Examples, videos, and solutions to help Grade 7 students recognize that division is the reverse process of multiplication, and that integers can be divided provided the divisor is not zero.
Exercise 1: Recalling the Relationship Between Multiplication and Division
a. List examples of division problems that produced a quotient that is a negative number.
b. If the quotient is a negative number, what must be true about the signs of the dividend and divisor?
c. List your examples of division problems that produced a quotient that is a positive number.
d. If the quotient is a positive number, what must be true about the signs of the dividend and divisor?
Rules for Dividing Two Integers:
Exercise 2: Is the Quotient of Two Integers Always an Integer
Is the quotient of two integers always an integer? Use the work space below to create quotients of integers. Answer the question and use examples or a counterexample to support your claim.
Conclusion: Every quotient of two integers is always a rational number, but not always an integer.
Exercise 3: Different Representation of the Same Quotient
Are the answers to the three quotients below the same or different? Why or why not?
a) -14 ÷ 7
b) 14 ÷ -7
c) -(14 ÷ 7)
Exercise 4: Fact Fluency—Integer Division
Lesson 12 Problem Set
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
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