divisible rules for 7, 8, 9 and 10. divisible lesson part-2

Divisible rules part-2
Well come back friends, In the last tutorial of easy division rules, we have discussed division shortcut rules from 2 to 6  and the logic behind it. We are resuming division rules 7 to 10, now. We are not talking about how important division rules in competitive math. Directly, we are going to tell you the formulae and the logic for the division rules 7 to 10.
Division rules of 7: - You can find out whether a number is divisible by 7 or not! First of all, you have to double the last digit (unit place digit) and subtract from the number. If you got the subtracted result is divisible by 7 or zero then the number will exactly divisible by 7 without any remainder. If you do not get the result divisible by seven or the number is zero then apply the same rule until you get it. Otherwise, the number will not divide by seven exactly. let's see the image for better understanding, how we have applied the operation.

Division rules of 8: -which number is divisible by 8- this is a simple and easy formula, just like the divisible rules of 4. But the difference is here you have to check last three digits. In the divisible rules of 4, we had seen that the last two digits divided by 4 without any remainder. In the case of 8, we will check last three digits divisible by 8 or not! If last three digits (one, ten and hundred unit places) is divisible by 8 then the checking number will divide by 8 without any remainder. Also, note, when last three digits will zero, then the checking number will also divide by 8.
Example:- 445845120, 8947568320, 968756648.
Last three digit divisible by 8. so, all the numbers will divide by 8 without any remainder. 84551000, 54662000, 5489654000 all the numbers will divide by 8 because all numbers are ending last three digits with zero. You may check with a calculator or copy pen and comment below. Why we are checking last three digits? The simple logic is that if a number made of four or more digits, then you can say that the number is one or few thousand plus something. As you know that the thousand is completely divisible by 8, if rest adding numbers is divisible by 8 then the whole number will divide by 8. It is the simple theory of divisible rules of 8.
Division rule of 9 (nine): - Another simple rule as like division rules of 3. Simply add all the digit of the checking number and divide the adding value by 9, if the numbers divisible by 9 then the number exactly divisible by nine.
Example:- 854634573 is a number, we will check whether the number will divisible by 9 or not! First of all, we add all the digits- that is 8+5+4+6+3+4+5+7+3=45/9 = no remainder means the number 854634573 will divide by 9.
Divisible rules of 10 (ten): - All the numbers will divide by ten, which numbers end with the zero. This is the only formula for division rules of 10. Example:- 1254450, 254660, 687450,568456585540 all the numbers will divide by ten because these numbers are ending with the digit zero.

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