Divide Decimals-Video1of5
Math
Problem-solving in Dividing Decimals
High class, this is miss champagne, and I'm going to teach you how to divide decimals. The first thing that you need to know is that long division is the same thing as a fraction. So this number is called the dividend. This number is also. The numerator. So the numerator and the dividend are the same thing. So I'm going to put the word dividend. At the top. This is the dividend numerator. So that means that this number. Is called the divisor. The number which divides. Second thing to know is that the divisor can not have a decimal. So we need this divisor to be a whole number.
So we're going to take this decimal, and we're going to move it here. So that I can have the number 56 instead of 5.6. If I move the decimal here, I have also have to move the decimal on the inside. Don't let this comma confuse you. This comma is not a decimal. This just means 9000. Your decimal is imaginary and is right here at the end. So we're going to have to move this imaginary decimal over one space here. And fill in this with a zero. So the number that we're actually dividing is 56 divided by 9 zero two three zero dot. And draw your decimal straight up. That's the third step. So the first thing to recognize is that long division is the same as a fraction. Second, the divisor can not have a decimal, in it, so you have to move it to the end here.
Whatever you move here, you also have to move the inside one space. Bring your decimal straight up. Now, we're going to write the multiples of 56. That means that we are going to add 56 plus 56. 6 plus 6 is 12. Put the two, carry the one, 5 plus 5 is ten plus one is 11. So your multiples of 56 are 56. The next multiple is one 12. Then I'm going to add another 56 to find my next multiple 6, 7, 8, 5, 6, is one 68. And I'll just do one more. Plus 56, 8 plus 6, 8, 9, ten, 11, 12, 13, 14, put the four, carry the one, 6, 7, 8, 9, ten, 11, 12, carry the one. Two 24. And I'm going to stop there. Now the first step is to look at the 9. Do you see the number 9 in the 56 times table? Or the multiples of 56? No, we don't. So now let's put a zero above 9. I don't see the number 9. What about the number 90? Which one of these numbers is closest to 90? Without going over 90. Correct. 56.
So I'm going to take 56 and write it here. Now what number times 56? Gave me 56. What number times 56 is equal to 56? Correct one. One times 56 is 56. The next step is to subtract. Zero -6 if I have $0, I can not take $6 away, so I go here to the 9, make that an 8. The one that I borrow, I place it right in front of this number to make it a ten. 6, 7, 8, 9, ten, is four, 8 -5 is three. The last step is to bring down so the steps to multiplication are divide, multiply subtract, bring it down, divide, multiply subtract, bring it down. When we look at our multiples. We are dividing. We're trying to find a multiple that's closest to 90. That's our first step. Divide, multiply. What number times 56 gave us to 56. It was one. Divide, multiply subtract, bring down. Next step is to start all over.