1. Find `(2*10^-5) / (8*10^4)`
Solution:
| `(2*10^-5) / (8*10^4)` | |
| `=(2/8) xx ((10^-5)/(10^4))` | (Group the numbers) |
| `=0.25 xx (10^(-5 - 4))` | `("law of indices "a^m/a^n=a^(m-n))` |
| `=0.25xx10^-9` | |
| `=(2.5xx10^-1)xx10^-9` | (Write 0.25 in scientific notation) |
| `=2.5xx10^-10` | |
2. Find `(2.4*10^7) / (4.8*10^4)`
Solution:
| `(2.4*10^7) / (4.8*10^4)` | |
| `=(2.4/4.8) xx ((10^7)/(10^4))` | (Group the numbers) |
| `=0.5 xx (10^(7 - 4))` | `("law of indices "a^m/a^n=a^(m-n))` |
| `=0.5xx10^3` | |
| `=(5xx10^-1)xx10^3` | (Write 0.5 in scientific notation) |
| `=5xx10^2` | |
3. Find `(3*10^7) / (4*10^4)`
Solution:
| `(3*10^7) / (4*10^4)` | |
| `=(3/4) xx ((10^7)/(10^4))` | (Group the numbers) |
| `=0.75 xx (10^(7 - 4))` | `("law of indices "a^m/a^n=a^(m-n))` |
| `=0.75xx10^3` | |
| `=(7.5xx10^-1)xx10^3` | (Write 0.75 in scientific notation) |
| `=7.5xx10^2` | |
This material is intended as a summary. Use your textbook for detail explanation.
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