(2013•江油市模拟)计算,能简算的要简算
1个回答

解题思路:(1)根据乘法分配律进行简算;

(2)根据乘法分配律进行简算;

(3)先算除法,再根据减法的性质进行简算;

(4)先算加法,再算乘法,最后算除法;

(5)100-98=2,96-94=2,92-90=2,…8-6=2,4-2=2,一共有25个2相加.

(1)([1/15]-[1/51])×17×5

=[1/15]×17×5-[1/51]×17×5

=[17/3]-[5/3]

=4;

(2)6.75×2.4+4.25×2.4-2.4

=(6.75+4.25-1)×2.4

=10×2.4

=24;

(3)2-[6/13]÷[9/26]-[2/3]

=2-[4/3]-[2/3]

=2-([4/3]+[2/3])

=2-2

=0;

(4)[9/20]÷[[1/2]×([2/5]+[4/5])]

=[9/20]÷[[1/2]×[6/5]]

=[9/20]÷[3/5]

=[3/4];

(5)100-98+96-94+92-90+…+8-6+4-2

=(100-98)+(96-94)+(92-90)+…+(8-6)+(4-2)

=2+2+2+…+2+2

=25×2

=50.

点评:

本题考点: 分数的简便计算;加减法中的巧算.

考点点评: 考查了运算定律与简便运算,四则混合运算.注意运算顺序和运算法则,灵活运用所学的运算定律简便计算.