Transcript Step 2 - Houston ISD

STAAR REVIEW
ADDING / SUBTRACTING
INTEGERS
GETTING THE IDEA
EXAMPLE 1
Add -3 + 5
Strategy: Use a number line to add the integers.
Step 1: Begin at 0 on the number line. Move 3 units in the negative
direction to locate -3.
Step 2: From -3, move 5 units in the positive direction
Step 3: Locate the point on the number line that represents the sum. The
result is a point at +2.
Solution: -3 + 5 = 2
RULES FOR ADDING
You can also use the signs of integers to help you add them. The table shows the
rules for adding integers based on their signs.
Rules for Adding Integers
Signs
Rule
Both Positive 
Add the numbers. The sum is positive. 
Both Negative 
Add the absolute values. The sum is negative. 
One Positive , one Negative 
Subtract the smaller absolute value from the larger
absolute value. The sum has the sign of the integer
with the larger absolute value.  OR 
EXAMPLE 2
Add -83 + 57
Strategy: Use rules for adding integers.
Step 1: Examine the signs of the numbers. (The signs have different
signs.)
Step 2: Find the absolute values of the integers. |-83| = 83, |57| = 57
Step 3: Subtract the smaller absolute value from the larger absolute
value.
(83 - 57 = 26)
Step 4: Take the sign of the integer with the larger absolute value.
83> 57, so -83 has a larger absolute value compared to 57. The sign
of the sum is negative.
Solution: -83 + 57 = -26
EXAMPLE 3
The table shows the changes in Michael’s checking account after two
transitions. What is the net change in his checking account balance?
Date
Transaction
Debit / Credit ($)
4/12
Check # 221
-64
4/16
ATM withdrawal
-25
Strategy: Use rules for adding integers to find -64 + (-25)
Step 1: Examine the signs of the numbers. (The integers have the same
sign. They are both negative.)
Step 2: Find the absolute values of the integers. |-64| = 64, |-25| = 25
Step 3: Add the absolute values.
(64 + 25 = 89)
Step 4: Place a negative sign in front of the sum.
-64 + (-25) = -89
Solution: The net change in Michael’s checking account balance is -89
dollars.
EXAMPLE 4
The Greyhounds football team lost 7 yards on their first series of plays and
gained 34 yards on their second series. What were the net yards gained or
lost after the first two series of plays?
Strategy: Use rules for adding integers to find -7 + 34
Step 1: Examine the signs of the numbers. (The integers have different signs.)
Step 2: Find the absolute values of the integers. |-7| = 7, |34| = 34
Step 3: Subtract the smaller absolute value from the larger absolute value.
(34 – 7 = 27)
Step 4: Take the sign of the integer with the larger absolute value.
34> 7, so 34 has a larger absolute value compared to -7. The sign of the sum
is positive.
Solution: The net change in yards for the first 2 series was positive 27 yards.
SUBTRACTING INTEGERS
Rule for subtracting integers:
To subtract an integer, add it’s opposite. Then follow rules for adding integers.
Example: Subtract 4 – 6
Strategy: Use integer rules to subtract integers.
Step 1: Rewrite the problem by adding the opposite. (add a line and change the
sign)
4 – 6 = 4 + (-6)
Step 2: Examine the signs of the numbers. (The integers have different signs.)
Step 3: Find the absolute values of the integers. |4| = 4, |-6| = 6
Step 4: Subtract the smaller absolute value from the larger absolute value.
(6 - 4 = 2)
Step 5: Take the sign of the integer with the larger absolute value.
6> 4, so -6 has a larger absolute value compared to 4. The sign of the sum is
negative.
Solution: 4 – 6 = -2.