The position of rational number abc on the number axis is shown in the figure. Please simplify -3|c 4|b 2|b-a| Figure - c -0- b - a And explain why The position of rational number abc on the number axis is shown in the figure. Please simplify -3|c 4|b 2|b-a| Figure - c -0- b - a And explain why it was done. | Math enthusiast | Mathematical art

The position of rational number abc on the number axis is shown in the figure. Please simplify -3|c 4|b 2|b-a| Figure - c -0- b - a And explain why The position of rational number abc on the number axis is shown in the figure. Please simplify -3|c 4|b 2|b-a| Figure - c -0- b - a And explain why it was done.

According to the figure, C0, a > b
|B-a|=a-b,|c|=-c,|b|=b
-3|C||+4|b||+2|b-a|
=-3(-C)+4b+2(a-b)
=3C+4b+2a-2b
=2A+2b+3c

As shown in the figure, three points A, B, C on the number axis represent rational numbers a, b, c, respectively, and simplify |a-b|-|a+c||b-c|.

According to the number axis, c >0, a < b <0,
Thus a-b <0, a+c <0, b-c <0.
Principle=b-a+a+c+c-b=2c.

From the number axis, c >0, a < b <0,
Thus a-b <0, a+c <0, b-c <0.
The formula = b-a+a+c+c-b=2c.

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