Sign Rules for Integer Division
Sign rules for integer division is a Grade 6 math skill in Big Ideas Math Advanced 1, Chapter 11: Integers. The rules state that dividing two integers with the same sign always gives a positive quotient, while dividing two integers with different signs gives a negative quotient. These rules mirror the sign rules for integer multiplication.
Key Concepts
When dividing integers: If the signs are the same (both positive or both negative), the quotient is positive If the signs are different (one positive, one negative), the quotient is negative $\frac{\text{positive}}{\text{positive}} = \text{positive}$ and $\frac{\text{negative}}{\text{negative}} = \text{positive}$ $\frac{\text{positive}}{\text{negative}} = \text{negative}$ and $\frac{\text{negative}}{\text{positive}} = \text{negative}$.
Common Questions
What are the sign rules for dividing integers?
Two positives divided: positive result (12 / 3 = 4). Two negatives divided: positive result (-12 / -3 = 4). Positive divided by negative: negative result (12 / -3 = -4). Negative divided by positive: negative result (-12 / 3 = -4).
How do you remember the sign rules for integer division?
Same signs = positive quotient. Different signs = negative quotient. This rule is the same for both multiplication and division: same signs always give positive, opposite signs always give negative.
Do integer division sign rules apply to fractions too?
Yes. The sign rules apply to all division, including fractions. A negative numerator divided by a positive denominator gives a negative result, and two negatives divided give a positive.
Where are integer division sign rules taught in Big Ideas Math Advanced 1?
Sign rules for integer division are covered in Chapter 11: Integers of Big Ideas Math Advanced 1, the Grade 6 math textbook.