In the following addition problem, the numbers have been encrypted by letters. Each letter should represent a different digit (in the range from 0 to 9), and the leading digit of each number must not be zero. Determine the value of each letter so the addition works correctly. There is only one solution. KID + KID ----- DICEObserve the arrangement of the letters, and state at least three facts that allow you to narrow down the possible digits that could be assigned for a letter. For this part, you do not need to give a specific value for every letter, but just state why some range of digits is required or why some digits can be ruled out for a letter. This reduces the number of possible values that need to be considered for that letter. Use the observations from part (a) to determine possible values for the remaining letters.You should be able find the solution by trying possible values for each remaining letter, and then ruling out any values that do not lead to a consistent assignment of values for all letters. You may find it useful to check the addition with possible values using pencil and paper, and then enter your final values for each letter here.

(1) Observations: (a) Since 'KID' is a three-digit number, and 'KID' + 'KID' is a four…

Answered: In the following addition problem, the…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.2: Addition On A Number Line

Problem 19WE

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In the following addition problem, the numbers have been encrypted by letters. Each letter should represent a different digit (in the range from 0 to 9), and the leading digit of each number must not be zero. Determine the value of each letter so the addition works correctly. There is only one solution.

         KID
       + KID
       -----
        DICE

Observe the arrangement of the letters, and state at least three facts that allow you to narrow down the possible digits that could be assigned for a letter. For this part, you do not need to give a specific value for every letter, but just state why some range of digits is required or why some digits can be ruled out for a letter. This reduces the number of possible values that need to be considered for that letter.

Use the observations from part (a) to determine possible values for the remaining letters.
You should be able find the solution by trying possible values for each remaining letter, and then ruling out any values that do not lead to a consistent assignment of values for all letters. You may find it useful to check the addition with possible values using pencil and paper, and then enter your final values for each letter here.

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