# Axioms and negative numbers

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

#### Unit quizzes are being retired in August 2023

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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

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Climb stairs

On the spot:
Chair yoga