計(jì)算下面各題,怎樣計(jì)算簡(jiǎn)便就怎樣計(jì)算.
4.56+3.28+6.72+0.44
57×10187×99+87
84×72+84×29+8462.4-38.85-11.15(68-47)×24÷12.

解:(1)4.56+3.28+6.72+0.44,
=(4.56+0.44)+(3.28+6.72),
=5+10,
=15;

(2)57×101,
=57×(100+1),
=57×100+57×1,
=5700+57,
=5757;

(3)87×99+87,
=87×(99+1),
=87×100,
=8700;

(4)84×72+84×29+84,
=84×72+84×29+84×1,
=84×(72+29+1),
=84×102,
=8568;

(5)62.4-38.85-11.15,
=62.4-(38.85+11.15),
=62.4-50,
=12.4;

(6)(68-47)×24÷12,
=21×24÷12,
=21×(24÷12),
=21×2,
=42.
分析:(1)運(yùn)用加法交換律與結(jié)合律簡(jiǎn)算;(2)(3)(4)運(yùn)用乘法分配律簡(jiǎn)算;(5)根據(jù)連續(xù)減去兩個(gè)數(shù)等于減去這兩個(gè)數(shù)的和來(lái)簡(jiǎn)算;(6)算出第一步括號(hào)的后,運(yùn)用乘法結(jié)合律簡(jiǎn)算.
點(diǎn)評(píng):像(6)這種有除法的題目運(yùn)用乘法結(jié)合律時(shí),結(jié)合在一起的除法一定要能除盡才可以.
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下面各題怎樣算簡(jiǎn)便就怎樣算.
①225-225÷5+301;
1
3
÷
3
4
-
3
4
÷3;
③0.8×[(5-0.86)÷1.2].
④在□里填上合適的數(shù),盡量使計(jì) 算簡(jiǎn)便,然后再計(jì)算.
1
2
+
3
4
-
5
6
)÷□

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