Shortest Distance from Origin - 1D

Geometry Level 1

What is the shortest distance of the point 4 x = 3 4x = 3 from the origin in R 1 \mathbb{R}^{1} ?


Also try this problem in: 2D , 3D and 4D

Image credit: Wikimedia Commons: Ezra Katz


The answer is 0.75.

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1 solution

Pranshu Gaba
Mar 11, 2016

The distance between any two points on the real line, x 1 x_{1} and x 2 x_{2} is given by x 1 x 2 |x_{1} - x_{2}| , that is the absolute difference between the two points.

In the problem, we have to find the distance between x = 3 4 x = \frac{3}{4} and the origin, x = 0 x = 0 . The distance is 3 4 0 = 3 4 |\frac{3}{4} - 0 | = \frac{3}{4} . When converted to decimals, 3 4 \frac{3}{4} is equal to 0.75 \boxed{0.75} _\square

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