5.Real_Numbers.md

Real Numbers

in mathematics

Real numbers can be thought of as all points on a line called the number line or real line, where the points corresponding to integers are equally spaced

Scientific Notation

real number representation

The above expression means

A real number can be represented by

where $s\in \{0, 1\}$, $b \ge 2$, $i \in \{0, 1, 2, ...\}$, $d_i\in \{ 0, ..., b-1 \}$ 
and $d_0 > 0$ when $x \ne 0$, $b$ and $e$ are integers.

For example: $G \approx 6.674×10^{−11} m^3⋅kg^{−1}⋅s^{−2}$

$(6 \times 10^{0} + 6 \times 10^{-1} + 7 \times 10^{-2} + 4 \times 10^{-3})\times 10^{-11}$