As any number can be divided in 9, 90 or 900
Tips / / December 19, 2019
© photo
Of course, it's strange to share a column on a piece of paper, if everyone in your phone now has a calculator. However, if all of a sudden you still need this skill moribund, at least in order to impress your friends, we offer you to discover interesting technique of division of any number by 9, 90 or 900. The method boils down to, to replace the division by simple addition.
Suppose you need to divide 1234 by 9.
1234÷9=?
1. Fold digits of 1234: 1 + 2 + 3 + 4 = 10. 10 divided by 9. We get 1 and 1 in the residue.
2. The fractional part - 1/9.
3. Fold 1 + 2 + 3 + 1 = 7. 1 - an integer that happened, we work with the first action. Write 7. This will be the last digit of the result.
4. Fold 1 + 2 = 3. Write 3. This is the second digit of the result.
5. Remains 1, record 1. This is the first digit of the result.
Answer: 137 1/9.
Example №2:
8346÷9=?
1. 8+3+4+6=21. 21 divided by 9. 2 and 3 obtain a residue.
2. The fractional part - 3/9, cut, we get 1/3.
3. 8+3+4+2=17. Write 7 balance - 1.
4. 8 + 3 + 1 = 12, we write the 2 residue - 1.
5. 8+1=9. Write 9.
Answer: 927 1/3.
Although at first sight this method appears extremely confused, in fact, you just need to try a couple of times in practice and everything will turn out!
When divided by 90, or 900, you just need to move the comma to the left by one or two positions, respectively.
8346÷90=92,74
8346÷900=9,274
We try out the method in practice? How much will the 79538 ÷ 9?