Question

a) ababab : ab;
b) abcabc : abc, unde a, b, c sunt cifre diferite de 0














Dau coroană!​

Answer 1

Răspuns:

ababab=ab×10000+ab×100+ab=ab(10000+100+1)=ab×10101=>ababab:ab=(ab×10101):ab=10101

abcabc=abc×1000+abc=abc(1000+1)=abc×1001

abcabc:abc=(abc×1001):abc=1001

Answer 2

Răspuns:

ababab=100000a+10000b+1000a+100b+10a+b=101010a+10101b=

10101(10a+b)=10101ab

10101ab:ab=10101

_____________

abcabc=100000a+10000b+1000c+100a+10b+c=100100a+10010b+1001c = 1001(100a+10b+c)=1001abc

abcabc:abc=1001abc:abc=1001