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number, multiply it by and subtract the product from the truncated original number to obtain − × = let us repeat the procedure, remove the last digit from the number multiply it by and subtract the product from . we get − = since is divisible by , then is divisible by . question . if the integer x is divided
by , the remainder is . find the remainder when x is divided by . solution: the number x can be expressed as x = n+ , n ∈ n. so, x = ( n+ ) = n+ or equivalently x = n + + = ( n + ) + therefore, if x is divided by , the remainder is . multiplication, addition, and subtraction tricks adding two or more...
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