题目内容
| 计算,能简算的要简算. ①36.25×101-36.25 | ② |
| ③36× | ④0.75- |
| ⑤ | ⑥3 |
解:①36.25×101-36.25,
=(101-1)×36.25,
=100×36.25,
=3625;
②
-(
-
)+
,
=
-
+
+
,
=(
)+(
),
=1+
,
=1
;
③36×
+36×
,
=(
)×36,
=1×36,
=36;
④0.75-
+
,
=0.75+
-
,
=1-
,
=
;
⑤
-(
+
),
=
,
=0-
,
=-
;
⑥3
+0.6+0.625+
,
=(3
+0.625)+(0.6+
),
=4+1,
=5.
分析:(1)(3)运用乘法分配律解答,
(2)先运用减法性质,再运用加法交换律和加法结合律解答,
(4)运用加法交换律解答,
(5)运用减法性质解答,
(6)运用加法交换律和加法结合律解答.
点评:正确选择并运用简便算法是解答本题的关键.
=(101-1)×36.25,
=100×36.25,
=3625;
②
=
=(
=1+
=1
③36×
=(
=1×36,
=36;
④0.75-
=0.75+
=1-
=
⑤
=
=0-
=-
⑥3
=(3
=4+1,
=5.
分析:(1)(3)运用乘法分配律解答,
(2)先运用减法性质,再运用加法交换律和加法结合律解答,
(4)运用加法交换律解答,
(5)运用减法性质解答,
(6)运用加法交换律和加法结合律解答.
点评:正确选择并运用简便算法是解答本题的关键.
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