题目内容

计算下面各题,能简算的要简算.
①7.6×0.8+0.42
②3.2×1.25×0.25 ③7.8×1.01
④1.36+0.7×5.4
8
9
-(
1
4
-
1
9
)-
3
4
19
21
+
5
7
-
3
14
分析:①④先算乘法,再算加法;
②根据数字特点,把3.2看作4×0.8,运用乘法交换律与结合律简算;
③把1.01看作1+0.01,运用乘法分配律简算;
⑤运用减法的性质以及加法交换律与结合律简算;
⑥通分计算.
解答:解:①7.6×0.8+0.42,
=6.08+0.42,
=6.5;

②3.2×1.25×0.25,
=4×0.8×1.25×0.25,
=(4×0.25)×(0.8×1.25),
=1×1,
=1;

③7.8×1.01,
=7.8×(1+0.01),
=7.8+0.078,
=7.878;

④1.36+0.7×5.4,
=1.36+3.78,
=5.14;

8
9
-(
1
4
-
1
9
)-
3
4

=
8
9
-
1
4
+
1
9
-
3
4

=(
8
9
+
1
9
)-(
3
4
+
1
4
),
=1-1,
=0;

19
21
+
5
7
-
3
14

=
38
42
+
30
42
-
9
42

=
59
42
点评:考查了四则混合运算,注意运算顺序和运算法则,灵活运用所学的运算定律进行简便计算.
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