Maths

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Axioms and negative numbers

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

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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

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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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This was the final lesson in the unit Positive and negative numbers.

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