Video transcript
Let ‘s divide 518 by — then we’re going to divide it by 0.7. So we ‘re dividing this wholly count by a decimal fraction. So we could besides write this as 518 divided — let me write a little spot bigger than that, since we have to do some oeuvre with it. 518 divided by — I’ll do the class sign in white — divided by 0.7. So the first thing we do, since we have this decimal hera, we ‘re dividing by a decimal fraction. so try to turn this into a unharmed number somehow. Well, the best way to turn this into a whole issue is to multiply this by 10, which is basically multiply, shifting the decimal fraction orient over to the right. So this would become a 7. But we ca n’t equitable do that only for what we ‘re dividing by. We besides have to do that to the 518, therefore that a value does not change. So we need to multiply both of these times 10. thus if we move the decimal fraction over to the correctly with the 0.7 to turn into a 7, we besides need to move the decimal over to the right for 518. nowadays, you ‘re probably saying, well, I do n’t see a decimal fraction in 518. well, there is one. You precisely did n’t have to write it, because it ‘s 518.00 — and we can add as many zeroes as we want. so if we move the decimal fraction to the right, it becomes 5,180. indeed in truth what we ‘re saying is 518 divided by 0.7 is the same thing as 5,180 divided by 7. Notice all we did by moving the decimal one invest to the right, is we multiplied both of these numbers by 10, which is not going to change the actual value of the decimal. One other way of thinking about this, if you wanted to write this as a fraction, this is the like thing as 518 over 0.7. You multiply both the numerator and denominator by 10, you will get 5,180 over 7. So lashkar-e-taiba ‘s clean this up a little sting, just so we remember what we did. So we moved the decimal fraction over to the right, one. sol now this is just a 7. The decimal is there. In fact, we actually do n’t have to write the decimal anymore. It ‘s just a 7.0 — you could imagine 7.0, so we can just write this as a 7. And then the 518, the decimal fraction is nowadays knocked out here. So this is 5,180. And let ‘s increase the bless right over here. now, this is just a straight-up long division trouble. How many times does 7 go into 5 ? well, it goes 0 times. 0 times 7 — actually, let’s barely cut to the chase. 7 does n’t go into 5. It does go into 51. 7 times 7 is 49. So it goes 7 times. 7 times 7 is 49. Subtract 51 minus 49 is 2. And nowadays we can bring down this 8. 7 goes into 28 four times. 4 times 7 is 28. subtract, you get a 0. now we can bring down another 0. We want at least get to the decimal fraction place. So we bring down another 0 right over here. When I say get to the decimal position, we could put the decimal fraction place up here besides, precisely to make certain we ‘re keeping track of the right place values or that we can have the decimal in the right home. So poster, I ‘m very especial. When I ‘m doing 7 goes into 51, I put the 7 right above the 1 in the 51 ‘s place. When I ‘m saying 7 goes into 28, I ‘m putting the 4 correct above the 8 in this one ‘s place when we ‘re doing the division. indeed now we say how many times does 7 go into 0 ? well, it goes 0 times. 0 times 7 is 0. subtract, you have no end. So we could keep going, and we ‘ll just keep getting zeroes like this. But we see that this is equal to 740.
