Question

2,4(1) және 2.(41);​

Answer 1

2,4(1)=2+0,4+0,01+0,001+...=2+(4/10)+(1/9)=2+(37/90)

2,(41)=2+0,41+0,0041+...=2+(41/99)

Сравним:

37/90  и  41/99

(37·99)/(90·99)  и  (41·90)/(90·99)

3663/(90·99)  <   (3690)/(90·99)

Значит, 2,4(1) < 2, (41)