How do you change formulas?
How to rearrange formulas often seems to be more difficult than the calculation actually is. You just have to consistently apply the same rules that apply to transforming equations.
What you need:
- Possibly pocket calculator
- Scratch paper
- Possibly a collection of formulas
If you're also wondering how to rearrange formulas, there are just a few simple steps to follow. Of course, every formula is a little different, but the principle remains the same.
How to move around skillfully
- First you have to consider why you want to change the formula. What do you want to achieve with it? Usually you are looking for a new formula in which one component of the formula is on one side of the equal sign.
- Then you begin to put all the ingredients that you don't want isolated on one side and leave the ingredient you are looking for alone on the other side of the formula.
- It is important that you always carry out all arithmetic operations for both sides of the equals sign, as this is the only way the formula really remains the same and the transformation leads to a correct result.
- You always write your calculation after a vertical line on the far right of the actual formula.
- Always write the new result of the formula, which has already been partially changed, in a new line one below the other.
Skillfully rearrange formulas in math - the math expert explains how it is done
Not only in school mathematics, but also in your studies and at work you will always ...
This is how you change formulas correctly
- In principle, do not work with a zero for all arithmetic operations, as this does not make sense when transforming a formula.
- If you want to get a letter of the formula on the other side, you always have to use the reverse calculation method (as I said on both sides at the same time).
- If something has been added in the starting formula, subtract it. A + b = c then becomes a = c - b. If a letter has been subtracted, add it as you move it. So if you have a - b = c, make it a = c + b.
- You divide what is first multiplied and vice versa. So a x b = c changes to a = c / b and a / b = c makes it a = c x b. root are squared and square numbers are taken to the root.
- You may also use the binomial formulas to convert. Here you can see whether you discover a form of the binomial formulas in the equation and whether the conversion to the other notation will be helpful in the calculation.
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