Tính bằng cách thuận tiện nhất:
a. 4345 : 126 + 3845 : 126 b. 24563 : 126 – 12215 : 126
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126+162+216+261+612+621
=(126+162)+(216+261)+(612+621)
=288+477+1233
=1998
126 : 3 + 231 : 3 + 543 : 3
= ( 126 + 231 + 543 ) : 3
= 900 : 3
= 300
126 : 3 + 231 : 3 + 543 : 3
= \(126.\frac{1}{3}+231.\frac{1}{3}+543.\frac{1}{3}\)
=\(\frac{1}{3}\left(126+231+543\right)=\frac{1}{3}.900=300\)
A=\(\frac{3}{9.6}+\frac{5}{2.7.9}+\frac{7}{6.7.7}+\frac{8}{3.7.29}\) = \(\frac{1}{18}+\frac{5}{7.18}+\frac{1}{6.7}+\frac{8}{3.7.29}\)
= \(\frac{7+5}{7.18}+\frac{1}{6.7}+\frac{8}{3.7.29}\)=\(\frac{2}{7.3}+\frac{1}{6.7}+\frac{8}{3.7.29}\)= \(\frac{1}{3.7}.\)(\(\frac{2}{1}+\frac{1}{2}+\frac{8}{29}\))=
=\(\frac{1}{21}.\)(\(\frac{116+29+16}{58}\))=\(\frac{1}{21}.\frac{161}{58}=\frac{161}{1218}\)
a) = (360 + 126 + 123) : 3 = 203
b) = (436 + 164 - 200) : 4 = 100
c) = (525 + 120 - 145) : 5 = 100
a) 23,5 x 34 + 45 x 23,5 + 3 x 23,5 x 7
= 23,5 x (34 + 45 + 3 x 7)
= 23,5 x (34 + 45 + 21)
=23,5 x 100
= 235.
b) 126 x 56 + 252 x 0,5 x 35 + 42 x 3 x 9
= 42 x 3 x 56 + 126 x 35 + 42 x 3 x 9
= 42 x 168 + 42 x 3 x 35 + 42 x 3 x 9
= 42 x 168 + 42 x 105 + 42 x 27
= 42 x (168 + 105 + 27)
= 42 x 300
= 12600
\(\frac{2006\times125+1000}{126\times2006-1006}=\frac{2006\times125+1000}{\left(125+1\right)\times2006-1006}=\frac{2006\times125+1000}{2006\times125+2006\times1-1006}\)
\(=\frac{2006\times125+1000}{2006\times125+1000}=1\)
\(\frac{2006.125+1000}{126.2006-1006}=\frac{2006.125+1000}{\left(125+1\right).2006-1006}=\frac{2006.125+1000}{125.2006+1.2006-1006}=\frac{2006.125+1000}{125.2006+1000}=1\)
\(a.=\left(4345+3845\right):126\\ =8190:126=65\\ b.=\left(24563-12215\right):126\\ =12348:126=98\)
\(a,4345:126+3845:126=\left(4345+3845\right):126=8190:126=65\\ b,24563:126-12215:126=\left(24563-12215\right):126=12348:126=98\)