tính nhanh
3.28+8.7+5.28=
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a) \(53.39+47.39-53.21-47.21\)
\(=39\left(53+47\right)-21\left(53+47\right)\)
\(=39.100-21.100\)
\(=3900-2100=1800\)
b) \(\left(252+2.28-5.28\right):28\)
\(=\left(9.28+2.28-5.28\right):28\)
\(=28\left(9+2-5\right):28\)
\(=28.6:28\)
\(=6\)
\(A=2\left(1.30+2.29+3.28+...+15.16\right)=\)
\(=2.\left[1.30+2.\left(30-1\right)+3.\left(30-2\right)+...+15.\left(30-14\right)\right]=\)
\(=2.\left(1.30-1.2+2.30+3.30-2.3+4.30-3.4+...+15.30-14.15\right)=\)
\(=2.\left[30.\left(1+2+3+...+15\right)-\left(1.2+2.3+3.4+...+14.15\right)\right]=\)
Đặt \(B=1+2+3+...+15=\frac{15.\left(1+15\right)}{2}=120\)
Đặt \(C=1.2+2.3+3.4+...+14.15\)
\(\Rightarrow3C=1.2.3+2.3.3+3.4.3+...+14.15.3=\)
\(=1.2.3+2.3.\left(4-1\right)+3.4.\left(5-2\right)+...+14.15.\left(16-13\right)=\)
\(=1.2.3-1.2.3+2.3.4-2.3.4+3.4.5-...-13.14.15+14.15.16=14.15.16\)
\(\Rightarrow C=\frac{14.15.16}{3}=5.14.16=1120\)
\(\Rightarrow A=2.\left(30.B-C\right)=2\left(30.120-1120\right)=4960\)
( 112 + 2.28-5.28) : 28
= ( 4.28 + 2.28 - 5.28 ) : 28
= ( 6.28-5.28 ) : 28
= 28 : 28
= 1
(28.9 + 2.28 - 5.28) : 28
=( 9 + 2 - 5) .28 : 28
= 6.(28:28)
= 6
=5.4+6.5+7.6+8.7-4.4-5.5-6.6-7.7
=(5,4 - 4,4)+(6,5-5,5)+(7,6-6.6)+(8,7-7,7)
=1+1+1+1
=4
=(112+(2-5).28):28
=(112+(-84)):28
=28:28
=1
\(\left(112+2\cdot28-5\cdot28\right):28\)
\(=\left(4\cdot28+2\cdot28-5\cdot28\right):28\)
\(=28\cdot\left(4+2-5\right):28\)
\(=1\cdot\left(6-5\right)\)
\(=1\cdot1\)
\(=1\)
3 . 28 + 8 . 7 + 5 . 28
= 28 . ( 3 + 5 ) + 8 . 7
= 28 . 8 + 8 . 7
= 8. ( 28 + 7 )
= 8 . 35 = 280
3 . 28 + 8 . 7 + 5 . 28
= 28 . ( 3 + 5 ) + 8 . 7
= 28 . 8 + 8 . 7
= 8. ( 28 + 7 )
= 8 . 35 = 280