1樓:數學愛好者
(1/2 1/3)x1/5 1/3簡便運算解題思路:簡便運算核心是運用加法和乘法各種定律進行計算版,計算出整數部權分方便後續計算的過程
解題過程:
(1/2+1/3)x1/5+1/3=
1/10+1/15+1/3=
3/30+2/30+10/30=
15/30=1/2
存疑請追問,滿意請採納
2樓:一股情流
那麼這道題可以用乘法分配律進行簡便計算,等於1/2×5分加1/3再乘以1/3,這樣基本就比較簡便了
4×(-1/2+1/3-1/4-1/5)×(-5)有簡便方法運算嗎
3樓:徐少
37/3
解析zhi:dao
版 4×權(-1/2+1/3-1/4-1/5)×(-5)=(-1/3)×[(-1/2+1/3-1/4-1/5)×60]=(-1/3)×(-30+20-15-12)=(-1/3)×(-37)
=37/3
(1/2+1/3+1/4+1/5)*(1/3+1/4+1/5+1/6)-(1/2+1/3+1/4+1/5+1/6)*(1/3+1/4+1/5) 要簡便運算 5
4樓:匿名使用者
你好設+1/3+1/4+1/5=a,則
(1/2+a)(a+1/6)-(1/2+a+1/6)*a=1/2a+a2 +1/12+1/6a-(1/2a-a2 +1/6a)
=1/12
如果本題有什麼不明白可以追問,如果滿意記得采納祝學習進步!
5樓:匿名使用者
想1/2+1/3+1/4+1/5為a,1/3+1/4+1/5為b,可寫成
a*(b+1/6)-(a+1/6)*b
=(ab+1/6a)-(ab+1/6b)
=ab+1/6a-ab-1/6b
=1/6a-1/6b
=(1/2+1/3+1/4+1/5)*1/6-(1/3+1/4+1/5)*1/6
=(1/2+1/3+1/4+1/5-1/3-1/4-1/5)*1/6=1/12
6樓:匿名使用者
設a=1/2+1/3+1/4+1/5 b=1/3+1/4+1/5+1/6
則 原式=ab-(a+1/6)*(b-1/6)=1/6 (a-b+1/6)
=1/6 (1/2-1/6+1/6)
=1/12
7樓:血匙
=(1/2+1/3+1/4+1/5)*1/6-1/6*(1/3+1/4+1/5)=1/2*1/6=1/12
1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7 簡便運算怎麼算?請詳細分解運算過程,謝謝
8樓:暖光小圖
1/m(m+1)=1/m-1/(m+1)
原式zhi
dao=(1/1-1/2)+(
版1/2-1/3)
權+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)
=1/1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7
=1-1/7
=6/7
9樓:¢不二月嵐
1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7
=1-1/7
=6/7
(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/6)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)簡便運算 過程
10樓:匿名使用者
(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)
=(1+1/2+1/3+1/4)*(1/2+1/3+1/4)+(1/5)*(1/2+1/3+1/4)
所以:(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/6)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)
=(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/6)-[(1+1/2+1/3+1/4)*(1/2+1/3+1/4)+(1/5)*(1/2+1/3+1/4)]
=(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/6)-(1+1/2+1/3+1/4)*(1/2+1/3+1/4)-(1/5)*(1/2+1/3+1/4)
=(1+1/2+1/3+1/4)*[1/2+1/3+1/4+1/6-(1/2+1/3+1/4)]-(1/5)*(1/2+1/3+1/4)
=(1+1/2+1/3+1/4)*(1/6)-(1/5)*(1/2+1/3+1/4)
再把前一項這個搞一次咯。
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