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# Dividing a decimal by a power of 10: pattern

## Video transcript

in the last video we divided 100 into ninety-nine point zero six one and we did it the manual way we did it the long division way in this video I just want to show you a quick shortcut because we're dividing something by a power of 10 if I have if I have ninety-nine point zero six one if I multiply by a power of ten I'm going to make the number bigger every time I multiply by 10 the decimal would shift to the right by one spot so 99 point 0 so we could say 99 point zero six one times 10 is going to be equal to 990 point six one notice we just moved the decimal over to the right by one if I were to do I'll just arbitrarily switch colors 99 point zero 6 1 divided by 10 we're going to shift the decimal in the other direction this is going to be nine point nine zero six one so when we divide by 100 we're dividing by 10 twice we're shifting to the left twice so if we start with 9999 point point zero six one divided by a hundred let me just write it like this we've already written the problem if we want to divide this by 100 moving it one spot to the left will divide it by ten we'll divide it by 10 and then moving it 1 another spot to the left we'll divide it by 10 again so this will be so 999 point zero 6 1 divided by 100 is going to be equal to 0.99 zero six one we're just going to shift the decimal to the left by two and we might want to put a leading zero here just so it makes it a little bit easier to read