22-2*(5871/103+9*2-(1+1+6)*8)
Tính giá trị của các biểu thức sau rồi phân tích kết quả ra thừa số nguyên tố:
a. \(160 - \left( {{2^3}{{.5}^2} - 6.25} \right)\);
b. \(37.3 + 225:{15^2}\)
c. \(5871:103 - 64:{2^5}\)
d. \(\left( {1 + 2 + 3 + 4 + 5 + 6 + 7 + 8} \right){.5^2} - 850:2\)
a. \(160 - \left( {{2^3}{{.5}^2} - 6.25} \right)\)
\(\begin{array}{l} = 160 - \left( {8.25 - 6.25} \right)\\ = 160 - 25.\left( {8 - 6} \right)\\ = 160 - 25.2\\ = 160 - 50\\ = 110\end{array}\)
Ta có: 110 = 2.5.11
b. \(37.3 + 225:{15^2}\)
\(\begin{array}{l} = 37.3 + 225:225\\ = 37.3 + 1\\ = 111 + 1\\ = 112\end{array}\)
Ta có: \(112 = 2^4.7\)
c. \(5871:103 - 64:{2^5}\)
\(\begin{array}{l} = 5871:103 - 64:32\\ = 57 - 2 = 55\end{array}\)
Ta có: 55 = 5. 11
d. \(\left( {1 + 2 + 3 + 4 + 5 + 6 + 7 + 8} \right){.5^2} - 850:2\)
\(\begin{array}{l} = \left[ {\left( {1 + 8} \right) + \left( {2 + 7} \right) + \left( {3 + 6} \right) + \left( {4 + 5} \right)} \right]{.5^2} - 850:2\\ = \left( {9 + 9 + 9 + 9} \right){.5^2} - 850:2\\ = {9.4.5^2} - 850:2\\ = {36.5^2} - 425\\ = {36.5^2} - {5^2}.17\\ = {5^2}.\left( {36 - 17} \right)\\ = {5^2}.19=475\end{array}\)
Ta có: \(475 = 5^2.19\)
a: \(160-\left(2^3\cdot5^2-6\cdot25\right)\)
\(=160-\left(8\cdot25-150\right)\)
\(=160-200+150=10=2\cdot5\)
b: \(=111+225:225=112=2^4\cdot7\)
c: \(=57-64:32=57-2=55=5\cdot11\)
d: \(=\left(9\cdot\dfrac{8}{2}\right)\cdot25-425=36\cdot25-425=25=5^2\)
Tính
a, 536.27-(825 + 219 ) : 18 + 153 . 152 - 42
b, 120 - [ 5871 : 103 + 32 . 2 - ( 90 + 110 - 6 ). 23]
c, - | -5 | + ( - 19 ) + (+ 18 ) + | 11 - 4 | - 57
( 247 - 82 ) : 5 - 1 + 5871 : 103
(247-82):5-1+5871:103
=165:5-1+5871:103
=33-1+57
=32+57
=89
1, Tính
a ) 536 . 27 - ( 825 + 219 ) : 18 + 153: 152 - 42. 3
b) 120 - [ 5871 : 103 + 32. 2 - ( 90 + 110 + 6 ) : 23 ]
c) - /-5/ + ( - 19 ) + ( - 18 ) + / 11 - 4 / - 57
bn có thể dùng CACULARTOR
a) \(536.27-\left(825+219\right):18+15^3:15^2-4^2.3\)
\(=526.27-1044:18+15-16.3=14202-58+15-48\)
\(=\left(14202+15\right)-\left(58+48\right)=14217-106=14111\)
b) \(120-\left[5871:103+3^2.2-\left(9^0+1^{10}+6\right):2^3\right]\)
\(=120-\left[57+9.2-\left(1+1+6\right):2^3\right]\)
\(=120-\left[57+18-8:8\right]=120-74=46\)
c) \(-|-5|+\left(-19\right)+\left(-18\right)+|11-4|-57\)
\(=\left(-5\right)-19-18+7-57=\left(-42\right)+\left(-50\right)=-92\)
tinh nhanh
4 + 8 + 12 + 16+... + 200
5 + 10 + 15 + 20 + ... +295 + 300
2+ 4 + 6 + 9 + ... + 98 + 100 - [ 1 + 3 + 5 + ... + 97 + 99]
1 - 2 + 3 - 4 + 5 - 6 + ... + 101 - 102 + 103
16 - 18 + 20 - 22 + 24 - 26+ ... + 64 - 66 + 68
tính nhanh
a, 1-2+3-4+5-6+......+101-102+103
b, 2-4+6-8+10-21+.....+98-100+102
c, 16-18+20-22+.....+64-66+68
1+2-3+4-5+6-7+8-9+......+102-103+104
Lời giải:
$A=1+2-3+4-5+6-7+8-9+...+102-103+104$
$=1+(2+4+6+8+...+102+104)-(3+5+7+...+103)$
Tính tổng $2+4+6+...+104$
Số số hạng: $(104-2):2+1=52$
$2+4+6+...+104=(104+2)\times 52:2=2756$
Tính tổng $3+5+7+...+103$
Số số hạng: $(103-3):2+1=51$
$3+5+7+...+103=(103+3)\times 51:2=2703$
$A=1+2756-2703=2757-2703=54$
Tính nhanh:
1 + 2 - 3 - 4 + 5 + 6 -7 -8 + 9+...+101 + 102 - 103 - 104
1 + 2 - 3 - 4 + 5 + 6 -7 -8 + 9+...+101 + 102 - 103 - 104
= (1+2 - 3 - 4) + (5 + 6 -7 - 8) +...+ (101 + 102 - 103 - 104)
= -4.24
= -96
1+2-3-4+5+6-7-8+9+.......+101+102-103-104+105
câu 45 nhân 11 cách giải làm sao