INTEGERS
Operation Guidelines
Michele Hall 2021
,Name ____________________________________________ Period ____________________
Learn to Add Integers Score ______________ Date ______________________
Learning to add with integers is easy when you keep these four basic rules in mind:
Rule 1) When adding an integer and its opposite, the answer will always be zero.
Examples: 1 + -1 = 0 44 + -44 = 0
-12 + 12 = 0 -3 + 3 = 0
Rule 2) When adding two positive integers, your answer will always be positive.
Examples: 12 + 12 = 24 3 + 9 = 12
Rule 3) When adding two negative integers, your answer will always be negative.
Examples: -4 + -8 = -12 -5 + -10 = -15
Rule 4) When adding two integers that have different signs, take the absolute value of
each number and subtract the smaller absolute value from the larger absolute
value. Keep the sign of the larger absolute value and apply it to your answer.
Example: -5 + 3 = ____ Your turn: -7 + 5 = ____
Your absolute values are 5 and 3. Absolute values: ____ , ____
Subtract the 3 from the 5. Subtract: _____
5-3=2 - _____
Keep the negative sign from the 5. Answer= _____
Answer= -2 (Keep the sign of the larger absolute value.)
Directions: Choose the correct rule for each of the following expressions- and solve!
Write which rule you used to solve each expression.
Example: -7 + 9 = 2 2 + -2 = 0 8 + 8 = 16 -4 + -4 = -8
Rule 4 Rule 1 Rule 2 Rule 3
*Your turn:
20 + -20 = _____ 15 + -5 = _____ -4 + -8 = _____ 12 + 8 = _____
Rule: _____ Rule: _____ Rule: _____ Rule: _____
Michele Hall 2021
,Name ______________________________________________________ Period __________
Learn to Subtract Integers Score __________ Date ___________
Since adding integers is sometimes easier than subtracting them, we use the following
steps to change our subtraction problem into an addition problem. We then use the
rules for adding integers to arrive at our answer.
When subtracting integers:
Step 1) Keep the first number the same.
Step 2) Change the subtraction sign to an addition sign.
Step 3) Change the second number into its opposite.
Step 4) You now have an addition problem. Follow the rules for adding integers.
Let’s practice with a simple subtraction problem:
-9 - 8 = _____
Step 1) Keep the -9 the same.
Step 2) Change the subtraction sign(-) to an addition sign (+).
Step 3) Change the positive 8 into its opposite, which is negative 8.
Step 4) Find the correct rule for adding integers that applies to your problem, and
solve.
After following the steps above, our problem should now look like this: -9 + (-8) =
We changed the subtraction problem into an addition problem.
We now return to our Addition Rules to solve the equation.
Since our new problem involves adding two integers with the same sign, we use the
following addition rule: *When adding two integers with like signs, add and keep the same sign.
Answer: -9 + (-8) = -17
Your turn: -3 - 1 = _____ 12 - (-3) = _____
Michele Hall 2021
, Name ______________________________________________________ Period __________
Learn to Multiply Integers Score __________ Date ___________
There are two simple rules to follow when multiplying integers.
Rule 1:
When multiplying two integers that have the same sign, whether both integers are
positive or both are negative, your answer will be positive.
Examples: - 2 x (-2) = 4 9 x 9 = 81
+ +
Your turn: -3 x (-4) = _______ 5 x 8 = _______
Rule 2:
When multiplying two integers with unlike signs, where one number is positive and
the other is negative, your answer will always be negative.
+
Examples: (-8) x 2 = -16 5 x (-5) = -25
+
Your turn: ( - 24) x 2 = _______ (-1) x 10 = _______
Michele Hall 2021
Operation Guidelines
Michele Hall 2021
,Name ____________________________________________ Period ____________________
Learn to Add Integers Score ______________ Date ______________________
Learning to add with integers is easy when you keep these four basic rules in mind:
Rule 1) When adding an integer and its opposite, the answer will always be zero.
Examples: 1 + -1 = 0 44 + -44 = 0
-12 + 12 = 0 -3 + 3 = 0
Rule 2) When adding two positive integers, your answer will always be positive.
Examples: 12 + 12 = 24 3 + 9 = 12
Rule 3) When adding two negative integers, your answer will always be negative.
Examples: -4 + -8 = -12 -5 + -10 = -15
Rule 4) When adding two integers that have different signs, take the absolute value of
each number and subtract the smaller absolute value from the larger absolute
value. Keep the sign of the larger absolute value and apply it to your answer.
Example: -5 + 3 = ____ Your turn: -7 + 5 = ____
Your absolute values are 5 and 3. Absolute values: ____ , ____
Subtract the 3 from the 5. Subtract: _____
5-3=2 - _____
Keep the negative sign from the 5. Answer= _____
Answer= -2 (Keep the sign of the larger absolute value.)
Directions: Choose the correct rule for each of the following expressions- and solve!
Write which rule you used to solve each expression.
Example: -7 + 9 = 2 2 + -2 = 0 8 + 8 = 16 -4 + -4 = -8
Rule 4 Rule 1 Rule 2 Rule 3
*Your turn:
20 + -20 = _____ 15 + -5 = _____ -4 + -8 = _____ 12 + 8 = _____
Rule: _____ Rule: _____ Rule: _____ Rule: _____
Michele Hall 2021
,Name ______________________________________________________ Period __________
Learn to Subtract Integers Score __________ Date ___________
Since adding integers is sometimes easier than subtracting them, we use the following
steps to change our subtraction problem into an addition problem. We then use the
rules for adding integers to arrive at our answer.
When subtracting integers:
Step 1) Keep the first number the same.
Step 2) Change the subtraction sign to an addition sign.
Step 3) Change the second number into its opposite.
Step 4) You now have an addition problem. Follow the rules for adding integers.
Let’s practice with a simple subtraction problem:
-9 - 8 = _____
Step 1) Keep the -9 the same.
Step 2) Change the subtraction sign(-) to an addition sign (+).
Step 3) Change the positive 8 into its opposite, which is negative 8.
Step 4) Find the correct rule for adding integers that applies to your problem, and
solve.
After following the steps above, our problem should now look like this: -9 + (-8) =
We changed the subtraction problem into an addition problem.
We now return to our Addition Rules to solve the equation.
Since our new problem involves adding two integers with the same sign, we use the
following addition rule: *When adding two integers with like signs, add and keep the same sign.
Answer: -9 + (-8) = -17
Your turn: -3 - 1 = _____ 12 - (-3) = _____
Michele Hall 2021
, Name ______________________________________________________ Period __________
Learn to Multiply Integers Score __________ Date ___________
There are two simple rules to follow when multiplying integers.
Rule 1:
When multiplying two integers that have the same sign, whether both integers are
positive or both are negative, your answer will be positive.
Examples: - 2 x (-2) = 4 9 x 9 = 81
+ +
Your turn: -3 x (-4) = _______ 5 x 8 = _______
Rule 2:
When multiplying two integers with unlike signs, where one number is positive and
the other is negative, your answer will always be negative.
+
Examples: (-8) x 2 = -16 5 x (-5) = -25
+
Your turn: ( - 24) x 2 = _______ (-1) x 10 = _______
Michele Hall 2021
