Understanding Integers
In grade 8, we move from adding and subtracting integers to completing multi-step operations involving multiplication and division of integers.
Providing a Context |
Round Table (PIG): WHY BOTHER 1) Use the chart paper to explain a situation where you would need to add or subtract
integers in REAL LIFE. Think of an example and draw it on the paper. 2) Use the chart paper to explain a situation where you could multiply or divide integers in REAL LIFE. Think of an example and draw it on the paper. Your drawings can be in cartoons, clipart or WHATEVER it takes to show your reasoning! You should also include the math! |
Using Models to Multiply Integers
Bankers Method: Think about multiplying integers like making deposits or withdrawals into a bank account.
Deposit = start with a positive number X = "of" Withdrawal = start with a negative number
Round Table: THINK ABOUT IT... When you deposit money INTO the bank, must you have an opening balance?
When you withdraw money FROM the bank, should there be money in your account?
Sign Rules for Multiplying & Dividing Integers
Integers with the SAME sign will always result in a POSITIVE answer
(-) x (-) = (+) (+) x (+) = (+) |
Integers with the OPPOSITE sign will always result in a NEGATIVE answer
(-) x (+) = (-) (+) x (-) = (-) |
Once you determine whether the answer is (+) or (-) you simply multiply or divide to find your answer!
Order of Operations
Brackets Exponents Division Multiplication Addition Subtraction
QUICKFACTS Remember: 2 expressions that appear to be in fractional form (an expression stacked on top of another) must be completed separately before dividing; you divide the solution for the top by the solution for the bottom. Take your time to complete each step INDIVIDUALLY so that you can pinpoint errors and ensure that you find the correct solution. It takes LESS time to do it CORRECT the long way than to keep starting over! |
Click on the image to review and practice the basic order of operations using whole numbers.
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Unit Project
REMEMBER This unit covers ALL operations with integers. Keep that in mind when completing the process for this project.