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In this worksheet, you must use trial and improvement to solve equations.
Example
Solve a2 = 54 giving the answer to 1 decimal place.
Answer
Try a value you think will be close to the answer.
| a = | a2 = | |
| 7 | 49 | This is too small. Try a bigger value. |
| 8 | 64 | This is too big. Try between 7 and 8. |
| 7.5 | 56.25 | Now let's try half way. Too big. Try a smaller number. |
| 7.3 | 53.29 | Too small. |
| 7.4 | 54.76 | Too big. |
| 7.35 | 54.02 | Let's try half way between 7.3 and 7.4. Too big. |
The value of a is closer to 7.3 than 7.4
Answer to 1 decimal place is a = 7.3
