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a) 22.85 + 15.22 - 20200
= 4.85 + 15.4 – 1
= 4.(85 + 15) – 1
= 4.100 – 1
= 400 – 1
= 399
b) 50 + [65 - (9 - 4)2]
= 50 +
= 50 + [65 – 25]
= 50 + 40
= 90
c) (39 - 19) : (-2) + (34 - 22).5
= 20 : (-2) + 12.5
= -10 + 60
= 50
d) 123.456 + 456.321 – 256.444
= 456.(123 + 321) – 256.444
= 456.444 – 256.444
= 444.(456 – 256)
= 444
\(a,\dfrac{2}{3}-\dfrac{5}{6}+\dfrac{3}{4}\)
\(=(\dfrac{2}{3}+\dfrac{3}{4})-\dfrac{5}{6}\)
\(=\dfrac{7}{12}\)
\(b,\dfrac{6}{7}.\dfrac{8}{13}+\dfrac{6}{13}.\dfrac{9}{7}-\dfrac{-4}{13}.\dfrac{6}{7}\)
\(=\dfrac{6}{7}.(\dfrac{8}{13}-\dfrac{4}{13})+(\dfrac{6}{13}.\dfrac{9}{7})\)
\(=(\dfrac{6}{7}.\dfrac{4}{13})+\dfrac{54}{91}\)
\(=\dfrac{24}{91}+\dfrac{54}{91}\)
\(=\dfrac{78}{91}=\dfrac{6}{7}\)
\(c,19.(-26)\)
\(=-494\)
a) `2/3 - 5/6 +3/4`
`=4/6-5/6+3/4`
`=-1/6+3/4`
`=-4/24+18/24`
`=14/24=7/12`
b) `6/7 .8/13 +6/13 .9/7 -4/13 .6/7`
`=6/7 .(8/13-4/13) + 6/13 .9/7`
`=6/7 . 4/13 + 6/13 . 9/7`
`= 6/13 .4/7 +6/13 .9/7`
`=6/13 . (4/7+9/7)`
`=6/13 . 13/7`
`=6/7`
c) `19.(-26)`
`=(1-20).(20+6)`
`=20+6-400-120`
`=-494`
a) 22.85 + 15.22 - 20200
= 22. (85+15) - 20200
= 22.100 - 20200
= 2200 - 20200
= -18000
b) 50 + [65 - (9 - 4)2]
= 50 + [65 - 5.2] =50 + [65 - 10] = 50 + 55 = 105
c) (39 - 19) : (-2) + (34 - 22).5
= 20: (-2) + 12 .5
= -10 + 60 = 50
d) 123.456 + 456.321 – 256.444
= 456. (123 + 321) - 444.256
= 444.456 - 444. 256
= 444. (456 - 256)
= 444. 200 = 88800
a: =1/6+14/6-3/6=12/6=2
b: =-13/8+5/4:(-5/4)
=-13/8-1=-21/8
c: =-3/8(2/5+14/5)
=-3/8*16/5
=-6/5
d: =5/34(1/4+11/9-2/9+29/4)
=5/34*(15/2+1)
=5/34*17/2
=5/4
A) 410 . 815 = (22)10 . (23)15 = 220 . 245 = 220+45=265
B) 415 . 530 = (22)15 . 530 = 230 . 530 = (2 . 5)30 = 1030
C) 2716 : 910 = (33)16 : (32)10 = 348 : 320 = 348-20=328