Question

Give an example of this when adding two rationalnumbers with different signs and provide the product.

Answer 1

`\begin{gathered} (4)/(5)+-(8)/(3)=-(28)/(15) \\ (4)/(5)\cdot-(8)/(3)=-(32)/(15) \end{gathered}`

Explanation:

Rational numbers are all numbers that can be expressed as a fraction, that is, as the quotient of two whole numbers.

Therefore, an example would be:

`\begin{gathered} (4)/(5)\text{ and - }(8)/(3) \\ \text{adding} \\ (4)/(5)+-(8)/(3)=(4)/(5)-(8)/(3) \\ (4)/(5)-(8)/(3)=(4\cdot3-5\cdot8)/(5\cdot3)=(12-40)/(15)=-(28)/(15) \\ \text{ product} \\ (4)/(5)\cdot-(8)/(3)=-(4\cdot8)/(5\cdot3)=-(32)/(15) \end{gathered}`