Tinh nhanh
B = 4,5 . 19,375 . 0,4 / 3,125 . 1,2 . 1,5 . 6,2
C =1/ 1.2 + 1/ 2.3 + 1/ 3.4 +......+ 1/ 110.11
D = 1/2 + 1/4 + 1/8 + 1/16 +....+ 1/256
2. Tính nhanh:
4,5 x 19,375 x 0,4 / 3,125 x 1,2 x 1,5 x 6,2
4,5 * 19,375*0,4
3,125*1,2*1,5*6,2
M.n giúp em nhanh ạ, tính nhanh
4,5x19,375x0,4=34,875
3,125x1,2x1,5x6,2=34,875
Chúc em học tốt!
Tính S= 1+1/2+1/4+1/8+1/16+1/32
Tính tổng A=1.2+2.3+3.4+...+98.99
BÀI 1:
\(S=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)
\(S=1+\frac{1}{1.2}+\frac{1}{2.2}+\frac{1}{2.4}+\frac{1}{4.4}+\frac{1}{4.8}\)
\(S=1+1-\frac{1}{2}+\frac{1}{2}-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{4}+\frac{1}{4}-\frac{1}{8}\)
\(S=1+1-\frac{1}{8}\)
\(S=\frac{15}{8}\)
BÀI 2:
\(A=1.2+2.3+3.4+...+98.99\)
\(\Rightarrow3A=1.2.3+2.3.3+3.4.3+...+98.99.3\)
\(3A=1.2.\left(3-0\right)+2.3.\left(4-1\right)+3.4.\left(5-2\right)+...+98.99.\left(100-97\right)\)
\(3A=1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+...+98.99.100-97.98.99\)
\(3A=\left(1.2.3+2.3.4+3.4.5+98.99.100\right)-\left(1.2.3+2.3.4+...+97.98.99\right)\)
\(3A=98.99.100\)
\(3A=970200\)
\(\Rightarrow A=970200:3\)
\(A=323400\)
CHÚC BN HỌC TỐT!!!
tính nhanh biểu thức sau
A.1/2+1/4+1/8+1/16+1/32
B.2/1.2+2/2.3+2/3.4+......+2/18.19+2/19.20
trả lời chỉ để lấy tích thời mọi người tích giùm hihi
mình muốn xem bài này ở đâu để trả lời đừng hỏi tai sao
tính nhanh biểu thức sau :
a) 1/2+1/4+1/8+1/16+1/32
b)2/1.2+2/2.3+2/3.4+....+2/18.19+2/19.20
c)2+4-6+8+10-12+....+98-100+102
a) Đặt A = 1/2 + 1/4 + 1/8 + 1/16 + 1/32
A = 1/2 + 1/22 + 1/23 + 1/24 + 1/25
2A = 2(1/2 + 22 + 1/23 + 1/24 + 1/25)
2A = 1 + 1/2 + 1/22 + 1/23 + 1/24
2A - A = (1 + 1/2 + 1/22 + 1/23 + 1/24) - (1/2 + 1/22 + 1/23 + 1/24 + 1/25)
A = 1 - 1/25
A = 31/32
b) 2/1.2 + 2/2.3 + 2/3.4 + ... + 2/18 . 19 + 2/19.20
= 2(1/1.2 + 1/2.3 + 1/3.4 + ... + 1/18.19 + 1/19.20)
= 2.(1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/18 - 1/19 + 1/19 - 1/20)
= 2. (1 - 1/20)
= 2.19/20
= 19/10
Sửa đề câu c)
2 - 4 + 6 - 8 + 10 - 12 + ...... + 98 - 100 + 102
= 2 + ( 6 - 4 ) + ( 10 - 8 ) + ..... + ( 98 - 96 ) + ( 102 - 100 )
= 2 + ( 2 + 2 + 2 + 2 + .... + 2 )
= 2 + 50
= 52
Tính nhanhB=\(-\frac{1}{1.2}-\frac{1}{2.3}-\frac{1}{3.4}-.....-\frac{1}{98.99}-\frac{1}{99.100}\)
Giups mình với mình đang cần gấp ai nhanh nhất tớ sẽ tích cho bạn đó có kèm cách làm nhé
\(B=-\frac{1}{1.2}-\frac{1}{2.3}-\frac{1}{3.4}-...-\frac{1}{98.99}-\frac{1}{99.100}\\
=-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{98.99}+\frac{1}{99.100}\right)\\
=-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{98}-\frac{1}{99}+\frac{1}{99}-\frac{1}{100}\right)\\
=-\left(1-\frac{1}{100}\right)=\frac{-99}{100}\)
<br class="Apple-interchange-newline"><div></div>B=−11.2 −12.3 −13.4 −...−198.99 −199.100 \\ =−(11.2 +12.3 +13.4 +...+198.99 +199.100 ) \\ =−(1−12 +12 −13 +13 −14 +...+198 −199 +199 −1100 ) \\ =−(1−1100 )=−99100
\(\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right):x=\frac{3}{1.2}+\frac{3}{2.3}+\frac{3}{3.4}+....+\frac{3}{15.16}\)
\(\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right):x=\frac{3}{1.2}+\frac{3}{2.3}+\frac{3}{3.4}+...+\frac{3}{15.16}\)
\(\left(\frac{8}{16}+\frac{4}{16}+\frac{2}{16}+\frac{1}{16}\right).\frac{1}{x}=3.\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{15.16}\right)\)
\(\frac{8+4+2+1}{16}.\frac{1}{x}=3.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{15}-\frac{1}{16}\right)\)
\(\frac{15}{16}.\frac{1}{x}=3.\left(1-\frac{1}{16}\right)\)
\(\frac{15}{16}.\frac{1}{x}=3.\frac{15}{16}\)
=> \(\frac{1}{x}=3\)
=> \(x=\frac{1}{3}\)
tinh 1/1.2+1/2.3+1/3.4+.......+1/99.100
1/1.2+1/2.3+1/3.4+......+1/99.100
=1-1/2+1/2-1/3+1/3-1/4+..........+1/99-1/100
=1-1/100
=99/100
A=1-1/2+1/2-1/3+1/3-1/4+.....+1/99-1/100
A=1/100-1
A=99/100
4,5*19,375*0,4/3.125*1,2*1,5*6,2
trả lời
4,5*19,375*0,4/3.125*1,2*1,5*6,2=124,5456
chúc bn
hc tốt