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.
Basic Concepts:Determining common multiples, Multiplying integers, Understanding integer division,
Basic Concepts:Multiplying and dividing monomials , Solving linear equations using multiplication and division, Solving one-step linear inequalities,

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

Notes:
  • 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.
    Division Statements With Non-Integer Quotients
    Solve.
    a)
    (-36)÷(+8)

    b)
    (-100)÷(-3)

    c)
    (+47)÷(+6)

    d)
    (+34)÷(-7)

  • 5.
    Word Problems of Dividing Integers
    Katie participated in a track competition. If her average sprinting speed is 8 m/s, how long does it take for her to finish an 100 m sprint?
  • 6.
    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?
Do better in math today
Get Started Now
3.
Multiplying and Dividing Integers
3.1
Understanding integer multiplication
3.2
Multiplying integers
3.3
Understanding integer division
3.4
Dividing integers
3.5
Applications of integer operations
NZ Year 9 Maths
Don't just watch, practice makes perfect