用简便方法计算下列各题 1. 3/4+1/2÷4/5+3/8 2. 9/13÷7+1/7×5/13 3. 3-3/2×10/21-2/7

作者&投稿:漕欣 (若有异议请与网页底部的电邮联系)
简便方法计算 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24.......+100=~

(1+100)*100/2=5050

按照顺序将该算式以四个数为单位分组,即:
1,2,3,4为一组;5,6,7,8为一组,,,依次类推,这样分成了5组还余下了21和22两个数。被分组的各族数字都有这样的一个特点,即后边两个数的和与前面两个数的和之差都是4,照样5组算下来计算结果为(-4)*5=-20
所以最后结果就是21+22-20咯

1. 3/4+1/2÷4/5+3/8
=3/4+1/2*5/4+3/8
=3/4+5/8+3/8
=3/4+(5/8+3/8)
=3/4+1
=7/4

2. 9/13÷7+1/7×5/13
=9/13*1/7+1/7×5/13
=1/7*(9/13+5/13)
=1/7*14/13
=2/13

3. 3-3/2×10/21-2/7
=3-5/7-2/7
=3-(5/7+2/7)
=3-1
=2

3/4+1/2÷4/5+3/8=3/4+(5/8+3/8)=7/4
9/13÷7+1/7×5/13=9/13÷7+5/13÷7=(9/13+5/13)÷7=2/13
3-3/2×10/21-2/7=3-5/7-2/7=3-(5/7+2/7)=2

1. =3/4+1/2* 4/5+3/8 =3/4+(5/8+3/8) =7/4
2. =1/7(9/13+ 5/13) =1/7* 14/13= 2/13
3. = -5/7 - 2/7 = -1


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