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!

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

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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

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

Video Solution

Step-by-Step Solution

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:

-4-4-4555-3-3-3-2-2-2-1-1-1000111222333444

Therefore, the answer is correct.

Answer

True.

Exercise #2

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

Video Solution

Step-by-Step Solution

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


-4-4-4555-3-3-3-2-2-2-1-1-1000111222333444-5-5-5-6-6-6Therefore, the answer is not correct.

Answer

No

Exercise #3

Every positive number is greater than zero

Step-by-Step Solution

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

Answer

True

Exercise #4

-2 < 0

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

Video Solution

Step-by-Step Solution

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

Answer

True

Exercise #5

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

Step-by-Step Solution

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.

Answer

True

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