题目内容
用简便方法计算(要写出主要简算过程).
1.7+5+3.98; | 17.625-(4.4+7) | 3.35×6.4×2+6.7×3.6 |
0.25×48×1.25 | 3.34-5÷17-×4 | -(-)×9. |
解:(1)1.7+5+3.98,
=1.7+(5+3.98),
=1.7+9,
=10.7;
(2)17.625-(4.4+7),
=17.625-4.4-7,
=17.625-7-4.4,
=10-4.4,
=5.6;
(3)3.35×6.4×2+6.7×3.6,
=(3.35×2)×6.4+6.7×3.6,
=6.7×6.4+6.7×3.6,
=6.7×(6.4+3.6),
=6.7×10,
=67;
(4)0.25×48×1.25,
=0.25×(6×8)×1.25,
=(0.25×6)×(8×1.25),
=1.5×10,
=15;
(5)3.34-5÷17-×4,
=3.34--,
=3.34-(+),
=3.34-1,
=2.34;
(6)-(-)×9,
=-(×9-×9),
=-+,
=.
分析:(1)根据加法结合律进行简算;
(2)17.625减去4.4与7的和,等于分别减去4.4与7;
(3)根据乘法分配律进行简算;
(4)把48拆成6×8,再根据乘法交换律和结合律进行简算;
(5)5÷17=,×4=,再根据连续减去两个数,等于减去这两个数的和进行简算;
(6)根据乘法分配律进行简算.
点评:根据题意,找清运用的运算定律,然后再进一步计算即可.
=1.7+(5+3.98),
=1.7+9,
=10.7;
(2)17.625-(4.4+7),
=17.625-4.4-7,
=17.625-7-4.4,
=10-4.4,
=5.6;
(3)3.35×6.4×2+6.7×3.6,
=(3.35×2)×6.4+6.7×3.6,
=6.7×6.4+6.7×3.6,
=6.7×(6.4+3.6),
=6.7×10,
=67;
(4)0.25×48×1.25,
=0.25×(6×8)×1.25,
=(0.25×6)×(8×1.25),
=1.5×10,
=15;
(5)3.34-5÷17-×4,
=3.34--,
=3.34-(+),
=3.34-1,
=2.34;
(6)-(-)×9,
=-(×9-×9),
=-+,
=.
分析:(1)根据加法结合律进行简算;
(2)17.625减去4.4与7的和,等于分别减去4.4与7;
(3)根据乘法分配律进行简算;
(4)把48拆成6×8,再根据乘法交换律和结合律进行简算;
(5)5÷17=,×4=,再根据连续减去两个数,等于减去这两个数的和进行简算;
(6)根据乘法分配律进行简算.
点评:根据题意,找清运用的运算定律,然后再进一步计算即可.
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