1. Find `(5.1*10^5) - (11.2*10^6)`
Solution:
| `5.1*10^5 - 11.2*10^6` | |
| `=0.51xx10^6 - 11.2xx10^6` | (Rewrite numbers to have same power of 10) |
| `=(0.51 - 11.2)xx10^6` | (Subtract numbers) |
| `=-10.69xx10^6` | |
| `=(-1.069xx10^1)xx10^6` | (Write 10.69 in scientific notation) |
| `=-1.069xx10^7` | |
2. Find `(4.2*10^-2) - (3.3*10^-3)`
Solution:
| `4.2*10^-2 - 3.3*10^-3` | |
| `=4.2xx10^-2 - 0.33xx10^-2` | (Rewrite numbers to have same power of 10) |
| `=(4.2 - 0.33)xx10^-2` | (Subtract numbers) |
| `=3.87xx10^-2` | (already in scientific notation) |
3. Find `(2*10^4) - (3.3*10^5)`
Solution:
| `2*10^4 - 3.3*10^5` | |
| `=0.2xx10^5 - 3.3xx10^5` | (Rewrite numbers to have same power of 10) |
| `=(0.2 - 3.3)xx10^5` | (Subtract numbers) |
| `=-3.1xx10^5` | (already in scientific notation) |
4. Find `(8*10^5) - (5.3*10^4)`
Solution:
| `8*10^5 - 5.3*10^4` | |
| `=8xx10^5 - 0.53xx10^5` | (Rewrite numbers to have same power of 10) |
| `=(8 - 0.53)xx10^5` | (Subtract numbers) |
| `=7.47xx10^5` | (already in scientific notation) |
This material is intended as a summary. Use your textbook for detail explanation.
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