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A3 - digit 5a8 is divisible by 9 .find the value of a |
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Answer» A five digit number is DIVISIBLE by 9. A new number is formed by INTERCHANGING the hundreds and the ones digits. What is the REMAINDER when this new number is divided by 9?There is a trick for checking whether a number is divisible by nine:Trick: Divisibility by NineAdd up the digits of the NUMBERIF the sum is divisible by nine, the original number is divisible by nineLet’s test this on a number that I know is divisible by 9:12345678Add up the digits: 1+2+3+4+5+6+7+8 = 3636 is divisible by 9, so 12345678 is also divisible by 9Now, let’s interchange the hundreds and the units digits:12345876Add up the digits: 1+2+3+4+5+6+7+8 = 36(it’s OKAY to add them out of order)Do you see that if your original number is divisible by 9, so will your rearranged number.So, I ask you this question:A five-digit number is divisible by 9. A new number is formed by interchanging the hundreds and ones digits. What is the remainder when this new number is divided by 9? |
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