Dividing integers

Dividing integers

In this section, we will keep working on dividing integers. We will learn how to read and represent division statements on a number line. We will then practice more integer divisions with actual numbers and word problems.

Lessons

In this lesson, we will learn:

  • Understanding Division Using a Number Line
  • Solving Division Statements Using a Number Line
  • Division Statements With Integer Quotients
  • Division Statements With Non-Integer Quotients
  • Word Problems of Dividing Integers

  • Recurring/ repeating decimals: decimal numbers whose digits repeat forever.
  • For the recurring decimals, we put either a bar or dots above the recurring parts.
  • Introduction
    Introduction to division statements with non-integer quotients

  • 1.
    Understanding Division Using a Number Line
    What are the two division statements that each diagram represents?
    a)

    Integer division on number line

    b)

    Dividing integers using number line


  • 2.
    Solving Division Statements Using a Number Line
    Use a number line to find each quotient.
    a)
    (+10)÷(+5)

    b)
    (+8)÷(-2)

    c)
    (-12)÷(+4)

    d)
    (-9)÷(-3)


  • 3.
    Division Statements With Integer Quotients
    Solve.
    a)
    (+36)÷(-6)

    b)
    (-45)÷(+15)

    c)
    (-28)÷(-4)

    d)
    0÷(-16)


  • 4.
    Peter finished a 45 km long cycling trail. He first cycled for 3 hours and then, he took a break. Afterwards Peter cycled for another 2 hours to finish the trail. What was his cycling rate per hour? Were there any assumptions?