6 = -16
Explain the process of simplifying 1/4 + 1/5. Use correct vocabulary.
To add fractions, you must find a common denominator. The common denominator would be 20, because 20 is divisible by both 4 and 5.
Multiply 1/4 * 5/5 = 5/20
Multiply 1/5 * 4/4 = 4/20
Now you have common denominators, so you can add 5/20 + 4/20. Add the numerators and keep the denominators, and that gives you 9/20.
Define variables and create an equation.
Aiden drinks 2 cartons of chocolate milk everyday. What is the total number of cartons of milk he drinks after a certain amount of days?
x = number of days
y = total number of cartons of milk
Equation: y=2x
Why is defining variables important?
You need to define your variables so you know what they represent when you are solving an equation.
18 / 3 - 7 + 2 * 5
9
Explain the process of simplifying 10 - (-5)
When you subtract a negative, that turns into addition.
10 - (-5) = 10 + 5 = 15
Explain the process of simplifying 1/3 / 5/2. Use correct vocabulary and phrases.
When dividing fractions, you multiply by the reciprocal, or keep switch flip.
Keep 1/3, switch from division to multiplication, and flip 5/2 to 2/5
1/3 * 2/5 = 2/15
Define variables and create an equation.
Otavio is listening to a new album with 30 songs. How many songs does he have left after listening to some songs?
x = number of songs listened to
y = number of songs left
Equation: y = 30 - x
In PEMDAS, does addition always come before subtraction?
No, you do addition and subtraction from left to right.
-8(3-2) + 2/5
42/5
-15 + - 10 - 30
-55
1/2 (3/4 - 2/3)
1/24
Define variables and create an equation.
Jack does 2.5 math problems every minute. How many math problems can he do in a certain amount of time?
x = minutes
y = total math problems
Equation: y = 2.5x
What is (1/3)^2
1/9
1/2 (3/4 - 2/3)
1/24
(-2)^3
-8
5/6 * 3/2 / 1/3
15/4
Define your variables and write an equation.
Ms. Hayes has candy for her class. How many pieces of candy do each student get if there are 3 students?
x = total pieces of candy
y = how many pieces of candy each student gets
y = x/3
What is a reciprocal?
The inverse of a number
Ex: The reciprocal of 5 is 1/5
5 + 2^3 * (22/11) - 3^2 * (4+5)
-60
-5 - (-17) + 3
15
4/3 + 2/7
34/21
Define your variables and write an equation.
There are 180 days in a school year. How many days are left after each completed school day?
x = number of school days completed
y = number of school days left
y = 180 - x
6(0) + 3^0
1