15+100+100+15/2=?
1=15^4+15^8+...+15^96+15^100/1+15^2+15^4+...+15^98+15^100+15^102
[(100-12).(100-22)...(100-152)].[(100-12).(100-22)...(100-152)]
Trong các thừa số trên có chứa thừa số 100-102
Thừa số này có giá trị là 0
Vậy tích bằng 0
Trong các cặp phép tính trên 100 - 10^2 = 0
=> kết quả phép tính = 0
\(\frac{1+15^4+15^8+...+15^{96}+15^{100}}{1+\frac{15}{2}+\frac{15}{4}+...+\frac{15}{100}+\frac{15}{102}}\)
Rút gọn:
B=\(\dfrac{1+15^4+15^8+...+15^{96}+15^{100}}{1+15^2+15^4+...+15^{98}+15^{100}+15^{102}}\)
B=\(\dfrac{1+15^4+15^8+...+15^{96}+15^{100}}{\left(1+15^4+15^8+..+15^{96}+15^{100}\right)+\left(15^2+15^6+...+15^{98}+15^{102}\right)}\)
=\(\dfrac{1+15^4+15^8+...+15^{96}+15^{100}}{\left(1+15^4+15^8+...+15^{96}+15^{100}\right)+15^2.\left(1+15^{14}+15^8+...+15^{96}+15^{100}\right)}\)
\(\dfrac{\left(1+15^4+15^8+...+15^{96}+15^{100}\right)}{\left(1+15^4+15^8+...+15^{96}+15^{100}\right)\left(1+15^2\right)}\)
=\(\dfrac{1}{1+15^2}=\dfrac{1}{226}\)
B=\(\frac{1+15^4+15^8+...+15^{96}+15^{100}}{1+15^2+15^4+...+15^{98}+15^{100}+15^{102}}\)
Tính B
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Rút gọn:
\(B=\frac{1+15^4+15^8+...+15^{96}+15^{100}}{\left(1+15^4+15^8+...+15^{96}+15^{100}\right)+\left(15^2+15^6+...+15^{98}+15^{102}\right)}\)
15+15×2+15×7—100
15 + 15x2 +15x7 -100
= 15 x( 1+2+7) -100
= 15 x 10 -100
= 150 -100 = 50
15+15x2+15x7-100
=15x(1+2+7)-100
=15x10-100
=150-100
=50
15+15x2+15x7-100=15+30+105-100=45+105-100=150-100=50
Tính nhanh :
1) 100 x 15 + 85 x 100
2) 100 x 198 - 100 x 98
3) 50 + 5 - 15 + 10
1.100x15+85x100
=1500+8500
=10000
2.100x198-100x98
=19800-9800
=10000
3.50+5-15+10
=55-25
=30
1) 100 x 15 + 85 x 100 = ( 100 x 15 ) + ( 85 x 100 )
= 1500 + 8500
= 10 000
2) 100 x 198 - 100 x 98 = ( 100 x 198 ) - ( 100 x 98 )
= 19 800 - 9800
= 10 000
3) 50 + 5 - 15 + 10 = 55 - 15 + 10
= 45 + 10
= 55
TÍNH BẰNG 2 CÁCH
15 15/100 + 20 95/100
9 3/4 - 8 1/2
a) Cách 1 :
\(15\frac{15}{100}+20\frac{95}{100}\)
= \(\frac{1515}{100}+\frac{2095}{100}\)
= \(\frac{361}{10}\)= 36,1
Cách 2 :
\(15\frac{15}{100}+20\frac{95}{100}\)
= 15,15 + 20,35
= 36,1
b) Cách 1 :
\(9\frac{3}{4}-8\frac{1}{2}\)
= \(\frac{39}{4}-\frac{17}{2}\)
= \(\frac{5}{4}\) = 1,25
Cách 2 :
\(9\frac{3}{4}-8\frac{1}{2}\)
= 9,75 - 8,5
= 1,25
\(15\frac{15}{100}+20\frac{95}{100}=\left(15+20\right)+\frac{15+95}{100}=30+1\frac{5}{100}=31,05\)
\(9\frac{3}{4}-8\frac{1}{2}=\left(9-8\right)+\left(\frac{3}{4}-\frac{1}{2}\right)=1+\left(\frac{3}{4}-\frac{2}{4}\right)=1+\frac{1}{4}=1,25\)