推荐回答(4个)
一定要把括号外的数分别乘括号里的两个数,再把积相加或相减。
(8+40)×25 125×(8+80) 48×(5+100) 24×(2+10) 75×(1000— 2) 15×(40— 8)
例如:
(1)2.64×51.9+264×0.481
=264×0.519+264×0.481
=264×(0.519+0.481)
=264×1
=264
(2)9.16×1.53-0.053×91.6
=9.16×1.53-0.53×9.16
=9.16×(1.53-0.53)
=9.16×1
=9.16
简便计算
简便计算中最常用的方法是乘法分配律。乘法分配律指的是ax(b+c)=axb+axc其中a,b,c是任意实数。相反的,axb+axc=ax(b+c)叫做乘法分配律的逆运用(也叫提取公约数),尤其是a与b互为补数时,这种方法更有用。
也有时用到了加法结合律,比如a+b+c,b和c互为补数,就可以把b和c结合起来,再与a相乘。如将上式中的+变为x,运用乘法结合律也可简便计算。
类型一:(注意:一定要把括号外的数分别乘括号里的两个数,再把积相加或相减。)
(8+40)×25
125×(8+80)
48×(5+100)
24×(2+10)
75×(1000— 2)
15×(40— 8)
类型二:(注意:两个积中相同的因数只能写一次,提出来。)
34×52+34×48
175×23+23×25
63×53+47×63
247×19— 47×19
93×6+93×4
395×118— 18×395
类型三:(提示:把102看作100+2, 81看作80+1,再用乘法分配律。)
78×102
96×102
65×101
58×101
125×81
25×41
类型四:(提示:把99看作100— 1, 把39看作40— 1, 再用乘法分配律。)
31×99
42×98
29×99
85×98
125×79
25×39
类型五:(提示:把83看作1个83,即83×1,再用乘法分配律。)
83+83×99
56+56×99
99×99+99
75×101— 75
125×81— 125
91×31— 91
类型六:(提示:
79×25 + 22×25— 25
35 × 28 + 70
38×7+31×14
46×73+ 46 +46×26
58×43+58×56+ 58
48×27 + 54×27— 27×2
类型一:(注意:一定要把括号外的数分别乘括号里的两个数,再把积相加或相减。)
(8+40)×25
125×(8+80)
48×(5+100)
24×(2+10)
75×(1000— 2)
15×(40— 8)
类型二:(注意:两个积中相同的因数只能写一次,提出来。)
34×52+34×48
175×23+23×25
63×53+47×63
247×19— 47×19
93×6+93×4
395×118— 18×395
类型三:(提示:把102看作100+2, 81看作80+1,再用乘法分配律。)
78×102
96×102
65×101
58×101
125×81
25×41
类型四:(提示:把99看作100— 1, 把39看作40— 1, 再用乘法分配律。)
31×99
42×98
29×99
85×98
125×79
25×39
类型五:(提示:把83看作1个83,即83×1,再用乘法分配律。)
83+83×99
56+56×99
99×99+99
75×101— 75
125×81— 125
91×31— 91
类型六:(提示:
79×25 + 22×25— 25
35 × 28 + 70
38×7+31×14
46×73+ 46 +46×26
58×43+58×56+ 58
48×27 + 54×27— 27×2
158+262+138
375+219+381+225
5001-247-1021-232
(181+2564)+2719
378+44+114+242+222
276+228+353+219
(375+1034)+(966+125)
(2130+783+270)+1017
99+999+9999+99999
7755-(2187+755)
2214+638+286
3065-738-1065
899+344
2357-183-317-357
2365-1086-214
497-299
2370+1995
3999+498
1883-398
12×25
75×24
138×25×4
(13×125)×(3×8)
(12+24+80)×50
704×25
25×32×125
32×(25+125)
88×125
102×76
58×98
178×101-178
84×36+64×84
75×99+2×75
83×102-83×2
98×199
123×18-123×3+85×123
50×(34×4)×3
25×(24+16)
178×99+178
79×42+79+79×57
7300÷25÷4
8100÷4÷75
16800÷120
30100÷2100
32000÷400
49700÷700
1248÷24
3150÷15
4800÷25
21500÷125
2356-(1356-721)
1235-(1780-1665)
75×27+19×2 5
31×870+13×310
4×(25×65+25×28)
(1)(78+61)+39 (2)700-82-18
(3)348+163+242+410+537
(4)125×47-47×25 (5)201×316
(6)374-205+226-95 (7)3000-999
(8)997×7+21 (9)87×470+870×53
(10)(55+55+55+55×5)×125
(11)125×(8+40)×25 (12)99+49×99
(13)264×97+4×264
(14)454+999×999+545
(15)9999×36+6666×3×32
(16)124×38+65×124+76×110-76×7
(17)62×4+44×5+5×18
(18)3400-62×34-38×20-38×14
(19)1992×19911991-1991×19901990
(20(2+4+6+……+100)-(1+3+5+……+99)
1. 2.73 + 0.89 + 1.27
2. 4.37 + 0.28 + 1.63 + 5.72
1. 10 - 0.432 - 2.568
2. 9.3 - 5.26 - 2.74
3. 13.4-(3.4+5.2)
4. 14.9-(5.2+4.9)
5. 18.32 - 5.47 - 4.32
6. 17.29 - 5.28 - 6.29
1. 25 × 6.8 × 0.04
2. 0.25 × 32 × 0.125
3. 6.4 × 1.25 × 12.5
1. 0.45 × 201
2. 0.58 × 10.1
3. 50.2 × 99
4. 4.7 × 9.9
5. 3.28 × 5.7 + 6.72 × 5.7
6. 2.1 × 99 + 2.1
7. 1.7 × 9.9 + 0.17
8. 23 × 0.1 + 2.3 × 9.9
1. 0.18 +4.26 -0.18 +4.26 ☆
2. 0.58 ×1.3 ÷ 0.58 ×1.3 ☆
3. 7.3 ÷4 + 2.7 × 0.25 ☆
4. 3.75 × 0.5 - 2.75 ÷ 2 ☆
5. 5.26 × 0.125 + 2.74 ÷ 8 ☆
a ÷ b ÷ c = a ÷ (b × c)
6. 6.3 ÷ 1.8
7. 4.2 ÷ 3.5
8. 9.5 ÷(1.9 × 8)
9. 12.8 ÷ (0.4 × 1.6)
10. 930 ÷ 0.6 ÷5
11. 63.4 ÷ 2.5 ÷ 0.4
12. (7.7 + 1.54)÷ 0.7
13. (11.7 + 9.9)÷ 0.9
希望您能采用.
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