tính nhanh 42/49 x 2/3 - 16/19 x 2/3 - 6/49 x 2/3 -1/49
lưu ý : thêm cách trình bày nữa nhé
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b; 36. 42 - 62.5 + 63 .62
= 36.42 - 36.5 + 63.36
= 36.(42 - 5 + 63)
= 36.100
= 3600
Bài 1:
a: \(\dfrac{25}{42}-\dfrac{20}{63}=\dfrac{75-40}{126}=\dfrac{35}{126}=\dfrac{5}{18}\)
b: \(\dfrac{9}{20}-\dfrac{13}{75}-\dfrac{1}{6}=\dfrac{135}{300}-\dfrac{52}{300}-\dfrac{50}{300}=\dfrac{33}{300}=\dfrac{11}{100}\)
\(D=\left(\frac{3}{7}\right)^{21}:\left(\left(\frac{3}{7}\right)^2\right)^6=\left(\frac{3}{7}\right)^{21}:\left(\frac{3}{7}\right)^{2.6}=\left(\frac{3}{7}\right)^9\)
\(E=\left(-\frac{1}{3}\right)^{7+9}:\left(-\frac{1}{3}\right)^{5.3}+\left(-2\right)^{12+3}:\left(-2\right)^{15}=\left(-\frac{1}{3}\right)^{16}:\left(-\frac{1}{3}\right)^{15}+\left(-2\right)^{15}:\left(-2\right)^{15}=-\frac{1}{3}+1=\frac{2}{3}\)
5) 24*(15+49)+12*(50+42)
=24*64+12*92
=24*64+12*2*46
=24*64+24*46
=24*(64+46)
=24*110
=2640
a: x=5:(-1/2)=-10
b: x=8/3+1/9=25/9
c: =>x+5/6=11/21
=>x=-13/42
d: =>7/4x-5=-10/3
=>7/4x=5/3
=>x=20/21
e: =>10/3-3/4:x=-1/6
=>3/4:x=10/3+1/6=21/6=7/2
=>x=3/4:7/2=3/4*2/7=6/28=3/14
g: =>3/(x+5)=3/20
=>x+5=20
=>x=15
h: =>1-1/2+1/2-1/3+...+1/x-1/x+1=49/50
=>1-1/x+1=49/50
=>x+1=50
=>x=49
`@` `\text {Ans}`
`\downarrow`
`2023 \times 14 + 2023 \times 83+97`
`= 2023 \times (14+83) + 97`
`= 2023 \times 97 + 97`
`= 196231 +97`
`= 196328`
`78 \times 31+78 \times 24+78 \times 17+78 \times 22 \times 72`
`= 78 \times (31+24+17+22 \times 72)`
`= 78 \times (31+24+17+1584)`
`= 78 \times 1656`
`= 129168`
`371 \times 69+371 \times 14+629 \times 83`
`= 371 \times (69+14) + 629 \times 83`
`= 371 \times 83 + 629 \times 83`
`= 83 \times (371+629)`
`= 83 \times 1000`
`= 83000`
`91 \times 51+49 \times 163-49 \times 72`
`= 91 \times 51 + 49 \times (163-72)`
`= 91 \times 51+49 \times 91`
`= 91 \times (51+49)`
`= 91 \times 100`
`= 9100`
`3 \times 12 \times 17 + 4 \times 9 \times 81 + 2 \times 6 \times 6`
`= 9 \times 4 \times 17 + 4 \times 9 \times 81 + 4 \times 9 \times 2`
`= 9 \times 4 \times (17+81+2)`
`= 36 \times 100`
`= 3600`
`42 \times 17 + 58 \times 83 \times 42 \times 83 + 42 \times 83 + 17`
`= 17 \times (42+58) + 42 \times 83 \times (58 \times 83 +1)`
`= 17 \times 100 + 3486 \times 4815`
`= 1700 + 16785090`
`= 16786790`
\(\dfrac{42}{49}\) x \(\dfrac{2}{3}-\dfrac{16}{19}\) x \(\dfrac{2}{3}-\dfrac{6}{49}\) x \(\dfrac{2}{3}-\dfrac{1}{49}\)
\(=\) \(\dfrac{4}{7}-\dfrac{16}{19}\) x \(\dfrac{2}{3}-\dfrac{6}{49}\) x \(\dfrac{2}{3}-\dfrac{1}{49}\)
\(=\) \(\dfrac{4}{7}-\dfrac{32}{57}-\dfrac{6}{49}\) x \(\dfrac{2}{3}-\dfrac{1}{49}\)
\(=\dfrac{4}{7}-\dfrac{32}{57}-\dfrac{4}{49}-\dfrac{1}{49}\)
\(=-\dfrac{257}{2793}\)
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