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\(19.64+76.34\)
\(=19.64+19.4.34\)
\(=19.64+19.136\)
\(=19.\left(64+136\right)\)
\(=19.200\)
\(=3800\)
\(35.12+65.13\)
\(=5.7.12+5.13.13\)
\(=5.84+5.169\)
\(=5.\left(84+169\right)\)
\(=5.253\)
\(=1265\)
\(19991999.1998-19981998.1999\)
\(=1999.10101.1998-1998.10101.1999\)
\(=0\)
\(\left(2+4+6+......+100\right).\left(36.333-108.111\right)\)
\(=\left(2+4+6+........+100\right).\left(36.3.111-108.111\right)\)
\(=\left(2+4+6+........+100\right).\left(108.111-108.111\right)\)
\(=\left(2+4+6+.......+100\right).0\)
\(=0\)
19x64+76x34
=19x64+19x4x34
=19x(64+136)
=19x200=3800
35x12+65x13
=5x7x12+5x13x13
=5x(7x12+13x13)
=5x253=1265
19991999x1998-19981998x1999
=1999x10001x1999-1998x10001x1999
=0
( 2+4+6+... +100) x ( 36x 333 -108 x111)
=(2+4+6+...+100)x(36x111x3-36x3x111)
=(..................tự điền, như trên thôi)x0=0
a, 333...333 (100 chữ số 3).333...33(100 chữ số 3)
= 333...3332(100 chữ số 3)
b, A = (100 - 1).(100 - 2)....(100- n)
Vì tích trên có 100 thừa số nên n = 100
Vậy A = (100 - 1).(100 -2)...(100 - 100)
A = (100 - 1).(100 - 2)...0
A = 0
Bài 2:
a, 25.\(x\) - 34 = 22.5 + 2.(7\(x\) + 4) + 2160
25\(x\) - 81 = 20 + 14\(x\) + 8 + 1
25\(x\) - 14\(x\) = 20 + 8 + 1 + 81
11\(x\) = 110
\(x\) = \(\dfrac{110}{11}\)
a) 48 x 9 + 24 x 18 + 18 x 52
= 24 x 2 x 9 + 24 x 18 + 18 x 52
= 24 x 18 + 24 x 18 + 18 x 52
= 18 x (24+24+52)
=18 x 100
=1800
a﴿ 48 x 9 + 24 x 18 + 18 x 52
= 24 x 2 x 9 + 24 x 18 + 18 x 52
= 24 x 18 + 24 x 18 + 18 x 52
= 18 x ﴾24+24+52﴿
=18 x 100
=1800
1.
a.
\(\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}=1-\frac{1}{6}=\frac{5}{6}\)
b.
Tích có 100 thừa số
=> n = 100
\(\left(100-1\right)\times\left(100-2\right)\times\left(100-3\right)\times...\times\left(100-99\right)\times\left(100-100\right)\)
\(=\left(100-1\right)\times\left(100-2\right)\times\left(100-3\right)\times...\times\left(100-99\right)\times0\)
\(=0\)
2.
a.
\(135\times789789-789\times135135=1001\times\left(135\times789-789\times135\right)=1001\times0=0\)
b.
\(\left(28\times9696-96\times2828\right)\div\left(1\times2\times3\times...\times2015\times2016\right)\)
\(=\left[101\times\left(28\times96-96\times28\right)\right]\div\left(1\times2\times3\times...\times2015\times2016\right)\)
\(=\left(101\times0\right)\div\left(1\times2\times3\times...\times2015\times2016\right)\)
\(=0\div\left(1\times2\times3\times...\times2015\times2016\right)\)
\(=0\)
3.
a.
\(\left[\left(x+32\right)-17\right]\times2=42\)
\(\left(x+32\right)-17=\frac{42}{2}\)
\(\left(x+32\right)-17=21\)
\(x+32=21+17\)
\(x+32=38\)
\(x=38-32\)
\(x=6\)
b.
\(125+\left(145-x\right)=175\)
\(145-x=175-125\)
\(145-x=50\)
\(x=145-50\)
\(x=95\)
\(\left(2+4+6+...+100\right)\left(36.333-108.111\right)=\left(2+4+6+...+100\right).\left[111\left(36.3-108\right)\right]=\left(2+4+6+...+100\right).0=0\)
(2+4+6+.......+100) (36 x 333 -108 X 111 )
=2x(1+2+3+......+50)[36x111(1x3-3x1)
=2x(1+2+3+......+50)(36x111x0)
=2x(1+2+3+......+50)x0
=0