Fix My Mistake
Critical Thinking/Procedures
PEMDAS with Rational Numbers
PEMDAS with Rational Numbers
Integer Rules
100

9 - 3 x 2 = 12

9 -3 x 2 = 3

100

List the correct order for the order of operations.

Parenthesis (brackets, absolute value, all grouping symbols), Exponents , Multiplication/Division (interchangeable from left to right), Addition/Subtraction (interchangeable from left to right)

100

- {3 + 6}^2 + (1/2 x 2) - 14 / 7

80

100

(1/8 + 2 1/4) x (12.5 - 4.7) + 2/16 - 4


decimal and fraction

14.65 and 14 13/20

100

the sum or difference of same sign integers?

1.) same signs = add the numbers, and keep the same sign    

2.) Keep, Change, Change

200

10÷5 x 2 = 1

10÷5 x 2 = 4 

200

What are considered grouping symbols in order of operations ( 3 types) ?

absolute value, parenthesis, brackets

200

-(-6/3+5) - (0.75)^2 + 5.8

3.3625

200

-(15 - 5)^2 x 10  + 3

1003

200

Multiplying or Dividing different sign integers?

Different signs = negative answer

300

5 x 5 +1 = 30

5 x 5 + 1= 26

300

What is an exponent?

Powers that tell you how many times you will multiply the base by itself.

300

12 - 8 ÷ 2 + 3

11

300

6^3 x 8 + (- 9 - 6 )/3

1,723

300

Sum or difference of different sign integers?

1.) different signs = subtract the numbers, and keep the sign of the bigger number  

2.) Keep, Change, Change

400

4 + 5 + 7 - 3 x 2 = 26

4 + 5 + 7 - 3 x 2 = 10

400

If I have addition and subtraction in my expression, I should move from ______ ___ _______.

left to right

400

15/60 x - l 0.25 + 2/8 l / 10

- 0.0125

400

( 10 + 19 - 5 ) x 2

48

400

Multiplying or dividing same sign integers?

Same sign = positive answer

500

The problem was 20 - 5 x 2 + 3. My answer was 33. What did I do wrong?

I did not multiply first. The answer should be 13.

500

Why is it important to know order of operations? 

So, that everyone is solving math problems in the same way.

500

-7^3 + 3 x 4 - (8 ÷ 4)

-333

500

0.15 x ( 1/4 / 3/12 + 2) - 8.3


decimal and fraction

-7.85 and - 7 13/20


500

Give the integer rule and/or method used to solve, solve the equation.

1.) 9 - (- 6 +2)

2.) -1/7 + 6/9

3.) -0.25/ - 0.5

4.) 5/15 (-3/6)

1. Subtracting integers , KCC, 13

2. Adding different sign integers, 11/21

3. Dividing same sign integers, 0.5

4. Multiplying different sign integers, - 1/6