# Standard form

Let's take a look at another example that involves fractions.

## Standard form rules

Therefore, let's first eliminate the fractions. In this case, there are 9 digits so the final answer would be. There are 6 digits between the original and the new decimal point so the power is So for Khan Academy purposes, this is considered standard form, although don't be surprised if you encounter some folks who say, no, we would rather you remove any common factors. If your number is your calculator will show you something like this 3. In the example on the right you should end up with 3. When we move terms around, we do so exactly as we do when we solve equations! This works with large and small standard form numbers. We need to find the least common multiple LCM for the two fractions and then multiply all terms by that number!

We think this is important, actually not just being able to have non-integers as A, B or C, but also being able to have a negative A, right over there, because negative three is our A, and also having coefficients, having our As, Bs and Cs having shared factors, we thing all of that's important because sometimes the equation itself has meaning when you write it that way.

In the example, there are 8 digits on the right side of the decimal point.

## Standard form slope

Well, for some folks, they would say standard form, the coefficients on x and y and our constant term, so our A, B and C, can't share any common factors. When you write down the answer, you will get. For our purposes on Khan Academy, we do consider this standard form, but I'm just letting you know, because some folks might not because this leading coefficient is not greater than zero.

The Calculator Method If you have access to a calculator, you can convert standard form into normal numbers just by simply typing in the standard form version.

We just want you to think about it in this form, Ax plus By is equal to C. Let's look at an example.

### Standard form

We think this is important, actually not just being able to have non-integers as A, B or C, but also being able to have a negative A, right over there, because negative three is our A, and also having coefficients, having our As, Bs and Cs having shared factors, we thing all of that's important because sometimes the equation itself has meaning when you write it that way. This will be your power. Solution That was a pretty easy example. Now why would some folks argue that this is not standard form? Summary: Forms of two-variable linear equations Video transcript - [Instructor] We've talked about the idea of standard form of a linear equation in other videos, and the point of this video is to clarify something and resolve some differences that you might see in different classes in terms of what standard form is. We need to find the least common multiple LCM for the two fractions and then multiply all terms by that number! So things that are in standard form would include things like three x plus four y is equal to 10, or two x plus five y is equal to negative The reason why some people might not consider this standard form is that A, B and C are not integers. So everyone agrees that standard form is generally a linear equation where you have some number times x plus some number times y is equal to some number. Moving on to Some Calculations Now that you know how to convert standard form into normal numbers and vice versa, you can try to do some calculations with numbers in standard form. There is one other rule that we must abide by when writing equations in standard form. This works with large and small standard form numbers. Chapter 6. If you have access to a calculator like this, you can convert into standard form by just typing in the normal number small or large.

If you find that you need more examples or more practice problems, check out the Algebra Class E-course. So some folks would argue that this is not standard form because they want to see this first coefficient right over here, the A, being greater than zero, while here it is less than zero.

### Write in standard form calculator

You'll find additional examples on video, lots of practice problems with detailed solutions and little "tips" to help you through! When you do the exercises on the Khan Academy, it's not going to be checking whether these coefficients, A, B and C are divisible, have a common factor. If your number is your calculator will show you something like this 3. Some folks would say to be in standard form, A, B and C need to be integers, and you could multiply both sides of the equation by some value that will give you integers for A, B, and C, but for Khan Academy purposes, we do consider this to be in standard form. Solution Slope intercept form is the more popular of the two forms for writing equations. However, you must be able to rewrite equations in both forms. When you write down the answer, you will get. If you are dealing with a large number in standard form, just move all numbers to the left leaving the decimal point stationary by the number of places indicated by the power. Our first step is to eliminate the fractions, but this becomes a little more difficult when the fractions have different denominators! Solution That was a pretty easy example.
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