Đáp án:
Giải thích các bước giải:
Bài 1:
`a, 72 . 121 + 27 . 121 + 121`
= `121 . ( 72 + 27 + 1 )`
= `121 . 100`
= `12100`
`b, ( 165 . 99 + 165 ) - ( 163 . 101 - 163 )`
= `165 . ( 99 + 1 ) - 163 . ( 101 - 1 )`
= `16500 - 16300`
= `200`
`c, 24 . 62 + 48 . 19`
= `48 . 31 + 48 . 19`
= `48 . ( 31 + 19 )`
= `48 . 50`
= `2400`
`d, 24 . 72 + 48 . 12 - 20 . 100`
= `24 . 72 + 24 . 2 . ( 14 - 2 ) - 20 . 100`
= `24 . ( 72 + 2 . 14 ) - 2 . 24 . 2 - 2000`
= `24 . 100 - 96 - 2000`
= `2400 - 96 - 2000`
= `400 - 96`
= `304`
Bài 2:
`4/1.3 + 4/3.5 +...............+ 4/11.13`
= `2 . ( 1 - 1/3 + 1/3 - 1/5 +...............+ 1/11 - 1/13 )`
= `2 . ( 1 - 1/13 )`
= `2 . 12/13`
= `24/13`
Bài 3:
`( 1/1.2 + 1/2.3 + 1/3.4 + 1/4.5 + 1/5.6 ) . 10x = 0`
`( 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 ) . 10x = 0`
`( 1 - 1/6 ) . 10x = 0`
`5/6 . 10x = 0`
`10x = 0 : 5/6`
`10x = 0`
`x = 0 : 10`
`x = 0`