Positive and negative numbers and zero

🏆Practice the number line with signed numbers

Positive, negative numbers and zero are a fundamental topic in algebra, it is very easy to understand it by drawing a number line in which zero is located in the middle.

  • Zero is our reference point.
  • The positive numbers are the same numbers we use to this day and are located to the right of zero. Now that we are beginning to study the subject of positive and negative numbers, we will see a sign before the positive ones, the plus sign (+), to make it clear that it is a positive number, but, later, after we understand the subject well, we will suppress it.
  • Negative numbers are those that are located on the left side of zero and have a minus sign (-). Unlike positive numbers, the minus sign will always appear next to negative numbers to indicate that they are actually negative numbers.

We will illustrate this on the number line:

A1 - Positive and negative numbers and zero

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Test yourself on the number line with signed numbers!

einstein

Fill in the corresponding sign

D ? J

AAA-6-6-6BBB-5-5-5CCC-4-4-4DDD-3-3-3EEE-2-2-2FFF-1-1-1GGG000HHH111III222JJJ333KKK444LLL555MMM666NNN777

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If you are interested in this article you may also be interested in the following articles:

Positive numbers, negative numbers and zero

The real line

Opposite numbers

Absolute Value

Elimination of parentheses in real numbers

Addition and subtraction of real numbers

Multiplication and division of real numbers

On the Tutorela blog you will find a variety of articles on mathematics.


Ejemplos y ejercicios con soluciones de números positivos, negativos y el cero

Exercise #1

What is the distance between 0 and F?

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Video Solution

Step-by-Step Solution

We mark F and 0 on the number line

Let's note that:

F=0 F=0

Therefore, the distance is 0 steps

Answer

0

Exercise #2

What is the distance between C and H?

AAA-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444

Video Solution

Step-by-Step Solution

We'll mark C on the number line and move towards H:

AAA-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444

Note that the distance is 5 steps.

Answer

5

Exercise #3

What is the distance between F and B?

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Video Solution

Step-by-Step Solution

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.

Answer

4

Exercise #4

What is the distance between D and K?

AAA-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444

Video Solution

Step-by-Step Solution

We'll mark D on the number line and move towards K:

AAA-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555KKK

Note that the distance is 7 steps

Answer

7

Exercise #5

What is the distance between J and D?

AAA-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444

Video Solution

Step-by-Step Solution

We'll mark J on the number line and move towards D:

AAA-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555KKK

Note that the distance is 6 steps

Answer

6

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