Cho A = 25 . 9 − 25 . 17 − 8 . 80 − 8.10 và B = 48.12 − 48.15 − 3.270 − 3.30 . Chọn câu đúng.
A. A < B
B. A = B
C. A > 1;B < 0
D. A > B
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Ta có:
Tập hợp A:
\(A=\left\{1;5;9;13;17;21;25\right\}\)
Tập hợp B:
\(B=\left\{0;1;3;5;10;13\right\}\)
Mà: \(A\cap B\)
\(\Rightarrow A\cap B=\left\{1;5;13\right\}\)
⇒ Chọn B
Bài 1:
a; \(\dfrac{5}{18}\) + \(\dfrac{8}{19}\) - \(\dfrac{7}{21}\) + (- \(\dfrac{10}{36}\) + \(\dfrac{11}{19}\) + \(\dfrac{1}{3}\)) - \(\dfrac{5}{8}\)
= \(\dfrac{5}{18}\) + \(\dfrac{8}{19}\) - \(\dfrac{1}{3}\) -\(\dfrac{10}{36}\) + \(\dfrac{11}{19}\) + \(\dfrac{1}{3}\) - \(\dfrac{5}{8}\)
= (\(\dfrac{5}{18}\) - \(\dfrac{10}{36}\)) + (\(\dfrac{8}{19}\) + \(\dfrac{11}{19}\)) - (\(\dfrac{1}{3}\) - \(\dfrac{1}{3}\)) - \(\dfrac{5}{8}\)
= (\(\dfrac{5}{18}\) - \(\dfrac{5}{18}\)) + \(\dfrac{19}{19}\) - 0 - \(\dfrac{5}{8}\)
= 0 + 1 - \(\dfrac{5}{8}\)
= \(\dfrac{3}{8}\)
b; \(\dfrac{1}{13}\) + (\(\dfrac{-5}{18}\) - \(\dfrac{1}{13}\) + \(\dfrac{12}{17}\)) - (\(\dfrac{12}{17}\) - \(\dfrac{5}{18}\) + \(\dfrac{7}{5}\))
= \(\dfrac{1}{13}\) - \(\dfrac{5}{18}\) - \(\dfrac{1}{13}\) + \(\dfrac{12}{17}\) - \(\dfrac{12}{17}\) + \(\dfrac{5}{18}\) - \(\dfrac{7}{5}\)
= (\(\dfrac{1}{13}\) - \(\dfrac{1}{13}\)) + (\(\dfrac{12}{17}\) - \(\dfrac{12}{17}\)) + (-\(\dfrac{5}{18}\) + \(\dfrac{5}{18}\)) - \(\dfrac{7}{5}\)
= 0 + 0 + 0 - \(\dfrac{7}{5}\)
= - \(\dfrac{7}{5}\)
Bài 1 c;
\(\dfrac{15}{14}\) - (\(\dfrac{17}{23}\) - \(\dfrac{80}{87}\) + \(\dfrac{5}{4}\)) + (\(\dfrac{17}{23}\) - \(\dfrac{15}{14}\) + \(\dfrac{1}{4}\))
= \(\dfrac{15}{14}\) - \(\dfrac{17}{23}\) + \(\dfrac{80}{87}\) - \(\dfrac{5}{4}\) + \(\dfrac{17}{23}\) - \(\dfrac{15}{14}\) + \(\dfrac{1}{4}\)
= (\(\dfrac{15}{14}-\dfrac{15}{14}\)) + (\(-\dfrac{17}{23}+\dfrac{17}{23}\)) - (\(\dfrac{5}{4}\) - \(\dfrac{1}{4}\)) + \(\dfrac{80}{87}\)
= 0 + 0 - 1 + \(\dfrac{80}{87}\)
= - \(\dfrac{7}{87}\)
1. \(\frac{9}{30}=\frac{3}{10};\frac{98}{80}=\frac{49}{40};\frac{15}{1000}=\frac{3}{200}\)
Vì \(200⋮10;200⋮40\)
=> BCNN(10; 40; 200) = 200
200 : 10 = 20
200 : 40 = 5
=> \(\frac{3}{10}=\frac{3\cdot20}{10\cdot20}=\frac{60}{200}\), \(\frac{49}{40}=\frac{49\cdot5}{40\cdot5}=\frac{245}{200}\)
a)7/12 và 4/9
`7/12 = 21/36 ; 4/9 = 16/36 `
Vì `21 > 16` nên `21/36 > 16/36 `
Vậy : ` 7/12 > 4/9 `
các câu còn lại tương tự
câu a)
\(\dfrac{7}{12}=\dfrac{63}{108};\dfrac{4}{9}=\dfrac{48}{108}\\ \Rightarrow\dfrac{63}{108}>\dfrac{48}{108}\\ \Rightarrow\dfrac{7}{12}>\dfrac{4}{9}\)
câu b)
\(\dfrac{25}{60}=\dfrac{3200}{7680};\dfrac{7}{16}=\dfrac{3360}{7680};\dfrac{3}{8}=\dfrac{2880}{7680}\\ \Rightarrow\dfrac{2880}{7680}< \dfrac{3200}{7680}< \dfrac{3360}{7680}\\ \Rightarrow\dfrac{3}{8}< \dfrac{25}{60}< \dfrac{7}{16}\)
câu c) vì số âm bé hơn số dương nên ⇒ -3/17 < 1/19
\(a/ (- 25).(- 125).(- 4). (- 8)=[(-25).(-4)].[(-125).(-8)] =100.1000=100000\)
a/(−25).(−125).(−4).(−8)
= [(−25).(−4)].[(−125).(−8)]
= 100.1000
=100000
b/ (-50) . (-80) . (-2) . (-9)
= [(-50) . (-20)] . [ (-80) . (-9) ]
= 100 . 720
= 72000
a: 5/9=40/72
7/8=63/72
b: 7/12=14/24
13/24=13/24
c: 9/16=18/32
17/32=17/32
d: 11/6=77/42
8/7=48/42
e: 5/6=20/24
11/24=11/24
f: 13/16=13/16
25/8=50/16
Đáp án cần chọn là: D
A = 25 . 9 − 25 . 17 − 8 . 80 − 8.10 = 25. ( 9 − 17 ) − 8. ( 80 + 10 ) = 25. ( − 8 ) ( − 8 ) .90 = 25 90 = 5 18 B = 48.12 − 48.15 − 3.270 − 3.30 = 48. ( 12 − 15 ) ( − 3 ) . ( 270 + 30 ) = 48. ( − 3 ) ( − 3 ) .300 = 48 300 = 4 25
Vì A < 1 nên loại đáp án C.
So sánh A và B:
MSC = 450
5 18 = 5.25 18.25 = 125 450 ; 4 25 = 4.18 25.18 = 72 450
Vì 125 > 72 nên 125 450 > 72 450 hay 5 18 > 4 25
Vậy A > B