Possibilities 5590

The line represents the number axis, and the marked points correspond to the numbers a, - a, and + 1, but in no particular order. Construct the points that correspond to the numbers 0 and 1. Discuss all the possibilities.

Correct answer:

a₁ =  0
a₂ =  -1

Step-by-step explanation:

$$\begin{gathered} a_1=0 \\ {a}_{11}=a_1=0 \\ {a}_{12}=-a_1=-0=0 \\ {a}_{13}=a_1+1=0+1=1 \end{gathered}$$

$$\begin{gathered} a_2=-1 \\ {a}_{21}=a_2=(-1)=-1 \\ {a}_{22}=-a_2=-(-1)=1 \\ {a}_{23}=a_2+1=(-1)+1=0 \\ {a}_3=1 \\ {a}_{31}=a_3=1 \\ {a}_{32}=-a_3=-1 \\ {a}_{33}=a_3+1=1+1=2\text{N} \end{gathered}$$

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