Scientific Notation/Examples/Multiplication/Powers of 10
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Example of Multiplication using Scientific Notation
- $\paren {10^3} \paren {10^2} = 10^5$
Proof
| \(\ds \paren {10^3} \paren {10^2}\) | \(=\) | \(\ds 10^{3 + 2}\) | Product of Powers | |||||||||||
| \(\ds \) | \(=\) | \(\ds 10^5\) |
That is:
| \(\ds \paren {10^3} \paren {10^2}\) | \(=\) | \(\ds 1000 \times 100\) | Definition of Scientific Notation | |||||||||||
| \(\ds \) | \(=\) | \(\ds 100 \, 000\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 10^5\) | Definition of Scientific Notation |
$\blacksquare$
Sources
- 1972: Murray R. Spiegel and R.W. Boxer: Theory and Problems of Statistics (SI ed.) ... (previous) ... (next): Chapter $1$: Scientific Notation: Example 1.