Week 3  (Chip Models)

Note: While using the chip model in math, the black (colored circle) chip is positive and red (open circle) is negative.

Addition on Integers
4 + (-7) = ?

Step 1: The first step to do fill the first circle with the first number.  In this case you would fill in the first circle with a positive 4.  You would then fill the second circle with a negative 7 since that is the second number in the equation.

Step 2: You would then combine the two circle together into one, which mixes all the chips together.

Step 3: Lastly, you need to pair off the positive chips with the negative chips.  In this case there are 3 negative chips left which means the answer is -3.

Subtraction of Integers:
5 - (-2) =?

Step 1:  For subtraction, you first need to fill the first circle with the first number in the set.  

Step 2:  Since there is two negative chips, pair them with two positive chips to make the zeros.

Step 3:  You then continue to the second number that is in the equation that says to take away -2 chips.  After you take those away, count how much you have left which is going to be a positive 7.

Multiplication of Integers

4 x (-2) = ?

Step 1:  For multiplication, you first need to know how many sets of what number you are doing.  In this case, you are doing 4 sets of -2.  

Step 2:  You then combine the chips together into one, and that's your answer.

Division of Integers

-8 / 2 = ?

Step 1:  In division, you first need to put the first number of chips into the circle.

Step 2:  Then divide that number by your second number so there is an equal amount of chips into each circle.  

Step 3:  How much chips is in each circle is your answer.  In this case the answer is 4.

Expanded Notation

(When breaking up a number, we usually break it up by each digit.  Any number after the first digit should be zero(s).  You can check your work by adding all the numbers together and you should end up with your original number.)

(We can also break up multiplication problems)

(Scientific Notation can also be a different way to show the result of the broken down numbers)

Number Bonds - Division

(Decomposing a number to make it more friendly)