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

Question Types:

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

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

Question 2

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

Question 3

Every positive number is greater than zero

Question 4

\( -2 < 0 \)

Question 5

\( 3.98 \) and \( +3.98 \) are two ways of writing the same number.

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

If we draw a number line, we can see that to the right of zero are positive numbers, and to the left of zero are negative numbers:

Therefore, the answer is correct.

True.

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

If we draw a number line, we can see that the number minus 6 is located to the left of the number 2:

Therefore, the answer is not correct.

No

Every positive number is greater than zero

The answer is indeed correct, any positive number to the right of zero is inevitably greater than zero.

True

-2 < 0

Since every negative number is necessarily less than zero, the answer is indeed correct

True

$3.98$ and $+3.98$ are two ways of writing the same number.

Indeed, both forms are identical since a number without a sign will be positive, as in the case of 3.98

If there is a plus sign before the number, the number is necessarily positive, as in the case of +3.98

Therefore, the answer is correct.

True

Question 1

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

Question 2

\( -4>-3 \)

Question 3

\( 5 < -5 \)

Question 4

The minus sign can be omitted

Question 5

What is the distance between 0 and F?

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

The answer is incorrect because a negative number cannot be greater than a positive number:

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

Not true

-4>-3

The answer is incorrect because neative 3 is greater than negative 4:

-4 < -3

Not true

5 < -5

As per the fact that there cannot be a situation where a negative number is greater than a positive number, the answer is incorrect.

Not true

The minus sign can be omitted

The sign cannot be omitted as it determines whether the number will be negative or positive.

Not true

What is the distance between 0 and F?

Let's begin by marking F and 0 on the number line

We can thus determine that:

$F=0$

Therefore, the distance is 0 steps.

0

Question 1

What is the distance between A and K?

Question 2

What is the distance between C and H?

Question 3

What is the distance between D and I?

Question 4

What is the distance between D and K?

Question 5

What is the distance between F and B?

What is the distance between A and K?

One might think that because there are numbers on the axis that go into the negative domain, that the result must also negative.

However 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

What is the distance between C and H?

We first mark the letter C on the number line and then proceed towards the letter H:

Note that the distance between the two letters is 5 steps.

5

What is the distance between D and I?

Let's begin by marking the letter D on the number line and then proceeding towards the letter I:

Note that the distance between the two letters is 5 steps

5

What is the distance between D and K?

We first mark the letter D on the number line and then proceed towards the letter K:

Note that the distance between the two letters is 7 steps.

7

What is the distance between F and B?

One might think that as a consequence of the displacement on the axis being towards the negative domain, the result is also negative.

However it is important to keep in mind that here we are referring to the distance.

Distance can never be negative.

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

4