Songs for Integers
(Sing to the tune of “Row, Row, Row Your Boat”
Adding Same Signs
Ex 1:
Ex 2:
3 + 4 = 7
-2 + -8 = -10
Addition
Adding Different Signs
Ex 1:
Same sign add and keep
Ex 2:
-5 + 2 = -3
10 + -4 = 6
But different signs subtract,
Take the sign of the higher number
Subtracting
Same Sign & Different Sign
Ex 1:
-5 - 7 = ?

Altered version of the original.
-5 + - 7 = - 12
Then it will be exact.
Subtraction
You must rewrite the problem
When starting with subtract,
Subtracting
Same Sign & Different Sign
Ex 2:
3 – (-7) = ?

Altered version of the original.
3 + (+7) = 10
You must really ADD the OPPOSITE
In order to do that.
Multiplying
&
Dividing
Same Signs
Ex 1:
Ex 2:
Ex 3:
Ex 4:
6  5 = 30
-2  -7 = 14
30 ÷ 2 = 15
-40 ÷ -10 = 4
Multiplication & Divison
Multiplying
&
Dividing
Different Signs
When multiplying signs the same
The answer’s positive
But when the signs ARE NOT the same,
Ex 1:
The answer’s negative.
Ex 3:
Ex 2:
Ex 4:
- 4  10 = - 40
3  -7 = - 21
-18 ÷ 2 = -9
15 ÷ -3 = -5
+
_
_
Multiplication & Division Triangle
A6
Textbook Wording for Integer Rules
Adding Integers with Like Signs:
Find the SUM of the absolute values and keep the SAME sign.
Ex 1:
Ex 2:
3 + 4 = 7
-2 + -8 = -10
Adding Integers with Unlike Signs:
Find the DIFFERENCE between the absolute values.
Answer gets the sign of the number with greater absolute value.
Ex 1:
Ex 2:
-5 + 2 = -3
10 + -4 = 6
Subtracting Integers:
ADD THE OPPOSITE (additive inverse).
You MUST REWRITE to an addition problem. Then, use addition rules.
Ex 1:
-5 - 7 = ?

Ex 2:
Altered version of the original.
3 – (-7) = ?

Altered version of the original.
-5 + - 7 = - 12
3 + (+7) = 10
Multiplying & Dividing Integers with Like Signs:


Ex 1:
Ex 3:
LIKE SIGNS: Multiply the absolute values. The product is positive.
LIKE SIGNS: Divide the absolute values. The quotient is positive.
6  5 = 30
30 ÷ 2 = 15
Ex 2:
Ex 4:
-2  -7 = 14
-40 ÷ -10 = 4
Multiplying & Dividing Integers with Unlike Signs:


Ex 1:
Ex 3:
UNLIKE SIGNS: Multiply the absolute values. The product is negative.
UNLIKE SIGNS: Divide the absolute values. The quotient is negative.
- 4  10 = - 40
-18 ÷ 2 = -9
Ex 2:
Ex 4:
3  -7 = - 21
15 ÷ -3 = -5
A7