Rational numbers are numbers that can be represented as a fraction of two integers.
The signs of the division of rational numbers and integers are the same.
Take for instance, the following integer divisions
[tex]\mathbf{4 \div 2 = 2}[/tex]
[tex]\mathbf{4 \div -2 = -2}[/tex]
[tex]\mathbf{-4 \div -2 = 2}[/tex]
[tex]\mathbf{-4 \div 2 = -2}[/tex]
Notice that
- When the integers have the same sign, the result of the division is positive.
- When the integers have the different signs, the result of the division is negative.
The above highlights are the same for rational numbers.
Take for instance, the following divisions of rational numbers
[tex]\mathbf{\frac{4}{5} \div \frac{1}{2} = \frac{8}{5}}[/tex]
[tex]\mathbf{\frac{4}{5} \div -\frac{1}{2} = -\frac{8}{5}}[/tex]
[tex]\mathbf{-\frac{4}{5} \div -\frac{1}{2} = \frac{8}{5}}[/tex]
[tex]\mathbf{-\frac{4}{5} \div \frac{1}{2} = -\frac{8}{5}}[/tex]
Notice the similarities in the signs of the divisions of rational numbers, and that of integers.
Hence, the signs of the division of rational numbers and integers are the same.
Read more about rational numbers and integers at:
https://brainly.com/question/13212492
