脱式计算,能简算的要简算.(1)3-(12.9-84×[1/7])
1个回答

解题思路:(1)(4)(11)(12)根据四则混合运算中,有括号的先算括号里面的,再算括号外面的计算即可;

(2)(3)根据乘法的交换律与结合律解答即可;

(5)(6)(8)(10)根据乘法的分配律解答即可;

(7)根据减法的性质以及加法的结合律简算;

(9)根据除法的性质以及乘法的交换律与结合律简算.

(1)3-(12.9-84×[1/7])

=3-(12.9-12)

=3-0.9

=2.1

(2)44.4×25

=11.1×(4×25)

=11.1×100

=1110

(3)[40/13]×(26×[3/40])

=([40/13]×[3/40])×26

=[3/13×26

=6

(4)2-[

1

6]+([3/4]-[7/10])]

=2-[[1/6]+[1/20]]

=2-[13/60]

=1[47/60]

(5)7.25×1.8+27.5×0.18

=7.25×1.8+2.75×1.8

=(7.25+2.75)×1.8

=10×1.8

=18

(6)905×99+905

=905×(99+1)

=905×100

=90500

(7)[([14/19]-[5/13])+([5/19]-[8/13])]÷[11/12]

=[([14/19]+[5/19])-([5/13]+[8/13])]÷[11/12]

=[1-1]÷

11

12

=0÷

1

12

=0

(8)34×([1/17]+[1/13])×13

=34×13×[1/17]+[1/13]×13×34

=26+34

=60

(9)2000÷12.5÷25÷0.8÷4

=2000÷(12.5×25×0.8×4)

=2000÷[(12.5×0.8)×(25×4)]

=2000÷1000

=2

(10)[2/5]×[11/15]+[2/5]÷[15/4]

=[2/5]×[11/15]+[2/5]×[4/15]

=[2/5]×([11/15]+[4/15])

=[2/5×1

=

2

5]

(11)[([4/5]-[1/4])×[6/11]]÷[9/20]

=[[11/20]×[6/11]]÷[9/20]

=[3/10×

20

9]

=[2/3]

(12)([1/2]+[1/4])÷([4/5]÷4-[1/10])

=[3/4]÷([1/5]-[1/10])

=[3/4÷

1

10]

=[15/2]

点评:

本题考点: 整数、分数、小数、百分数四则混合运算;运算定律与简便运算.

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.