Explanation Given: A number 243 , 243 . Approach: To divide the number and check if the answer is same as the initial three digit number that we took. Calculation: We took a three digit number 243 and we repeat the digit to make a six digit number, so we get 243 , 243 . Now on dividing 243 , 243 by 7 we get 34 , 749 . On dividing 34 , 749 by 11 we get 3 , 159 . And on dividing 3 , 159 by 13 we get 243 . Therefore, on division with 7 , 11 and 13 we get the same three digit odd number that we took initially in first step. Now. Let’s assume another three digit number say 326 . On repeating the three digit number. The six digit number that we get is: 326 , 326

A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)

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ISBN: 9780133865479

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott

Publisher: PEARSON

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Chapter 4.1, Problem 7MC

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If 243,243 on division with 7, 11 and 13 gives the same three digit number that we took in the starting and whether this trick works for every three digit number or not.

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A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)

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If 243 , 243 on division with 7 , 11 and 13 gives the same three digit number that we took in the starting and whether this trick works for every three digit number or not.

Solution Summary: The author explains how 243,243 on division with 7, 11 and 13 gives the same three digit number that we took in the starting.

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If 243,243 on division with 7, 11 and 13 gives the same three digit number that we took in the starting and whether this trick works for every three digit number or not.

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Chapter 4 Solutions