Tích bằng cách hợp lí
a]1\2:0,5-1\4:0,25+1\8:0,125-1\10;0,1
b]5,25+3va4\9+15\27+4,75+3va 1\4+2va3\4
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KBCA11D21
Nhận thấy :
D1ˆ=D2ˆD1^=D2^
Ta có : D1ˆ=90o=B1ˆD1^=90o=B1^
D2ˆ=90o−C1ˆD2^=90o−C1^
→B1ˆ=C1ˆ→B1^=C1^
Xét ΔABKΔABK và ΔACDΔACD
BAKˆ=CADˆ=90oBAK^=CAD^=90o
AB=AC(gt)AB=AC(gt)
B1ˆ=C1ˆB1^=C1^
→ΔABK=ΔACD(g.c.g)→ΔABK=ΔACD(g.c.g)
→AK=AD(đpcm
A)1,1+2,2+3,3+...................+8,8+9,9
=(1,1+9,9)+(2,2+8,8)+..........................+(4,4+6,6)+5,5
= 11+11+11+11+5,5=55+5,5=60,5
b) 1/2:0,5-1/4:0,25+1/8:0,125-1/10:0,1
=1/2 nhân 2-1/4 nhân 4+1/8 nhân 8-1/10 nhân 10
=1-1+1-1=0+0=0
1/2:0,5 - 1/4 ; 0,25 + 1/8 : 0,125 - 1/10 ; 0,1
= 0,5 : 0,5 - 0,25 : 0,25 + 0,125 : 0,125 - 0,1 : 0,1
= 1 - 1 + 1 - 1
= 0 + 1 - 1
= 1 - 1
= 0
Lời giải:
$=\frac{1}{2}\times 2-\frac{1}{4}\times 4+\frac{1}{8}\times 8-\frac{1}{10}\times 10$
$=1-1+1-1=0$
\(\dfrac{1}{4}\) : 0,25 - \(\dfrac{1}{8}\) : 0,125 + \(\dfrac{1}{2}\) : 0,5 - 1
= 0,25 x 4 - 0,125 x 8 + 0,5 x 2 - 1
= 1 - 1 + 1 - 1
= 0 + 1 - 1
= 1 - 1
= 0
A = \(\dfrac{1}{4}\) : 0,25 - \(\dfrac{1}{8}\): 0,125 + \(\dfrac{1}{2}\): 0,5 - 1
A = \(\dfrac{1}{4}\) x 4 - \(\dfrac{1}{8}\) x 8 + \(\dfrac{1}{2}\) x 2 - 1
A = 1 - 1 + 1 - 1
A = (1 - 1) + (1 - 1)
A = 0
\(13,25:0,75+13,25:0,25+13,5:0,325\)
\(=13,25:\left(0,75+0,25+0,325\right)\)
\(=13,25:1,325\)
\(=10\)
\(\dfrac{1}{4}:0,25-\dfrac{1}{8}:0,125+\dfrac{1}{2}:0,5-\dfrac{1}{16}:0,0625\)
\(=\dfrac{1}{4}:\dfrac{1}{4}-\dfrac{1}{8}:\dfrac{1}{8}+\dfrac{1}{2}:\dfrac{1}{2}-\dfrac{1}{16}:\dfrac{1}{16}\)
\(=1-1+1-1\)
\(=0\)
= 0,5 ; 0,5 - 0,25 : 0,25 + 0,125 : 0,125 - 0,1 : 0,1
= 1 - 1 + 1 - 1
= 0
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\(\dfrac{1}{4}:0,25-\dfrac{1}{8}:0,125+\dfrac{1}{2}:0,5-\dfrac{1}{16}:0,0625\\ =0,25:0,25-0,125:0,125+0,5:0,5-0,0625:0,0625\\ =1-1+1-1\\ =0+1-1\\ =1-1\\ =0\)
`a)1/10 + 2/10 + 3/10 + 4/10 + 5/10 + 6/10 + 7/10 + 8/10 + 9/10`
`=(1/10+9/10)+(2/10+8/10)+(3/10+7/10)+(4/10+6/10)+5/10`
`=10/10 + 10/10+10/10+10/10+1/2`
`=1+1+1+1+1/2`
`=2+2+1/2`
`=4+1/2`
`=8/2+1/2`
`=9/2`
__
`13,25:0,5+13,25:0,25+13,25:0,125+13,25×6`
`=13,25×1/(0,5)+13,25×1/(0,25)+13,25×1/(0,125)+13,25×6`
`=13,25×(1/(0,5)+1/(0,25)+1/(0,125)+6)`
`=13,25×(2+4+8+6)`
`=13,25×20`
`=265`
`#QiN`
1/2x2-1/4x4+1/8x8-1/10x10
=1-1+1-1
=0
Nhớ tick nha Đào Mỹ Dung
1/2 : 0,5 - 1/4 : 0,25 + 1/8 : 0,125 - 1/10 : 0,1 = (1/2 : 0,5) - (1/4 : 0,25) + (1/8 : 0,125) - (1/10 : 0,1) = 1 - 1 + 1 - 1 = 0
cre : giangank
\(=\dfrac{1}{4}:\dfrac{1}{4}-\dfrac{1}{8}:\dfrac{1}{8}+\dfrac{1}{2}:\dfrac{1}{2}-\dfrac{1}{10}\)
\(=1-1+1-\dfrac{1}{10}\)
= 0,9