Let the corresponding points of rational numbers a, B and C on the number axis be as shown in the figure, and simplify | B-A | + | a + C | + | C-B | | Math enthusiast | Mathematical art

Let the corresponding points of rational numbers a, B and C on the number axis be as shown in the figure, and simplify | B-A | + | a + C | + | C-B |

According to the diagram, C < B < 0 < A, | C | > | a |, so B-A < 0, C-B < 0, a + C < 0, then | B-A | + | a + C | + | C-B | = a-b-a-c + B-C = - 2C

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