Algorithmic Rules for Adding Integers
Algorithmic rules for adding integers is a Grade 6 math skill in Big Ideas Math Advanced 1, Chapter 11: Integers. Students learn two rules: when adding integers with the same sign, add the absolute values and keep the sign; when adding integers with different signs, subtract the lesser absolute value from the greater and use the sign of the integer with the greater absolute value.
Key Concepts
Same Signs: Add the absolute values and keep the common sign. Different Signs: Subtract the smaller absolute value from the larger absolute value and use the sign of the integer with the greater absolute value.
Common Questions
What are the rules for adding integers?
Rule 1 (same signs): Add the absolute values and keep the common sign. For example, (-4) + (-7) = -(4+7) = -11. Rule 2 (different signs): Subtract the lesser absolute value from the greater, and use the sign of the integer with the larger absolute value.
How do you add a positive and negative integer?
Find the absolute values of both numbers. Subtract the smaller from the larger. Give the result the sign of the number with the larger absolute value. For example, (-8) + 3: |8| - |3| = 5, and -8 has the larger absolute value, so the answer is -5.
What is an absolute value?
The absolute value of a number is its distance from zero on the number line, always non-negative. |5| = 5 and |-5| = 5. Absolute value is used in the integer addition rules to work with magnitudes before applying signs.
Where are integer addition rules taught in Big Ideas Math Advanced 1?
Algorithmic rules for adding integers are covered in Chapter 11: Integers of Big Ideas Math Advanced 1, the Grade 6 math textbook.