we need to calculate 9.005 minus3.6, or we could view it as 9 and 5 thousandthsminus 3 and 6 tenths. whenever you do a subtractingdecimals problem, the most important thing, and this istrue when you're adding decimals as well, is you haveto line up the decimals.
How To Add Negative Fractions Together, so this is 9.005 minus 3.6. so we've lined up the decimals,and now we're ready to subtract. now we can subtract.
so we start up here. we have 5 minus nothing. you can imagine this 3.6, orthis 3 and 6 tenths, we could add two zeroes right here, andit would be the same thing as 3 and 600 thousandths, which isthe same thing as 6 tenths. and when you look at it thatway, you'd say, ok, 5 minus 0 is nothing, and you justwrite a 5 right there. or you could have said, ifthere's nothing there, it would have been 5 minusnothing is 5.
then you have 0 minus0, which is just 0. and then you have a 0 minus 6. and you can't subtract6 from 0. so we need to get something intothis space right here, and what we essentially aregoing to do is regroup. we're going to take one 1 fromthe 9, so let's do that. so let's take one 1 from the9, so it becomes an 8. and we need to do somethingwith that one 1. we're going to put itin the tenths place.
now remember, one wholeis equal to 10 tenths. this is the tenths place. so then this will become 10. sometimes it's taught thatyou're borrowing the 1, but you're really taking it, andyou're actually taking 10 from the place to your left. so one whole is 10 tenths, we'rein the tenths place. so you have 10 minus 6. let me switch colors.
10 minus 6 is 4. you have your decimal rightthere, and then you have 8 minus 3 is 5. so 9.005 minus 3.6 is 5.405.
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