Tính nhanh nếu có thể : -199(24-99) + 99(24-99) Giúp mình giải với, Thanks nhiều
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Tính nhanh:
a, 54 * 113 *45 +113
= 113 x 54 x 45 + 113 x 1
= 113 x 2430 + 113 x 1
= 113 x ( 2430 + 1 )
= 113 x 2431
= 274703.
b, 24 * 3 - 12 *5
= 12 x 2 x 3 - 12 x 5
= 12 x 6 - 12 x 5
= 12 x ( 6 - 5 )
= 12 x 1
= 12.
c, (145 * 99 + 145) - (143 *101 -143)
= ( 145 x 99 + 145 x 1 ) - ( 143 x 101 - 143 x 1 )
= 145 x ( 99 + 1 ) - 143 x ( 101 - 1 )
= 145 x 100 - 143 x 100
= 14500 - 14300
= 200.
54 x 113 x 45 + 133
=113 x 54 x 45 + 113 x 1
=113 x 2340 + 113 x 1
=113 x (2340 +1)
=113 x 2431
=274703
chúc bạn học good
1: \(=-145\cdot13+145\cdot57+57\cdot10-57\cdot145=-1315\)
2: \(=17\cdot15-17\cdot16+16\cdot17-16\cdot20=255-320=-65\)
3: \(=-38\cdot25+38\cdot4-25\cdot4+25\cdot38=13\cdot4=52\)
4: \(=23\cdot145-23\cdot17-145\cdot23+145\cdot6=479\)
5: \(=24\cdot15-24\cdot4+4\cdot24-4\cdot15=360-60=300\)
6: \(=199\left(15-17+17-5\right)=199\cdot10=1990\)
7: \(=-39\cdot5+39\cdot99+99\cdot10-99\cdot39=795\)
\(\frac{1}{99}-\frac{1}{99.98}-\frac{1}{98.97}-....-\frac{1}{3.2}\)
=\(\frac{1}{99}-\left(\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{98.99}\right)\)
=\(\frac{1}{99}-\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{98}-\frac{1}{99}\right)\)
=\(\frac{1}{99}-\left(\frac{1}{2}-\frac{1}{99}\right)\)
=\(\frac{1}{99}-\frac{97}{198}\)
=\(\frac{-95}{198}\)
\(A=20\times21+21\times22+...+99\times100\)
\(3\times A=20\times21\times\left(22-19\right)+21\times22\times\left(23-20\right)+...+99\times100\times\left(101-98\right)\)
\(=20\times21\times22-19\times20\times21+...+99\times100\times101-98\times99\times100\)
\(=99\times100\times101-19\times20\times21\)
Suy ra \(A=\frac{99\times100\times101-19\times20\times21}{3}=360640\)
\(B=3\times4\times5+4\times5\times6+...+98\times99\times100\)
\(4\times B=3\times4\times5\times\left(6-2\right)+4\times5\times6\times\left(7-3\right)+...+98\times99\times100\times\left(101-97\right)\)
\(=3\times4\times5\times6-2\times3\times4\times5+...+98\times99\times100\times101-97\times98\times99\times100\)
\(=98\times99\times100\times101-2\times3\times4\times5\)
Suy ra \(B=\frac{98\times99\times100\times101-2\times3\times4\times5}{4}=24497520\)
\(x+23=24\)
\(x=24-23\)
\(x=1\)
\(x+99=199\)
\(x=199-99\)
\(x=100\)