Tính hợp lý:
66 . ( -55 ) + 33 . ( -90 )
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Bài 1:tính hợp lý.
a) 1+2+66-55-22+200+5555
=3+66-55-22+200+5555
=69-55-22+200+5555
=14-22+200+5555
=(200-22)+14+5555
=178+14+5555
=192+5555
=5747
b)30+40+90+22-20
=(30+22)+(40-20)+90
=52+20+90
=72+90
=162
(5555-55) +(66+1+2-22)
=5500+ 47
=5547
b) (30+40+90-20)+22
=140-22=118
34 < 50 47 > 45 55 < 66
78 > 69 81< 82 44 > 33
72 < 81 95 > 90 77 < 99
62 = 62 61 < 63 88 > 22
= 1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90
= 1-1/2+1-1/6+1-1/12+1-1/20+1-1/30+1-1/42+1-1/56+1-1/72+1-1/90
= 9 – (1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90)
= 9 – [1/(1x2)+1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)+1/(7x8)+1/(8x9)+1/(9x10)]
= 9 – ( 1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10)
= 9 – (1 – 1/10) = 9 – 9/10 = 81/10
\(\frac{1}{2}+\frac{5}{6}+\frac{11}{12}+...+\frac{89}{90}\)
\(=\left(1-\frac{1}{2}\right)+\left(1-\frac{1}{6}\right)+\left(1-\frac{1}{12}\right)+...+\left(1-\frac{1}{90}\right)\)
\(=\left(1-\frac{1}{1.2}\right)+\left(1-\frac{1}{2.3}\right)+\left(1-\frac{1}{3.4}\right)+...+\left(1-\frac{1}{9.10}\right)\)
\(=\left(1+1+1+...+1\right)-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{9.10}\right)\)
9 số 1
\(=9-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\right)\)
\(=9-\left(1-\frac{1}{10}\right)\)
\(=9-\frac{9}{10}\)
\(=\frac{81}{10}\)
Ủng hộ mk nha ^-^
11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99
= (11 + 99) + (22 + 88) + (33 + 77) + (44 + 66) + 55
= 110 + 110 + 110 + 110 + 55
= 110 x 4 + 55
= 440 + 55
= 495
1+2+3+4+5+6
= (1+6) x 3
= 7 x 3
= 21
11+22+33+44+55+66
= (11+66) x 3
= 77 x 3
= 231
11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99
= (11 + 88) + (22 + 77) + (33 + 66) + (44 + 55) + 99
= 99 + 99 + 99 + 99 + 99
= 99 x 5
= 495
11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99
= (11 + 99) + (22 + 88) + (33 + 77) + (44 + 66) + 55
= 110 + 110 + 110 + 110 + 55
= 495
66.(-55)+33.(-90)
=33.2.(-55)+33.(-90)
=33.[2.(-55)]+33.(-90)
=33.(-110)+33.(-90)
=33.[-110+(-90)]
=33.(-200)
=-6600
66 . (-55) + 33 . (-90)
= 33 . 2 (-55) + 33 . (-90 )
= 33 . [ 2.(-55) + ( -90)]
= 33 . (-200)
= -6600