disimprisoned disimprisoned

14-03-2019
Mathematics

contestada

Show that any number of the form ABCABC (e.g. 356356) is divisible by 13.

Respuesta :

LammettHash LammettHash

14-03-2019

We could write such a number as

[tex]10^5a+10^4b+10^3c+10^2a+10b+c[/tex]

[tex]=10^2(10^3+1)a+10(10^3+1)b+(10^3+1)c[/tex]

[tex]=(10^3+1)(100a+10b+c)[/tex]

[tex]10^3+1=1001=13\cdot77[/tex] so we're done.

Answer Link

Otras preguntas

Please select the word from the list that best fits the definition a showing

When a respirator or other medical equipment that is sustaining a patient's life is removed, this is known as __________?

can someone pls help me with this

FOURTEEN POINTS - PLEASE HELP Describe the vegetation of Ireland. What are 3-5 common plant types found in this area?(usually types of trees)? It is important t

mathhhh helppppppppppppppppppp 4. Which statement is true? A)If two figures are similar, then corresponding sides must be congruent. B)If two figures are simil

The _____ of each phrase in a melody can be drawn with a curved line that follows the direction of the note progression.

What impact did the invention of the cotton gin have on slaves in the South?

In which of the following sentences do the subject and verb agree? A. Susan said that measles are the worst disease that she's ever had. B. Today's news a

__________ is defined as having a single legislative chamber.

Which part of the mass had unchanging text regardless of the calendar date or festival? A. Proper B. Kyrie Dei C. Sanctus Gloria D. Ordinary