题目内容

(1)75×4.67+17.9×2.5
(2)(
4
7
×1
1
9
×
4
11
)÷(
2
11
×
2
7
×
2
9
)

(3)456÷123×789÷456÷789×123
(4)3
3
4
+
33
4
×1
2
5
-2
2
5
÷120
分析:(1)75=25×5,然后再根据乘法分配律进行简算;
(2)根据除法的性质进行简算;
(3)根据乘法交换律和结合律进行简算;
(4)先算乘法和除法,再算加法,最后算减法.
解答:解:(1)75×4.67+17.9×2.5,
=(25×3)×4.67+1.79×25,
=25×14.01+1.79×25,
=25×(14.01+1.79),
=25×15.8,
=395;

(2)(
4
7
×1
1
9
×
4
11
)÷(
2
11
×
2
7
×
2
9
)

=
4
7
×1
1
9
×
4
11
÷
2
11
÷
2
7
÷
2
9

=(
4
7
÷
2
7
)×(1
1
9
÷
2
9
)×(
4
11
÷
2
11
),
=2×5××2,
=10×2,
=20;

(3)456÷123×789÷789×123,
=(456÷456)×(123÷123)×(789÷789),
=1×1×1,
=1;

(4)3
3
4
+
33
4
×1
2
5
-2
2
5
÷120

=3
3
4
+11.55-0.02
=15.3-0.02,
=15.28.
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律简便计算.
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