The video is a tutorial on long division, a method for dividing larger numbers into a series of shorter division steps. It emphasizes the importance of understanding the basic division procedure before moving on to long division.
The video explains that long division is a way to divide a larger number into smaller parts, each of which can be solved using the basic division method. It also explains that the key to long division is to think about the division problem digit by digit, starting from the leftmost digit and working towards the right.
The video provides an example of long division with the number 936 divided by 4, demonstrating the process step by step. It explains that in long division, if a remainder is left over from a previous step, it needs to be combined with the next digit before the division is performed.
The video also illustrates that the number of steps in long division depends on both the number of digits in the dividend and the divisor. It gives examples to show that a division problem that seems to have more digits than steps is actually a two-step problem.
Finally, the video provides tips for practicing long division, including the importance of neat writing, starting with smaller numbers, and checking answers with a calculator.
1. The lesson is about learning long division, a method of breaking up a larger division problem into a series of short division steps.
2. Long division is used to divide large numbers, even if they are very big.
3. The key to long division is to think about the division problem digit by digit.
4. If the dividend (the number being divided) has many digits, there will be many division steps to complete.
5. In basic one-step division, all the dividends were small enough that the multiplication table could be used to find the answer.
6. However, if the division problem is like 936 divided by 4, where 936 is not on the multiplication table, the entire 936 cannot be divided by four all at once.
7. Instead, the problem is broken up into smaller steps by trying to divide each digit by four one digit at a time.
8. The division is done from left to right, starting with the digit in the biggest number place first.
9. The result of each division step is placed directly above the digit being divided.
10. The remainder from each division step is then used in the next step.
11. The process of dividing each digit and using the remainder in the next step continues until the whole dividend has been divided.
12. The number of steps in long division is not always the same as the number of digits, as it also depends on the size of the divisor.
13. In some cases, when the number is too small to divide into, a zero is put on the answer line and the process moves on to the next digit.
14. Practicing long division problems can be made easier by starting with smaller dividends and checking the answer with a calculator after each problem.