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
Related 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?
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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
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