What do we call the rules we go by to solve an equation with more than one operation (x, +, -, /)?
The "order of operations" or, P.E.M.D.A.S.
Integers are?
All positive and negative WHOLE NUMBERS (no fractions or decimals).
What is -2+6/2
1
1. First Divide 6/2 = 3.
2. Last Add -2+3 (3-2 is 1 and 3 is positive and has the greater absolute value, so the answer is positive.
When solving an equation how do you want to show your work?
Write the original equation or problem on the first line and then work down line by line until you have your answer.
-1 - 3
-4
What does each letter in P.E.M.D.A.S stand for?
P= Parentheses ( )
E= Exponents x2
M= Multiplication D= Division /
A= Addition + S= Subtraction
The rule for adding two negative integers is?
Example: -2 + -3
Add the numbers and keep the (-) sign.
Example answer: -2 + -3= -5
7-24/8*4+9 is?
4
When you see a (-) sign in an equation, what should you do????
ADD OP
* Change the minus (-) sign to a plus (+) and change the next number to its opposite.
Example: 4-5? 4 + (-5)= -1
9 + (-2) - 2
5
What is the main reason people can look at the same equation and get different answers?
They didn't follow "the order of ops" or they followed it incorrectly?
(4+8)
_____
(4/2)
6
(4+8) =12
(4/2)= 2
12/2= the final answer of 6.
In math a positive (+) number times a negative (-) number is?
Negative
-12/-2*-3
-18
Why does Mrs. Atkinson write PEMDAS like this
P
E
MD
AS
In the order of ops multiplication and divison are on equal levels, so you do any multiplication or division first (from left to right). Then any addition or division from left to right.
The rule for adding two integers with DIFFERENT signs is?
5 + -8 = ?
1. Subtract the numbers.
2. Keep the sign (+ or -) of the number with the biggest absolute value.
Example answer 8-5 = 3, 8 has the greater absolute value so it's negative goes on to the answer.
5 + -8 = -3
(17-6/2)+4*3
26
In math, a negative (-) times a negative (-) number is?
Positive
-m-6m
-7m
In math, there are how many operations?
4. Addition, subtraction, multiplication and division.
Describe where positive and negative numbers fall on a number line?
All positive numbers are to the right of zero and all negative numbers are to the left of zero.
23(11-6)-4
36
Invisible before a variable with no coefficient is?
1
Simplify 3y+8-7y-1
-4y + 7