The Number Line with Signed Numbers - Examples, Exercises and Solutions

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.

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.

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.

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.

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

Note that the distance between the two letters is 6 steps

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.

We first mark the letter I on the number line and then proceed towards the letter E:

Note that the distance between the two letters is 4 steps.

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

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

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

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

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

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

-4 < -3

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

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

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.