2024 Author: Malcolm Clapton | [email protected]. Last modified: 2023-12-17 03:44
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Of course, it's strange to divide by a column on a piece of paper, if everyone has a calculator in their phone now. However, if suddenly you still need this obsolete skill, at least to surprise your friends, then we suggest you get acquainted with the interesting technique of dividing any number by 9, 90 or 900. The essence of the method comes down to replacing division with simple addition.
Let's say you want to divide 1234 by 9.
1234÷9=?
1. Add the digits of 1234: 1 + 2 + 3 + 4 = 10. Divide 10 by 9. We get 1 and 1 in the remainder.
2. Fractional part - 1/9.
3. Add 1 + 2 + 3 + 1 = 7. 1 is an integer that we got when performing the first action. We write down 7. This will be the last digit of the result.
4. Add 1 + 2 = 3. We write down 3. This will be the second digit of the result.
5. Remains 1, write 1. This will be the first digit of the result.
Answer: 137 1/9.
Example # 2:
8346÷9=?
1. 8 + 3 + 4 + 6 = 21. Divide 21 by 9. We get 2 and 3 in the remainder.
2. The fractional part is 3/9, we reduce it, we get 1/3.
3. 8 + 3 + 4 + 2 = 17. We write 7, the remainder is 1.
4. 8 + 3 + 1 = 12, write 2, the remainder is 1.
5. 8 + 1 = 9. We write 9.
Answer: 927 1/3.
Although at first glance this method seems extremely confusing, in fact, you just need to try it a couple of times in practice and you will succeed!
When dividing by 90 or 900, you just need to move the comma to the left one or two positions, respectively.
8346÷90=92, 74
8346÷900=9, 274
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