Dividing Integers
Part of the Numbers & Operations section of Coddy's Pre-Algebra journey. Lesson 31 of 60.
Division follows the same sign rules as multiplication, because every division can be checked by multiplying back. 20 / (-4) asks: what times -4 makes 20? The answer is -5, since (-5) × (-4) is 20. Different signs give a negative quotient.
In the same way, -24 / (-6) is 4, because 4 × (-6) is -24. Same signs give a positive quotient. On the board a division is a fraction bar, so the sign of the top and the sign of the bottom sit right where you can compare them.
In a longer line, work out each fraction first, then combine. In 20 / (-4) - 14 / (-2) the two quotients are -5 and -7, and taking away -7 adds 7, so the next line is -5 + 7, and then 2.
Challenge
Work out 18 / (-3) - 35 / (-7). Work out both fractions first, then combine.
Try it yourself
Simplify the expression
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Numbers & Operations
1Working on the Board
Your First AnswerType the Next LineOne Line at a TimeDots and BarsFriendly ProductsRecap: Board Work4Adding Integers
Adding Two NegativesDifferent SignsZero PairsAdding Several IntegersRecap: Adding Integers2Order of Operations
Multiply Before AddingLeft to RightParentheses FirstBrackets Inside BracketsThe Fraction Bar GroupsRecap: Order of Operations5Subtracting Integers
Add the OppositeSubtracting a NegativePlus and Minus in a RowDistance Between NumbersRecap: Subtracting Integers6Multiplying and Dividing
Negative Times PositiveTwo NegativesCounting the NegativesDividing IntegersZero in DivisionRecap: Multiply and Divide