Rút gọn:
a) 3.5/8.24 b)2.14/7.8 c) 3.7.11/22.9
d)8 .5- 8 .2/ 16 e)11.4-11/2-13
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a. \(\dfrac{8,5-8,2}{16}=\dfrac{0,3}{16}=\dfrac{3}{160}\)
b. \(\dfrac{2\cdot14}{7\cdot8}=\dfrac{1\cdot2}{1\cdot4}=\dfrac{2}{4}=\dfrac{1}{2}\)
c. \(\dfrac{11\cdot4-11}{2-13}=\dfrac{11\left(4-1\right)}{-11}=\dfrac{1\cdot3}{-1}=-3\)
d. \(\dfrac{49+7\cdot49}{49}=\dfrac{49\cdot\left(1+7\right)}{49}=\dfrac{8}{1}=8\)
\(\dfrac{-63}{72}=\dfrac{-7}{8}\)
\(\dfrac{20}{-140}=\dfrac{-1}{7}\)
\(\dfrac{3.10}{5.24}=\dfrac{30}{120}=\dfrac{1}{4}\)
\(\dfrac{3.7.11}{22.9}=\dfrac{231}{198}=\dfrac{7}{6}\)
\(\dfrac{8.5-8.2}{16}=\dfrac{24}{16}=\dfrac{3}{2}\)
\(\dfrac{11.4-11}{2-13}=\dfrac{33}{-11}=-3\)
a) =-95-105=-200
b) = 38-85=-47
c) =25-8-25-2=-10
d) =18+2=20
e) =-16-5+21=0
f) = -11+23+21=33
h) =-13-15+5=-23
k mik nhé, tks
a)\(\left(10^2+11^2+12^2\right)\div\left(13^2+14^2\right)\)
\(=\left(100+121+144\right)\div\left(169+196\right)\)
\(=365\div365\)
\(=1\)
b) \(1.2.3...9-1.2.3...8-1.2.3...8^2\)
\(=1.2.3...8\left(9-1-8\right)\)
\(=1.2.3...8.0\)
\(=0\)
d) \(1152-\left(374+1152\right)+\left(-65+374\right)\)
\(=1152-374-1152-65+374\)
\(=\left(1152-1152\right)-65+\left(374-374\right)\)
\(=0-65+0\)
\(=-65\)
e) \(13-12+11+10-9+8-7-6+5-4+3+2-1\)
\(=13-\left(12-11\right)+\left(10-9\right)+\left(8-7\right)-\left(6-5\right)-\left(4-3\right)\)\(+\left(2-1\right)\)
\(=13-1+1+1-1-1+1\)
\(=13+0+0+0\)
\(=13\)
a, \(\frac{8.5-8.2}{16}\)\(=\frac{40-16}{16}=\frac{24}{16}=\frac{3}{2}\)
b, \(\frac{11.4-11}{2-13}=\frac{44-11}{-11}=\frac{33}{-11}=-3\)
Chúc em học tốt!
a, -(-5)-(+7)+(+3)+(-8)
= 5 - 7 + 3 + (-8)
= (-2) + 3 + (-8)
= 1 + (-8)
= -7
b, -(-15)-|-10|+|-9|-|5I
= 15 - 10 + 9 - 5
= 5 + 9 - 5
= 14 - 5
= 9
c, 14-(-13)-(17)+(-12)
= 14 + 13 - 17 + (-12)
= 27 - 17 + (-12)
= 10 + (-12)
= 2
d, -|-14| + |-10| - (-12) + (-8)
= -14 + 10 + 12 + (-8)
= (-4) + 12 + (-8)
= 7 + (-8)
= -1
e, -(-11) + (-15) + (13) - 21
\(\frac{3.5}{8.24}=\frac{3.5}{2^3.2^3.3}=\frac{1.5}{8.8.1}=\frac{5}{64}\)
\(\frac{2.14}{7.8}=\frac{2.7.2}{7.2^3}=\frac{1.7}{7.2}=\frac{1}{2}\)
\(\frac{3.7.11}{22.9}=\frac{1.7.11}{11.2.3}=\frac{1.7.1}{1.2.3}=\frac{7}{6}\)
\(\frac{8.5-8.2}{16}=\frac{8\left(5-2\right)}{8.2}=\frac{8.3}{8.2}=\frac{1.3}{1.2}=\frac{3}{2}\)
\(\frac{11.4-11}{2-13}=\frac{11\left(4-1\right)}{-11}=\frac{11.3}{-11}=-3\)
Bài 17 (Sgk Toán 6 Trang 15)
a) 3.5/8.24=3.5:3/8.24:3=5/8.8=5/64.
b) 2.14/7.8=2.2.7/7.2^3=2.7/7.4=1/2.
c) 3.7.11/22.9=3.7.1/12.11.3^2=7/2.3=76.
d) 8.5−8.2/16=(8.5−8.2):8/16:8=5−2/2=32.
e) 11.4−11/2−13=11.4−11/−11=(11.4−11):11/−11:11=4−1/−1=−3/1=-3