The Number Line - Examples, Exercises and Solutions

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

Real number line

A1 - Real number line

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.

Suggested Topics to Practice in Advance

  1. Positive and negative numbers and zero
  2. Opposite numbers
  3. Elimination of Parentheses in Real Numbers

Practice The Number Line

examples with solutions for the number line

Exercise #1

What is the distance between F and B?

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Video Solution

Step-by-Step Solution

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.

Answer

4

Exercise #2

What is the distance between A and K?

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Video Solution

Step-by-Step Solution

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.

Answer

10

Exercise #3

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

Video Solution

Answer

True.

Exercise #4

-2 < 0

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Video Solution

Answer

True

Exercise #5

3=3 -3=-3

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Video Solution

Answer

True

examples with solutions for the number line

Exercise #1

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

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Video Solution

Answer

Not true

Exercise #2

-4>-3

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Video Solution

Answer

Not true

Exercise #3

5 < -5

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Video Solution

Answer

Not true

Exercise #4

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

Video Solution

Answer

No

Exercise #5

What is the distance between D and I?

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Video Solution

Answer

5

examples with solutions for the number line

Exercise #1

What is the distance between J and D?

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Video Solution

Answer

6

Exercise #2

What is the distance between 0 and F?

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Video Solution

Answer

0

Exercise #3

What is the distance between D and K?

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