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# Example of Standard Form: A Complete Guide

Get the free Example of Standard Form worksheet and other resources for teaching & understanding Example of Standard Form

## A Brief Guide for Converting from Scientific Notation

In order to Convert Numbers from Scientific Notation you move the decimal point based on the exponent on the power of ten. The exponent on the power of ten tells you the number of spaces you must move the decimal point. If the exponent is positive, the decimal moves to the right. If the exponent is negative, the decimal moves to the left. When you Convert Numbers from Scientific Notation you will have either a decimal or a large whole number as an answer. If the exponent is negative then you will have a decimal as an answer. If the exponent is positive, then you will have a large whole number as an answer.

Common Core Standard: 8.EE.A.3

Basic Topics:

## A Guide for Completing any Standard Notation Examples

So what is standard form anyway? Converting Numbers from Scientific Notation means moving the decimal point based on the power of ten. The power on the power of ten reveals to you the quantity of spaces you should move the decimal point. In the event that the type is positive, the decimal moves right. In the event that the example is negative, the decimal moves left.

## 4 Quick Steps for Converting From Scientific Notation

1. To convert a number to standard form, you have to move the decimal according to the exponent of the power of ten.
2. The number of the exponent tells you how many times the decimal will move.
3. If the exponent is negative, the decimal moves left.
4. If the exponent is positive, the decimal moves right.

## Try some Practice Problems on Going from Scientific Notation to Standard Form

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Converting from Scientific Notation to Standard Form

Click Start to begin the practice quiz!

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Convert the following to Standard Form:

7.8 x 10^3

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Convert the following to Standard Form:

5.2 x 10^5

3 / 5

Convert the following to Standard Form:

3.4 x 10^4

4 / 5

Convert the following to Standard Form:

4.7 x 10^-3

5 / 5

Convert the following to Standard Form:

6.45 x 10^-4

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## Watch the Example of Standard Form Video Explanation

Watch our free video on how to solve Standard Form. This video shows how to solve problems that are on our free Example of Standard Form worksheet that you can get by submitting your email above.

Watch the free Standard Form video on YouTube here: Example of Standard Form

Example of Standard Form | Mathcation

Video Transcript:

This video is about converting numbers from scientific notation into standard form example. You can get the scientific notation to standard form worksheet we use in this video for free by clicking on the link in the description below.

The directions for our practice problems say to convert the following numbers from scientific notation into standard form. Jumping down to the first problem about standard form examples it gives us 9 times 10 to the third power. We have to convert this number from scientific notation into standard form. Every number written in scientific notation has a coefficient times a power of 10. The power of 10 tells you how many times you have to move the decimal point. This exponent in particular tells you how many times the decimal point moves either to the left or to the right. If this exponent is positive, it will move the decimal point to the right and if this exponent is negative, it will move the decimal point to the left.

Let’s go ahead and complete this first problem on the scientific notation to standard notation worksheet. Once again the first problem is 9 times 10 to the third power it asks to convert to standard form. We already know that the decimal is located right here after the 9 because this 9 is our coefficient so we’re going to rewrite the 9 with a decimal point after it. Now this power of 10 here, 10 to the third power, has an exponent of 3. That 3 is positive so that means you’re going to move the decimal three spots to the right. We will take our decimal place here and we will move it one, two, three times to the right and we will add our new decimal. Everywhere there is an empty space we’re going to add a zero for the placeholder. To simplify 9 times 10 to the third would be nine thousand in standard form so our answer is nine thousand and that’s how you convert standard form to scientific notation.

Number two gives us five point zero one times ten to the negative fourth and is the second examples of standard form. Now we already know where our decimal is located because it’s given to us in the problem so let’s go ahead and rewrite our coefficient as five point zero one the power of ten. This time we an exponent of negative four. This four means we’re going to move the decimal four times and because it’s negative that means we move the decimal four times to the left. We’ll take our decimal and we’ll go one, two, three, four times to the left and we will put our new decimal point. And then everywhere there’s an empty space we will add a zero. Our solution from scientific notation in standard form is point zero zero zero five zero one and that’s going to be our answer.

The last problem we’re going to convert from scientific notation into standard form is number ten. Number ten gives us one point zero zero zero three five times 10 to the fourth power and is another example of standard notation. We already know where our decimal is because it’s included in the coefficient. We’ll write one point zero zero zero three five under our problem. Our power of 10 has an exponent of four. We know we have to move it four times and the 4 this time is positive so we will move the decimal point to the right because the 4 is positive. We take our decimal point and we go one, two, three, four times to the right and we will add our new decimal point. Then we’re going to rewrite this in standard form. It will be one zero zero zero three point five or ten thousand and three point five and that’s going to be our answer. Try all the practice problems by downloading the free converting to and from standard form worksheet above.

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