题目内容

用你喜欢的方法计算下面各题.
①23.8-
7
9
+6.2-
11
9

②37.5+12.5÷2.5×4
(
7
9
+
2
3
×
5
6
4
15

(
5
17
+
4
13
)×13×17

⑤125×3.2×25
⑥777×
7
100
+444×0.09+333×0.05
分析:(1)运用加法结合律以及减法性质解答,
(2)(3)依据四则运算计算方法,先算第二级运算,再算第一级运算,如果只含有同一级运算,按照从左到右顺序计算,有括号先算括号里面的解答.
(4)(6)运用乘法分配律解答,
(5)化3.2=8×0.4,再运用乘法结合律解答.
解答:解:(1)23.8-
7
9
+6.2-
11
9

=(23.8+6.2)-(
7
9
+
11
9
),
=30-2,
=28;

(2)37.5+12.5÷2.5×4,
=37.5+5×4,
=37.5+20,
=57.5;

(3)(
7
9
+
2
3
×
5
6
4
15

=(
7
9
+
5
9
÷
4
15

=
4
3
÷
4
15

=5;

(4)(
5
17
+
4
13
)×13×17

=
5
17
×13×17+
4
13
×13×17,
=65+68,
=133;

(5)125×3.2×25,
=(125×8)×(0.4×25),
=1000×10,
=10000;

(6)777×
7
100
+444×0.09+333×0.05

=111×(7×
7
100
+4×0.09+3×0.05),
=111×(0.49+0.36+0.15),
=111×1,
=111.
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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