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Q.5 Without actual division, show that each of the following numbers is divisible b8:(i) 1608(ü) 240008 |
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Answer» In both cases the answer is yes. Step-by-step explanation: Test Of DivisibilityIt 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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