题目内容
怎样简便就怎样计算.
| 55+260+140+245 | 102×99 | 645-180-245 |
| 382×101-382 | 35×8+35×6-4×35. |
分析:(1)运用加法交换了和结合律简算;
(2)先把102分解成100+2,再运用乘法分配律简算;
(3)根据减法的性质简算;
(4)(5)运用乘法分配律简算.
(2)先把102分解成100+2,再运用乘法分配律简算;
(3)根据减法的性质简算;
(4)(5)运用乘法分配律简算.
解答:解:(1)55+260+140+245,
=(55+245)+(260+140),
=300+400,
=700;
(2)102×99,
=(100+2)×99,
=100×99+2×99,
=9900+198,
=10098;
(3)645-180-245,
=645-245-180,
=400-180,
=220;
(4)382×101-382,
=382×(101-1),
=382×100,
=38200;
(5)35×8+35×6-4×35,
=35×(8+6-4),
=35×10,
=350.
=(55+245)+(260+140),
=300+400,
=700;
(2)102×99,
=(100+2)×99,
=100×99+2×99,
=9900+198,
=10098;
(3)645-180-245,
=645-245-180,
=400-180,
=220;
(4)382×101-382,
=382×(101-1),
=382×100,
=38200;
(5)35×8+35×6-4×35,
=35×(8+6-4),
=35×10,
=350.
点评:此题是考查四则混合运算,要仔细观察算式的特点,灵活运用一些定律进行简便计算.
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