Add and subtract three or more integers

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

  1. Group Integers with the Same Sign: If possible, group together integers that have the same sign.
  2. Add or Subtract Within Groups: Add or subtract the integers within each group.
  3. 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.

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

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

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!🖊️