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1.01 Odd and even numbers

Lesson

Are you ready?

Can you identify numbers as odd or even?

Is $115$115 odd or even?

  1. Even

    A

    Odd

    B

    Even

    A

    Odd

    B

Even numbers can be divided by $2$2 evenly. This means that we can equally share the number and have nothing left over. Odd numbers cannot be divided by $2$2 evenly; they have a left over of $1$1.

Learn

When we add and subtract odd and even numbers, we can work out whether our answer will be odd or even. Let's learn how.

Apply

Question 1

The following questions are all about adding two odd numbers together.

  1. What is $5+7$5+7?

  2. What is $7+15$7+15?

  3. What is $15+5$15+5?

  4. Were the answers to the last three questions odd or even?

    Even

    A

    Odd

    B

    Even

    A

    Odd

    B
  5. This happens all of the time. In fact, every time we add two odd numbers together, the answer is always even!

    So, which of the following pairs of numbers will be even when added together?

    Select all correct answers.

    $73+85$73+85

    A

    $99+86$99+86

    B

    $73+99$73+99

    C

    $85+86$85+86

    D

    $73+85$73+85

    A

    $99+86$99+86

    B

    $73+99$73+99

    C

    $85+86$85+86

    D

Question 2

The following questions are all about adding two even numbers together.

  1. What is $4+6$4+6?

  2. What is $6+10$6+10?

  3. What is $10+4$10+4?

  4. Were the answers to the last three questions odd or even?

    Even

    A

    Odd

    B

    Even

    A

    Odd

    B
  5. This happens all of the time. In fact, every time we add two even numbers together, the answer is always even!

    So, which of the following pairs of numbers will be even when added together?

    Select all correct answers.

    $38+24$38+24

    A

    $38+22$38+22

    B

    $24+71$24+71

    C

    $71+22$71+22

    D

    $38+24$38+24

    A

    $38+22$38+22

    B

    $24+71$24+71

    C

    $71+22$71+22

    D

 

Remember!

Two even numbers added, or subtracted, will equal an even number.

Two odd numbers added, or subtracted, will equal an even number.

Adding, or subtracting, an odd and even number will equal an odd number.

Outcomes

VCMNA151

Investigate and use the properties of odd and even numbers

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