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Five three digit numbers including N were to be added. While adding, the reverse of N was added by mistake instead of N. Hence the summ increased by 11 times the summ of the digits of N.Eight times the difference of N's units and
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If 3 is raised to the 59th power, i.e. 359, what is the units digit? The units digit is the digit in the ones place. Explain the method used to find your answer.
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How many twodigit numbers have a tens digit that is greater than the units digit? Explain.
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Find all numbers $r$ for which the system of congruences: x == r mod 6 x == 9 mod 20 x == 4 mod 45 has a solution.
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The difference between the digits in a twodigit numeral is 3. The units' digit is twice the tens' digit. Find the nuermal.
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Prove that a^3 ≡ a (mod 3) for every positive integer a. What I did: Assume a^3 ≡ a (mod 3) is true for every positive integer a. Then 3a^3 ≡ 3a (mod 3). (3a^3  3a)/3 = k, where k is an integer a^3  a = k Therefore, a^3
asked by Kid on November 14, 2018

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Which Statements of congruence are true and which are false and why? 177 _= 17 (mod 8) 871 _= 713 (mod 29) 1322 _= 5294 (mod 12) 5141 _= 8353 (mod 11) 13944 _= 8919 (mod 13) 67 x 73 _= 1 x 3 (mod 5) 17 x 18 x 19 x 20 _= 4! (mod 8)
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A student claims that to divide a number with the units digit 0 by 10, she just crosses out the 0 to get the answer. She wants to know if this is always true and why and if the 0 has to be the units digit. How do you respond?
asked by Kali G on September 13, 2014 
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For every positive 2digit number, x, with tens digit t and units digit u , let y be the 2 digit number formed by reversing the digits of x. Which of the following expressions is equivalent to xy? a. 9(tu) b. 9(ut) c. 9tu d.0
asked by reena on February 11, 2012 
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Which Statements of congruence are true and which are false and why? 177 _= 17 (mod 8) 871 _= 713 (mod 29) 1322 _= 5294 (mod 12) 5141 _= 8353 (mod 11) 13944 _= 8919 (mod 13) 67 x 73 _= 1 x 3 (mod 5) 17 x 18 x 19 x 20 _= 4! (mod 8)
asked by Jimmy on October 22, 2012
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