How to Make a Decimal Into Standard Form

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Making a decimal into standard form is something you can do by multiplying by ten. Make a decimal into standard form with help from a professional private tutor in this free video clip.

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Video Transcript

Hi, I'm Rachel, and today we're going to be going over how to make a decimal into standard form. In standard form, we want it to be able to be something you can multiply by 10. You can think of scientific notation. So, something like 6.2 times 10, it could be like to the 23rd. Now, if we wanted to write that out, not in standard form, we would have to bring over the decimal point, and we would have 22 zeroes, right? So it would go on a really long way, that's a hard thing to write. So instead we write it like this so it's simpler. You can also have a decimal, like .00062, and if we want to write that in standard form, it's gonna be to a negative exponent, 'cause we're bringing it over the opposite way. Let's count how many times we bring it over. We bring it over one, two, three, four. So that is going to be written as 6.2 times 10 to the negative fourth when in standard form, because you're going the opposite way, so you have a negative exponent, whereas here you have a positive exponent because the zeroes are all to the right. I'm Rachel, and thanks for leaning with us today.


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