1.

Show that 3n×4m cannot end with 0 or 5 for any rational number n and m

Answer»

Answer:

S.T 3

n

×4

m

CANT end with 0 or 5.

For a NUMBER to end with 0, the number

must have 2 & 5 as factors.

10=2×5

100=2

2

×5

2

For a number to end with 5, the number must have 5 as a factor.

30=5×6

3

n

×(2

2

)

m

=3

n

×2

2

m

This number DOSENT have 5 or 5 and 2 as its factors. Therefore the number cant end with 0 o 5.


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