Axioms and negative numbers

In this lesson, we will practise negative number calculations, linking them to axioms like commutativity and associativity.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Choose the words that best fill in the gaps in order: We can use a known __________ to _________ other related facts.

1/6

Q2.Fill in the gap: Using the fact that (-7) x (-2) = 14 we can use the _____________ of multiplication to deduce that (-2) x (-7) = 14

2/6

Q3.Calculate the following: (-80) ÷ (-5)

3/6

Q4.Given that (-23) x (-14) = 322. Work out 322 ÷ (-14).

4/6

Q5.Given that (-23) x (-14) = 322. Work out (-322) ÷ 14.

5/6

Q6.Substitute n=-10 into n ÷ (-2)

6/6

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Choose the words that best fill in the gaps in order: We can use a known __________ to _________ other related facts.

1/6

Q2.Fill in the gap: Using the fact that (-7) x (-2) = 14 we can use the _____________ of multiplication to deduce that (-2) x (-7) = 14

2/6

Q3.Calculate the following: (-80) ÷ (-5)

3/6

Q4.Given that (-23) x (-14) = 322. Work out 322 ÷ (-14).

4/6

Q5.Given that (-23) x (-14) = 322. Work out (-322) ÷ 14.

5/6

Q6.Substitute n=-10 into n ÷ (-2)

6/6

Video

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Worksheet

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This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Axioms and Negative Numbers Quiz

Time to show off what you know by completing the questions below!

Q1.Fill in the gap: The axioms for positive numbers, that helped us to manipulate calculations, are also true for __________________ numbers.

1/5

Q2.Which description best matches the definition of commutativity?

2/5

Q3.What word do we use to describe the relationship: 6 x 7 = 3 x 7 + 2 x 7?

3/5

Q4.Work out (-5) x 3 + 205 x 3

4/5

Q5.Which calculation is equal to -5?

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Axioms and Negative Numbers Quiz

Time to show off what you know by completing the questions below!

Q1.Fill in the gap: The axioms for positive numbers, that helped us to manipulate calculations, are also true for __________________ numbers.

1/5

Q2.Which description best matches the definition of commutativity?

2/5

Q3.What word do we use to describe the relationship: 6 x 7 = 3 x 7 + 2 x 7?

3/5

Q4.Work out (-5) x 3 + 205 x 3

4/5

Q5.Which calculation is equal to -5?

5/5

Lesson summary: Axioms and negative numbers

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