题目内容
计算,能简算的要简算. ①36.25×101-36.25 | ②-(-)+ |
③36×+36× | ④0.75-+ |
⑤-(+) | ⑥3+0.6+0.625+. |
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×+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.
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