Question

Writing Justify the fact that $5-6=-1$. Give an argument similar to the one in the middle of page 34 for the difference $5-\left(-2\right)$.

Short answer

It is justified the fact that $5-6=-1$.

Step-by-step solution

Step-1 – Apply the concept addition

Two numbers with similar signs get added and the resulting number carries the similar sign.

Two numbers with opposite signs get subtracted and the resulting number carries the sign of the larger number.

Step-2 – Given

to justify the fact that $5-6=-1$.give an argument similar to that of page 34 for the difference of $5-\left(-2\right)$.

Step-3 – Explanation

Hence, it is proved as

$\begin{array}{l}5-6\\ =-6+5\end{array}$ [can be written]

The integer 6 has negative sign and the integer 5 has a positive sign, one negative and one positive sign implies that subtraction needs to be done. After subtraction, the sign of the highest integer is given the priority.

So, the answer is $-1$.