Question

CMR:

abab chia hết cho 101

Answer 1

\(abab⋮101\)

Vậy \(abab=1010\)

Nên \(abab=1010⋮101\)

Thì \(abab=1010⋮101=10\)

Hk tốt

Answer 2

1000a+100b+10a+1b=1010a+101b=101(10a+b0 chi het cho 101

Answer 3

Ta có: abab=ab.100+ab

=> abab= ab.(100+1)

=> abab= ab.101

        Mà 101 \(⋮\)101

=> ab.101 \(⋮\)101

    Mà abab=ab.101

=> abab \(⋮\)101

Answer 4

\(\overline{abab}⋮101\)

\(\Rightarrow100\overline{ab}+\overline{ab}⋮101\)

\(\Rightarrow101\overline{ab}⋮101\)(luôn đúng)

\(\Rightarrowđpcm\)

Answer 5

abab = 1010