Power of 10:
Power of \(10\) can be used to explain the larger values in expanded form and decimal values can be expressed using powers of \(10\).
Example:
1. \(47561\)
\(=(4 \times 10000) + (7 \times 1000) + (5 \times 100) + (6 \times 10) + (1 \times 1)\)
\(=(4 \times 10^{4}) + (7 \times 10^{3}) + (5 \times 10^{2}) + (6 \times 10^{1}) + (1 \times 10^{0})\)
2. \(561.903\)
\(=(5 \times 100) + (6 \times 10) +(1 \times 1) + (9 \times \frac{1}{10}) + (0 \times \frac{1}{100}) + (3 \times \frac{1}{1000})\)
\(=(5 \times 10^{2}) + (6 \times 10^{1}) +(1 \times 10^{0}) + (9 \times 10^{-1}) + (0 \times 10^{-2}) + (3 \times 10^{-3})\)
Time in Powers of Ten:
Modern and historical timelines expressed using power of \(10\).
Example:
\(10^{0}\) = \(1\) second
\(10^{1}\) = \(10\) second
\(10^{2}\) = \(1.6\) minutes
It goes on like this....
Historical Number Names (Jaina & Buddhist Texts)
Ancient systems named powers up to \(10^{96}\) and beyond that.
Examples:
Ayuta - \(10^{9}\)
Niyuta - \(10^{11}\)
Kankara - \(10^{13}\)