25 % - 1/5 + 3 25/100 + 3/4 - 5 : 100
Tính nhanh
a. 5/11 + 1/4 + 2/5 + 6/11 + 3/4 + 6/25 + 9/25
b. 19/4 + 37/100 + 1/8 + 1/2 + 163/100 + 3/8
a.
(5/11 + 6/11 ) + ( 1/4 +3/4) + ( 6/25 + 9/25)
= 11/11 + 4/4 + 15/25
= 1 +1 + 3/5
= 2+3/5 = 13/5
b.
( 37/100 + 163/100) + (1/8 + 3/8 ) + 19/4 + 1/2
= 200/100 + 4/8 + ( 19/4 + 2/4)
= 2 + 1/2 + 21/4
= 31/4
A=(1^100+2^100+…+10^100).(5^10-25^5)
B=(2^5+3^5+4^5).(1^2+2^2+…+100^2).(4^10-2^20)
Tính nhanh A = (1^100+2^100+…+10^100).(5^10-25^5)
B = (2^5+3^5+4^5).(1^2+2^2+…+100^2).(4^10-2^20)
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`Answer:`
\(A=\left(1^{100}+2^{100}+...+10^{100}\right)\left(5^{10}-25^5\right)\)
\(=\left(1^{100}+2^{100}+...+10^{100}\right)[5^{10}-\left(5^2\right)^5]\)
\(=\left(1^{100}+2^{100}+...+10^{100}\right)\left(5^{10}-5^{10}\right)\)
\(=\left(1^{100}+2^{100}+...+10^{100}\right).0\)
\(=0\)
\(B=\left(2^5+3^5+4^5\right)\left(1^2+2^2+...+100^2\right)\left(4^{10}-2^{20}\right)\)
\(=\left(2^5+3^5+4^5\right)\left(1^2+2^2+...+100^2\right)\left(2^{2.10}-2^{20}\right)\)
\(=\left(2^5+3^5+4^5\right)\left(1^2+2^2+...+100^2\right).0\)
\(=0\)
3/4+ 1/25 + 3/100
1/20 + 3/4 + 6/5
\(\dfrac{3}{4}+\dfrac{1}{25}+\dfrac{3}{100}=\dfrac{75}{100}+\dfrac{4}{100}+\dfrac{3}{100}=\dfrac{82}{100}=\dfrac{41}{50}\)
\(\dfrac{1}{20}+\dfrac{3}{4}+\dfrac{6}{5}=\dfrac{1}{20}+\dfrac{15}{20}+\dfrac{24}{20}=\dfrac{40}{20}=2\)
tính nhanh
A=(1^100+2^100+…+10^100).(5^10-25^5)
B=(2^5+3^5+4^5).(1^2+2^2+…+100^2).(4^10-2^20)
1) ( -213) + 186 + ( - 14 ) + 217 + 54 + ( - 49 )
2 ) - 38 . ( 25 - 4 ) + 25 . ( -4 + 38 )
3) -39 . ( 5 - 99 ) + 99 . ( 10 - 39 )
4 ) 1+ 3-5-7+9+ 11 - ....- 397 - 399
5) 1+ 2 + 2^2 + ... + 2 ^ 100
6) 3^102 - 3 ^ 100 - 3 ^ 98 -...3 ^2 - 3 ^0
1: \(=\left(217-213+186\right)+\left(-14-49+54\right)\)
\(=190-9=181\)
2: \(=-38\cdot25+38\cdot4-25\cdot4+25\cdot38\)
\(=13\cdot4=52\)
3: \(=-39\cdot5+39\cdot99+99\cdot10-99\cdot39\)
\(=-195+990=795\)
4: =(1+3-5-7)+(9+11-13-15)+...+(393+395-397-399)
=(-8)+(-8)+...+(-8)
=-800
0.8/(4/5*1.25)/0.64-1/25+(100-2/25) 4/7/(59/9-13/4)*56/27+(1.2*0.5):3/5
mẫu 25% = 25/100 = 25 : 25 phần 100 : 25 = 1/4 25% = 25/100 0,25
75%
15%
bài 6 tính
5 phần 4 + 2,6 + 75% 2,8 + 3 phần 5 : 15%
3/5 -1/4 :x =25/100
\(\frac{3}{5}-\frac{1}{4}\div x=\frac{25}{100}\)
\(\frac{3}{5}-\frac{1}{4}\div x=\frac{1}{4}\)
\(\frac{1}{4}\div x=\frac{3}{5}-\frac{1}{4}\)
\(\frac{1}{4}\div x=\frac{7}{20}\)
\(x=\frac{1}{4}\div\frac{7}{20}\)
\(x=\frac{5}{7}\)
Ta có: 3/5 - 1/4 : x = 25/100
=> 1/4 : x = 3/5 - 25/100
=> 1/4 : x = 7/20
=> x = 1/4 : 7/20
=> x = 5/7
Vậy x = 5/7
\(\frac{3}{5}\)- \(\frac{1}{4}\): x = \(\frac{1}{4}\)
\(\frac{1}{4}\): x = \(\frac{3}{5}\)- \(\frac{1}{4}\)
\(\frac{1}{4}\): x = \(\frac{7}{20}\)
x = \(\frac{1}{4}\): \(\frac{7}{20}\)
x = \(\frac{1}{4}\)x \(\frac{20}{7}\)
x = \(\frac{5}{7}\)