题目内容

脱式计算,能简算的要简算.
①1.64×2.5-0.504÷1.8 ②(
1
2
-
1
3
)÷
7
24
-
1
8
③9.7-3.79+1.3-6.21
④8×
3
7
+
4
7
×8+8
2
9
÷[
8
21
×(
1
3
+
5
12
)]
⑥15÷[(
1
2
+
3
8
)×
5
14
].
分析:①先算乘法、除法,再算减法;
②先算括号内的,再算括号外的除法,最后算减法;
③运用加法交换律与结合率以及减法的性质简算;
④运用乘法分配律简算;
⑤⑥先算小括号内的,再算中括号内的,最后算括号外的.
解答:解:①1.64×2.5-0.504÷1.8,
=4.1-0.28,
=3.82;

②(
1
2
-
1
3
)÷
7
24
-
1
8

=
1
6
×
24
7
-
1
8

=
4
7
-
1
8

=
25
56


③9.7-3.79+1.3-6.21,
=9.7+1.3-(3.79+6.21),、
=11-10,
=1;

④8×
3
7
+
4
7
×8+8,
=8×(
3
7
+
4
7
+1),
=8×2,
=16;

2
9
÷[
8
21
×(
1
3
+
5
12
)],
=
2
9
÷[
8
21
×
3
4
],
=
2
9
÷
2
7

=
2
9
×
7
2

=
7
9


⑥15÷[(
1
2
+
3
8
)×
5
14
],
=15÷[
7
8
×
5
14
],
=15÷
5
16

=15×
16
5

=48.
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律简便计算.
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