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TL :
2021 x 45 + 2021 x 54 + 2021
= 2021 x 45 + 2021 x 54 + 2021 x 1
= 2021 x ( 45 + 54 + 1 )
= 2021 x 100
= 202100
T I C K cho tui !
~HT~
2021 x 45 + 2021 x 54 + 2021
= 2021 x ( 45 + 54 + 1 )
= 2021 x 100
= 202100
HT và $$$
2021 x 2020 + 21 + 2000 - 2021 x 2020
= 2021 x (2020-2020) +21 +2000
= 2021 x 0 + 21 + 2000
= 0 + 21 + 2000
= 2021
Cách này làm nhanh hơn cách của em nè. Chúc em học tốt nha <3
\(\dfrac{2021}{2022}.\dfrac{7}{16}+\dfrac{9}{16}.\dfrac{2021}{2022}=\dfrac{2021}{2022}\left(\dfrac{7}{16}+\dfrac{9}{16}\right)=\dfrac{2021}{2022}.1=\dfrac{2021}{2022}\)
\(\left(1-\dfrac{1}{2}\right)\times\left(1-\dfrac{1}{3}\right)\times\left(1-\dfrac{1}{4}\right)\times...\times\left(1-\dfrac{1}{2023}\right)\\ =\dfrac{1}{2}\times\dfrac{2}{3}\times\dfrac{3}{4}\times...\times\dfrac{2022}{2023}\\ =\dfrac{1}{2023}\)
1) Ta có: \(\left(\dfrac{3}{4}\cdot\dfrac{5}{97}+\dfrac{1}{9}\cdot\dfrac{13}{47}\right)\cdot\left(\dfrac{1}{5}-\dfrac{7}{25}\cdot\dfrac{5}{7}\right)\)
\(=\left(\dfrac{3}{4}\cdot\dfrac{5}{97}+\dfrac{1}{9}\cdot\dfrac{13}{47}\right)\cdot\left(\dfrac{1}{5}-\dfrac{1}{5}\right)\)
=0
2) Ta có: \(\dfrac{8}{17}\cdot\dfrac{4}{15}+\dfrac{8}{17}\cdot\dfrac{22}{15}-\dfrac{8}{15}\cdot\dfrac{9}{17}\)
\(=\dfrac{8}{17}\left(\dfrac{4}{15}+\dfrac{22}{15}-\dfrac{9}{15}\right)\)
\(=\dfrac{8}{17}\cdot\dfrac{15}{15}=\dfrac{8}{17}\)
3) Ta có: \(\dfrac{2021}{2}\cdot\dfrac{1}{3}+\dfrac{4042}{4}\cdot\dfrac{1}{5}+\dfrac{6063}{3}\cdot\dfrac{22}{15}\)
\(=\dfrac{2021}{2}\left(\dfrac{1}{3}+\dfrac{1}{5}\right)+2021\cdot\dfrac{22}{15}\)
\(=\dfrac{2021}{2}\cdot\dfrac{8}{15}+\dfrac{2021}{2}\cdot\dfrac{44}{15}\)
\(=\dfrac{2021}{2}\cdot\dfrac{52}{15}\)
\(=\dfrac{52546}{15}\)
4) Ta có: \(\dfrac{4}{7}\cdot\dfrac{2}{13}+\dfrac{8}{13}:\dfrac{7}{4}+\dfrac{4}{7}:\dfrac{13}{2}+\dfrac{4}{7}\cdot\dfrac{1}{13}\)
\(=\dfrac{4}{7}\left(\dfrac{2}{13}+\dfrac{8}{13}+\dfrac{2}{13}+\dfrac{1}{13}\right)\)
\(=\dfrac{4}{7}\)
= (4 x 25) x 113 - (5 x 20) x 112
= 100 x 113 - 100 x 112
= 100 x (113 - 112)
= 100 x 1
= 100
4×113×25-5×112×20
=(4×25)×113-(5×20)×112)
=100×113-100×112
=100×(113-112)
=100×1
=100
a) 11/12 x 9/19 - 22/24 x 6/19 + 11/12 x 16/19.
= 11/12 x 9/19 - 11/12 x 6/19 + 11/12 x 16/19.
=11/12 x ( 9/19 -6/19 + 16/19)
=11/12x 1
=11/12
mình biết câu a/ thôi
bằng 0
2021 x 31 + 17 x 2021 + 47 x 2021 - 100 x 2021 + 5 x 2021
= 2021 x ( 31 + 17 +47 + 5 - 100 )
= 2021 x 0
= 0 .
N H Ớ T I C K C H O TUI NHA !
~ HT~