1 thực hiện phép tính bằng cách thuận tiện nhất :
A, 32 * 47 + 32 * 53
B, 875 +5375 : 25 -875
C,5* 25* 2 *16 *4
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a,16+25+30+54
=(16+54)+(25+30)
=70+55
=125
b,25+43+57+32
=(25+32)+(43+57)
=57+100
=157
16 + 25 + 30 + 54
= ( 16 + 54 ) + (25 + 30 )
= 70 + 55
= 125
25 + 43 + 57 + 32
= ( 43 + 57 ) + ( 25 + 32 )
= 100 + 57
= 157
\(\left(25\times32\right)\div4\\ =25\times32\div4\\ =25\times\left(32\div4\right)\\ =25\times8\\ =200\)
`(25 \times 32) \div 4`
`= (25 \times 4 \times 8) \div 4`
`= (100 \times 8) \div 4`
`= 800 \div 4`
`= 200`
\(A=1+\dfrac{1}{5}+\dfrac{1}{25}+\dfrac{1}{125}+...+\dfrac{1}{625}+\dfrac{1}{78125}\)
\(=1+\dfrac{1}{5}+\dfrac{1}{5^2}+\dfrac{1}{5^3}+...+\dfrac{1}{5^7}\)
\(5A=5+1+\dfrac{1}{5}+\dfrac{1}{5^2}+...+\dfrac{1}{5^6}\)
\(\Leftrightarrow5A-A=5+1+\dfrac{1}{5}+\dfrac{1}{5^2}+...+\dfrac{1}{5^6}-1-\dfrac{1}{5}-\dfrac{1}{5^2}-\dfrac{1}{5^3}-...-\dfrac{1}{5^7}\)
\(\Leftrightarrow4A=5-\dfrac{1}{5^7}\Leftrightarrow A=\dfrac{5-\dfrac{1}{5^7}}{4}=\dfrac{\dfrac{390624}{78125}}{4}=\dfrac{390624}{312500}=\dfrac{97656}{78125}\)
a) \(31\cdot72+\left(-31\right)\cdot70-2\cdot70\)
\(=31\cdot72-31\cdot70-2\cdot70\)
\(=31\cdot\left(72-70\right)-2\cdot70\)
\(=31\cdot2-2\cdot70\)
\(=2\cdot\left(31-70\right)\)
\(=2\cdot-39\)
\(=-78\)
b) \(25\cdot\left(32+17\right)-32\cdot\left(25+47\right)\)
\(=25\cdot32+25\cdot17-32\cdot25-32\cdot47\)
\(=25\cdot\left(32-32+17\right)-32\cdot47\)
\(=25\cdot17-32\cdot47\)
\(=425-1504\)
\(=-1079\)
\(a,50\%+\dfrac{7}{12}-\dfrac{1}{2}\\ =\dfrac{1}{2}+\dfrac{7}{12}-\dfrac{1}{2}\\ =\left(\dfrac{1}{2}-\dfrac{1}{2}\right)+\dfrac{7}{12}\\ =\dfrac{7}{12}\\ b,2022\times67+2022\times43-2022\times10\\ =2022\times\left(67+43-10\right)\\ =2022\times100\\ =202200.\\ c,125-25:3\times12\)
\(=25\times5-25:3\times12\\ =25\times\left(5-\dfrac{1}{3}\right)\times12\\ =25\times\dfrac{14}{3}\times12\\ =1400\)
a,50%+127−21=21+127−21=(21−21)+127=127b,2022×67+2022×43−2022×10=2022×(67+43−10)=2022×100=202200.c,125−25:3×12
A, 32 * 47 + 32 * 53
= 32 * ( 47 + 53 )
= 32 * 100
= 3200 .
B, 875 + 5375 : 25 - 875
= 875 - 875 + 5375 : 25
= 0 + 2115
= 215 .
C, 5 * 25 * 2 * 16 * 4
= ( 5 * 2 * 16 ) * ( 25 * 4 )
= 160 * 100
= 16000 .