The real line looks like this: a horizontal line in which small equidistant vertical lines are inserted.

The real line looks like this: a horizontal line in which small equidistant vertical lines are inserted.

**Characteristics of the number line:**

- Below each vertical line a whole number is inserted in ascending order from left to right.
- The distance between two consecutive numbers is called a "segment".

**The operations of addition and subtraction can be seen as a horizontal movement on the number line.**

- When adding, we move to the right.
- When subtracting, we move to the left.

Question 1

What is the distance between F and B?

Question 2

What is the distance between A and K?

Question 3

All negative numbers appear on the number line to the left of the number 0.

Question 4

\( -2 < 0 \)

Question 5

\( -3=-3 \)

What is the distance between F and B?

It is true that because the displacement on the axis is towards the negative domain, one might think that the result is also negative.

But it is important to keep in mind that here we are asking about the distance.

Distance can never be negative.

Even if the displacement is towards the negative domain, the distance is an existing value.

4

What is the distance between A and K?

It is true that because there are numbers on the axis that go into the negative domain, one might think that the result is also negative.

But it is important to keep in mind that here we are asking about distance.

Distance can never be negative.

Even if we move towards or from the domain of negativity, distance is an existing value (absolute value).

We can think of it as if we were counting the number of steps, and it doesn't matter if we start from five or minus five, both are 5 steps away from zero.

10

All negative numbers appear on the number line to the left of the number 0.

True.

-2 < 0

True

$-3=-3$

True

Question 1

\( 4\frac{1}{2} < -5 \)

Question 2

\( -4>-3 \)

Question 3

\( 5 < -5 \)

Question 4

Does the number \( -6 \) appear on the number line to the right of number \( 2\text{?} \)

Question 5

What is the distance between D and I?

4\frac{1}{2} < -5

Not true

-4>-3

Not true

5 < -5

Not true

Does the number $-6$ appear on the number line to the right of number $2\text{?}$

No

What is the distance between D and I?

5

Question 1

What is the distance between J and D?

Question 2

What is the distance between 0 and F?

Question 3

What is the distance between D and K?

Question 4

What is the distance between I and E?

Question 5

What is the distance between C and H?

What is the distance between J and D?

6

What is the distance between 0 and F?

0

What is the distance between D and K?