Tính hợp lí:
a ) − 3 13 + 7 12 − 10 13 + 5 12 ; b ) 15 24 − 6 26 + 28 48 − 30 39 + 10 24 c ) − 1 2 + 3 7 − 1 9 − 7 18 + 4 7 ; d ) − 5 10 + 12 28 − 3 27 − 7 18 + 20 35
Tính một cách hợp lí :
a) -3/8-13/65+3/8
b) (-13/7-4/9)-(-10/7-4/9)
C) 17 1/3 x(-3/7)+3 2/3 x(-3/7)
\(a.\dfrac{-3}{8}-\dfrac{13}{65}+\dfrac{3}{8}=\left(\dfrac{3}{8}-\dfrac{3}{8}\right)-\dfrac{13}{65}=-\dfrac{13}{65}\)
\(b.\left(\dfrac{-13}{7}-\dfrac{4}{9}\right)-\left(-\dfrac{10}{7}-\dfrac{4}{9}\right)=\dfrac{-13}{7}-\dfrac{4}{9}+\dfrac{10}{7}+\dfrac{4}{9}\\ =\left(\dfrac{-13}{7}+\dfrac{10}{7}\right)+\left(\dfrac{4}{9}-\dfrac{4}{9}\right)=-\dfrac{3}{7}\)
\(c.17\dfrac{1}{3}\cdot\left(\dfrac{-3}{7}\right)+3\dfrac{2}{3}\cdot\left(\dfrac{-3}{7}\right)=\dfrac{-3}{7}\cdot\left(17\dfrac{1}{3}+3\dfrac{2}{3}\right)\\ =\dfrac{-3}{7}\cdot\left(\dfrac{52}{3}+\dfrac{11}{3}\right)=\dfrac{-3}{7}\cdot21=-9\)
B=5/7. -4/13 + 5/7. 7/13 - 5/13 . 3/7
Tính một cách hợp lí (ghi rõ tính chất đã áp dụng)
B=\(\frac{5}{7}\).\(\frac{-4}{13}\)+\(\frac{5}{7}\).\(\frac{7}{13}\)-\(\frac{5}{13}\).\(\frac{3}{7}\)
B=5/7.-4/13+5/7.7/13-3/13.5/7(dùng tính chất đổi chỗ tử số trong 1 tích)
B=5/7.(-4/13+7/13-3/13) (tính chất kết hợp)
B=5/7.0 (tính chất nhân với 0)
B=0
CHÚC BẠN HỌC GIỎI
K MÌN NHÉ
\(B=\frac{5}{7}.\frac{-4}{13}+\frac{5}{7}.\frac{7}{13}-\frac{5}{13}.\frac{3}{7}\)
\(=\frac{5}{7}.\frac{-4}{13}+\frac{5}{7}.\frac{7}{13}-\frac{5}{7}.\frac{3}{13}\)
\(=\frac{5}{7}.\left(\frac{-4}{13}+\frac{7}{13}-\frac{3}{13}\right)\)
\(=\frac{5}{7}.0\)
\(=0\)
Tính hợp lí nếu có thể:
\(\dfrac{7}{13}.\dfrac{5}{11}+\dfrac{7}{11}.\dfrac{8}{13}-3\dfrac{7}{11}\)
\(=\dfrac{7}{11}\left(\dfrac{5}{13}+\dfrac{8}{13}\right)-3-\dfrac{7}{11}=-3\)
Tính hợp lí:
( -3/5 + 5/13 ) : 2/7 - ( 9/4 + 8/13 ) : 2/7
1. Thucự hiện phép tính một cách hợp lí :
a, 1/7 . -3/7 + 1/7 . -13/8
b, 3/5 . 13/46 - 1/10 . 16/23
giups e vs ạ
\(\text{Phần a nên sửa đề thế này :}\) \(\frac{1}{7}.\frac{-3}{8}+\frac{1}{7}.\frac{-13}{8}\)
\(\text{Giải :}\)
\(\frac{1}{7}.\frac{-3}{8}+\frac{1}{7}.\frac{-13}{8}\)
\(=\frac{1}{7}\left(\frac{-3}{8}+\frac{-13}{8}\right)\)
\(=\frac{1}{7}.\left(-2\right)\)
\(=\frac{-2}{7}\)
\(\frac{3}{5}.\frac{13}{46}-\frac{1}{10}.\frac{16}{23}\)
\(=\frac{3}{5}.\left(\frac{1}{46}.13\right)-\frac{1}{10}.\frac{32}{46}\)
\(=\left(\frac{3}{5}.13\right).\frac{1}{46}-\left(\frac{1}{10}.32\right).\frac{1}{46}\)
\(=\frac{39}{5}.\frac{1}{46}-\frac{32}{10}.\frac{1}{46}\)
\(=\frac{78}{10}.\frac{1}{46}-\frac{32}{10}.\frac{1}{46}\)
\(=\left(\frac{78}{10}-\frac{32}{10}\right).\frac{1}{46}\)
\(=\frac{46}{10}.\frac{1}{46}\)
\(=\frac{1}{10}\)
Thực hiện các phép tính (tính bằng cách hợp lí nếu có thể): -3 6. a. b. 11.62 + (-12).11 + 50.11 21 42 -5 -20 8. -21 с. 13 7 41 13 41
tính hợp lí :
a) -3 + 7 - 9 - 54 + 3 + 50 + 13
b) -8(21-13+72)+80.(-21+76-132)
mn giúp mk gấp nhé ^^
a: =(-3+3)+(7+13)+(-9+50-54)
=20-13
=7
b: \(=-8\cdot21+8\cdot13-8\cdot72-80\cdot21+80\cdot76-80\cdot132\)
=-6800
a: =(-3+3)+(7+13)+(-9+50-54)
=20-13
=7
b: =−8⋅21+8⋅13−8⋅72−80⋅21+80⋅76−80⋅132=−8⋅21+8⋅13−8⋅72−80⋅21+80⋅76−80⋅132
=-6800
Bài 1 : Tính một cách hợp lí
A = -3/7 + 14/23 + -14/17 +9/23 - 5/19
B= 5/9 . 7/13. 5/9 .9/13 . -5/13. 3/9
Giúp mình với!!!
\(A=\frac{-3}{7}+\frac{14}{23}+\frac{-14}{17}+\frac{9}{23}-\frac{5}{19}\)
\(\Rightarrow A=-\frac{3}{7}+\left(\frac{14}{23}+\frac{9}{23}\right)-\frac{14}{17}-\frac{5}{19}\)
\(\Rightarrow A=\frac{-3}{7}+1-\frac{14}{17}-\frac{5}{19}\)
Tính nốt nhé
\(B=\frac{5}{9}.\frac{7}{13}.\frac{5}{9}.\frac{9}{13}.\left(-\frac{5}{13}\right).\frac{3}{9}\)
Tương tự câu A
tính hợp lí
-11/7 + 13/-2 + -6/17
13/-8 + -7/20 +3/-8
-4/7 + 11/5 + 1/5 + -7/3
\(#N\)
\(-\dfrac{11}{7}+\dfrac{13}{-2}+-\dfrac{6}{17}=-\dfrac{113}{14}+-\dfrac{6}{17}=-\dfrac{2005}{238}\)
\(\dfrac{13}{-8}+-\dfrac{7}{20}+\dfrac{3}{-8}=\left(-\dfrac{13}{8}+-\dfrac{3}{8}\right)+-\dfrac{7}{20}=-2+-\dfrac{7}{20}=-\dfrac{47}{20}\)
\(-\dfrac{4}{7}+\dfrac{11}{5}+\dfrac{1}{5}+-\dfrac{7}{3}=-\dfrac{4}{7}+\left(\dfrac{11}{5}+\dfrac{1}{5}\right)+-\dfrac{7}{3}=-\dfrac{4}{7}+\dfrac{12}{5}+-\dfrac{7}{3}=-\dfrac{53}{105}\)
Tính hợp lí ( tính nhanh)
\(\dfrac{6}{13.}\dfrac{5}{7}+\dfrac{6}{13}.\dfrac{2}{7}+\dfrac{7}{13} \)
\(\dfrac{6}{13}.\dfrac{5}{7}+\dfrac{6}{13}.\dfrac{2}{7}+\dfrac{7}{13}=\dfrac{6}{13}.\left(\dfrac{5}{7}+\dfrac{2}{7}\right)+\dfrac{7}{13}=\dfrac{6}{13}.1+\dfrac{7}{13}=\dfrac{6}{13}+\dfrac{7}{13}=\dfrac{13}{13}=1\)
#Monster
\(\dfrac{6}{13}\).(\(\dfrac{2}{7}+\dfrac{5}{7}\))+\(\dfrac{7}{13}\)
\(\dfrac{6}{13}\).1+\(\dfrac{7}{13}\)
\(\dfrac{6}{13}\)+\(\dfrac{7}{13}\)
1