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Q.5 Without actual division, show that each of the following numbers is divisible b8:(i) 1608(ü) 240008​

Answer»

ANSWER:

In both cases the answer is yes.

Step-by-step explanation:

Test Of Divisibility

It is nothing but a quick test for divisibility.

Eg. to check 3 is DIVISIBLE by 123, just add all the numbers.

                                                1+2+3 = 6

Now, is 6 divisible by 3. Yes, it becomes easy!

Now, let's COME to the point.

The test of divisibility of 8 is just find that the LAST 3 digits are divisible by 8 as simple as that!

(i) In first the last 3 digit is 608. Of course it's not easy to find it is divisible by 8 but the number became smaller.

So, let's check if 208 is divisible by 8. 608/8 = 76.

Wow! It leaves no remainder

∴ we can PROVE that 1608 is divisible by 8!

(ii)In second the last 3 digits ar 008 or 8!

Is 8 divisible by 8.

Easy question right? of course yes.

The conclusion

∴ both first and second number is divisible by 8.

Hope you understood( :



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