85.12,7 + 5.3.12,7
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
85.12,7 + 5.3.12,7
= 12,7.(85 + 5.3)
= 12,7. ( 85 + 15)
= 12,7.100 = 1270
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Kết quả 1270.
b) Kết quả 840. Chú ý: 840.0,155 = 8,4.15,5.
c) Kết quả 1300.
Chú ý: 0,78.1300 = 78.13; 50.6,5 = 25.13; 39 = 3.13.
d) Kết quả -72. Chú ý: 0,12.90 = 6.18; 110.0,6 = 11.6; 36 = 6.6.
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\text{∘ Ans}\)
\(\downarrow\)
`1,`
`86.15 + 150. 1,4`
`= 86. 15 + 15. 14`
`= 15.(86 + 14)`
`= 15.100`
`= 1500`
`2,`
`93.32 + 14.16`
`= 93.32 + 2.7.16`
`= 93.32 + 32.7`
`= 32.(93 + 7)`
`= 32.100`
`= 3200`
`3,`
\(98,6\cdot199-990\cdot9,86\)
`=`\(98,6\cdot199-99\cdot98,6\)
`=`\(98,6\cdot\left(199-99\right)\)
`=`\(98,6\cdot100\)
`=`\(9860\)
`4,`
\(85\cdot12,7+5\cdot3\cdot12,7?\)
`=`\(85\cdot12,7+15+12,7\)
`=`\(12,7\cdot\left(85+15\right)\)
`=`\(12,7\cdot100\)
`= 1270`
`5,`
\(0,12\cdot90-110\cdot0,6+36-25\cdot6?\)
\(=6\cdot1,8-11\cdot6+6\cdot6-25\cdot6\)
\(=6\cdot\left(1,8-11+6-25\right)\)
\(=6\cdot\left(-28,2\right)=-169,2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
3A:
a: \(75\cdot20.9+5^2\cdot20.9\)
\(=20.9\cdot100\)
=2090
b: \(86\cdot15+150\cdot1.4\)
\(=86\cdot15+15\cdot14\)
\(=15\cdot100=1500\)
c: \(93\cdot32+14\cdot16\)
\(=93\cdot32+32\cdot7\)
=3200
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 85.12,7+5,3.12,7
=12,7(85+5,3)=1146,81
b) 52.143-52.39-8.26
=52.(143-39)-208
= 5200
=
tính nhanh
85.12,7+5.3.12,7
52.143-52.39-8.26
phân tích thành nhân tử
5X-20Y
5x(x-1)-3x(x-1)
x(x+y)-5x-5y
![](https://rs.olm.vn/images/avt/0.png?1311)
tính nhanh .
a) 85 .12,7 + 5.3.12,7 = 12,7 . ( 85 + 5.3 ) = 12,7 . (85+15) = 12,7 . 100 = 1270
b) 52.143 - 52.39 - 8.26 = 52.143 - 52.39 - 4.2.26 = 52.143 - 52.39 - 4.52 = 52.( 143 -39 - 4 ) = 52 . 100 = 5200
phân tích :
5x - 20y = 5 .(x - 4y)
5x(x-1)-3x.(x-1) = (x-1).(5x-3x) = 2x(x-1) hoặc 5x(x-1)-3x(x-1) = x(x-1)(5-3) = 2x(x-1)
x.(x+y)-5x-5y = x(x+y) - 5 (x+y) = (x+y)(x-5)
![](https://rs.olm.vn/images/avt/0.png?1311)
a, 36.28+36.82 +64.69+64.41
=36(28+82)+64(69+41)
=36.110+64.110
=110(36+64)
=110.100
=11000
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(26^2+52.24+24^2=26^2+2.26.24+24^2\)
= \(\left(26+24\right)^2=50^2=2500\)
b) \(52^2+47^2+94.52\) ( câu này sai đề sửa luôn)
= \(52^2+2.47.52+47^2=\left(52+47\right)^2=99^2\)
= \(9801\)
c) \(50^2-49^2+48^2-47^2+...+2^2-1^2\)
= \(\left(50-49\right)\left(50+49\right)+\left(48-47\right)\left(48+47\right)+...+\left(2-1\right)\left(2+1\right)\)
= \(99+95+...+3\)
Dãy số này có : \(\dfrac{99-3}{4}+1=\dfrac{96}{4}+1=25\) số hạng
\(\Rightarrow\) \(99+95+...+3\) = \(\left(99+3\right).25:2=1275\)
d) \(87^2+26.87+13^2=87^2+2.13.87+13^2\)
\(=\left(87+13\right)^2=100^2=10000\)
e) \(3003^2-3^2=\left(3003-3\right)\left(3003+3\right)\)
= \(3000.3006=9018000\)
\(a,26^2+52\cdot24+24^2\\ =26^2+2\cdot26\cdot24+24^2\\ =\left(26+24\right)^2\\ =50^2\\ =2500\)
\(b,53^2+47^2+94\cdot53\\ =53^2+2\cdot47\cdot53+47^2\\ =\left(53+47\right)^2\\ =100^2\\ =10000\)
\(c,50^2-49^2+48^2-47^2+...+2^2-1^2\\ =\left(50+49\right)\left(50-49\right)+\left(48+47\right)\left(48-47\right)+...+\left(2+1\right)\left(2-1\right)\\ =99\cdot1+97\cdot1+...+3\cdot1\\ =99+97+...+3\\ \)
\(99+97+...+3\) có số số hạng là \(\dfrac{99-3}{2}+1=49\)(số)
\(\Rightarrow99+97+...+3=\dfrac{\left(99+3\right)\cdot49}{2}=2499\)
\(d,87^2+26\cdot87+13^2\\ =87^2+2\cdot13\cdot87+13^2\\ =\left(87+13\right)^2\\ =100^2\\ =10000\)
\(e,3003^2-3^2\\ =\left(3003+3\right)\left(3003-3\right)\\ =3006\cdot3000\\ =9018000\)
\(f,85\cdot12,7+5\cdot3\cdot12,7\\ =85\cdot12,7+15\cdot12,7\\ =12,7\cdot\left(85+15\right)\\ =12,7\cdot100\\ =1270\)
\(\text{Chúc bạn học tốt}\)
cách làm:
85.12,7 + 5.3.12,7
= 12,7.(85 + 5.3)
= 12,7. ( 85 + 15)
= 12,7.100 = 1270 đây đc chưa
ớ hớ hớ :)))