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### Student Question

Hello, I don't really understand when my teacher refers to relative integers and their operations. Can you shed some light? thank you!

Mathematics

## Explanations (1)

• Explanation from Alloprof

Explanation from Alloprof

This Explanation was submitted by a member of the Alloprof team.

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Team Alloprof • 1yr.

Hello to you :)

In mathematics, relative numbers are whole numbers (that is to say without decimals) preceded by a positive or negative sign, like these following : -10, 5, 46, -193, etc.

Little reminder : if no sign is specified, it implies that the number is positive (positive sign)!

Their basic operations are still similar to those of natural numbers, but not quite.

If we are with a + and + or - and -, we will add the numbers together. For example:

20 + + 6 = 26

20- -6 = 20 + 6 = 26

If we are with a - and +, we will subtract the numbers together and the sum takes the sign of the largest number in the operation. For example:

30 + -50 = 30-50 = -20

To add two positive relative numbers (+, +), we add the two numbers whose sum always give a positive whole number.

To add two negative relative numbers, (-, -), we add the two numbers, but this time their sum will give a negative whole number.

To add relative numbers with different signs (+, -) / (-, +), we proceed with number sense. The sum will be positive or negative depending on the sign of the number that is furthest from 0 on the number line. In other words, the sign of the sum will take the sign of the larger digit or number in the operation.

Example: You want to add -25 + 5. There are two different signs. Since 25 is greater than 5, the sum will be a negative number and we will subtract 5 from 25. The final answer is -20.

I hope I’ve helped you! If you still have difficulty, feel free to ask us more questions in the Help Zone! :)