Dealing with decimals in linear equations might seem a little confusing at first. But don’t worry! There are some easy methods to help make it simpler. Let’s look at a few strategies to help you solve these equations more easily.

1. Getting Rid of Decimals

One of the easiest ways is to get rid of the decimals altogether. You can do this by multiplying the whole equation by 10, which shifts the decimal point to the right.

For example, look at this equation:

$0.3x + 0.4 = 1.2$

If you multiply every part by 10, you get:

$3x + 4 = 12$

Now, you can solve this equation without worrying about the decimals!

2. Changing Decimals to Fractions

Sometimes, it’s easier to change decimals into fractions. Let’s take this equation:

$0.5x + 1 = 2$

You can turn $0.5$ into the fraction $\frac{1}{2}$:

$\frac{1}{2}x + 1 = 2$

Next, multiply everything by 2 to get rid of the fraction:

$x + 2 = 4$

3. Using a Calculator

If the decimals are more complicated, using a calculator can really help. Just make sure to check your decimal spots carefully as you work.

Conclusion

These techniques can make working with equations that have decimals much easier. Try practicing with different problems to see which method helps you the most!