Add and subtract three or more integers
key notes:
Understanding Integers
- Integers: Integers are whole numbers that can be positive, negative, or zero.
- Positive Integers: Integers greater than zero, represented by numbers without a minus sign (e.g., 1, 2, 3).
- Negative Integers: Integers less than zero, represented by numbers with a minus sign (e.g., -1, -2, -3).
- Zero: The integer that is neither positive nor negative.
Order of Operations
- PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Adding and Subtracting Three or More Integers
- Group Integers with the Same Sign: If possible, group together integers that have the same sign.
- Add or Subtract Within Groups: Add or subtract the integers within each group.
- Combine Results: Combine the results from each group.
Examples:
- Adding: 3 + (-5) + 7
- Group integers with the same sign: (3 + 7) + (-5)
- Add within groups: 10 + (-5)
- Combine results: 5
- Subtracting: 8 – 2 – (-4)
- Rewrite subtraction as addition: 8 + (-2) + 4
- Group integers with the same sign: (8 + 4) + (-2)
- Add within groups: 12 + (-2)
- Combine results: 10
Key Points to Remember:
- You can add or subtract integers in any order.
- Grouping integers with the same sign can make calculations easier.
- Always follow the order of operations (PEMDAS).
- Practice with different combinations of integers to improve your skills.
Learn with an example
➡️ Evaluate:
-5 − 2 − 2
Step 1: Multiply and divide from left to right.
There are no multiplication or division signs. Go on to step 2.
Step 2: Add and subtract from left to right.
-5 − 2 − 2 -7 − 2 -7 − 2 -9 |
Solution:
-5 − 2 − 2 = -9 |
➡️ Evaluate:
-7 − (-3) + 2
step 1: Multiply and divide from left to right.
There are no multiplication or division signs. Go on to step 2.
Step 2: Add and subtract from left to right.
-7 − (-3) + 2 -4 + 2 -4 + 2 -2 |
Solution:
-7 − (-3) + 2 = -2 |
➡️ Evaluate:
8 + –3 − 2
Step 1: Multiply and divide from left to right.
There are no multiplication or division signs. Go on to step 2.
Step 2: Add and subtract from left to right.
8 + –3 − 2
5 − 2
5 − 2
3
Solution:
8 + –3 − 2 = 3
Let’s practice!🖊️