x+25%.x =125
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1 : Tính nhanh:
a) 2376 + 3425 - 376 - 425 = ( 2376 - 376 ) + ( 3425 - 425 )
= 2000 + 3000
= 5000
b)4638 - 2437 + 5362 - 7563 = 2210 + ( - 2210 )
= 0
c) 45 + 45 + 45 + 45 + 15 + 15 + 15 + 15
= 45 x 4 + 15 x 4
= ( 45 + 15 ) x 4
= 60 x 4
= 240
d) 4 x 125 x 25 x 8 = ( 4 x 25 ) x ( 125 x 8 )
= 100 x 1000
= 100000
e) 2 x 8 x 50 x 25 x 125 = ( 2 x 50 ) x ( 8 x 125 ) x 25
= 100 x 1000 x 25
= 100000 x 25
= 2500000
2 : Tính nhanh bằng 2 cách:
C1 : 125 + 125 + 125 + 125 - 25 - 25 - 25 - 25
= ( 125 - 25 ) + ( 125 - 25) + ( 125 - 25 ) + ( 125 - 25 )
=100 + 100 + 100 + 100
= 100 x 4
= 400
C2 : 125 + 125 + 125 + 125 - 25 - 25 - 25 - 25
= 125 x 4 - 25 x 4
= ( 125 - 25 ) x 4
= 100 x 4
= 400
a) \(125\times25\times8\times4\)
\(\Rightarrow\left(125\times8\right)\times\left(25\times4\right)\)
\(\Rightarrow1000\times100\)
\(\Rightarrow100000\)
4 × 125 × 25 × 8
= (4 × 25) × (125 × 8)
= 100 × 1000
= 100 000
2 × 8 × 50 × 25 × 125
= (2 × 50) × (8 × 125) × 25
= 100 × 1000 × 125
= 12 500 000
2 × 3 × 4 × 5 × 50 × 25
= (2 × 50) × (4 × 25) × (3 × 5)
= 100 × 100 × 15
= 150 000
25 × 20 × 125 × 8 - 8 × 20 × 5 × 125
= 8 × 125 × 20 × (25 - 5)
= 1000 × 20 × 20
= 400 000
- (25 x 4) x (125 x8)=100 x 1000 =100000
- (50 x 2) x (8 x 125) x 25=100 x 1000 x 25 =2500000
- (2 x 50 ) x (4 x 25) x (3 x5)=100 x 100 x 15=150000
- 25 x 20 x125 x 8 - 5
= (20 x 5) x (125 x 8) -25=100 x 1000 -5 =100000 - 5 =99995
\(A=\frac{8.4.125.25+96524+476}{10.125.4.25.8}\)
\(A=\frac{1000.100+96524+476}{10.1000.100}\)
\(A=\frac{100000+96524+476}{1000000}\)
\(A=\frac{100000+97000}{1000000}=\frac{197000}{1000000}=\frac{197}{1000}\)
\(A=0,197\)
25 x 20 x 125 x 8 - 8 x 20 x 5 x 15
= ( 8 - 8 ) x 25 x 20 x 125 x 20 x 5 x 15
= 0 x 25 x 20 x 125 x 20 x 5 x 15
= 0 ( vì số nào nhân 0 cũng bằng 0 )
= 500\(\times\)1000\(-\)( 8\(\times\)125 ) \(\times\)( 20\(\times\)5 )
= 500\(\times\)1000\(-\)1000\(\times\)100
= 1000\(\times\)( 500\(-\)100 )
= 1000\(\times\)400
= 400000
125. 4=500
a.125. 4 =500
=> (-125). 4= -500
b.125. 4=500
=> (-4). 125= -500
c.125. 4=500
=> 4. (-125) = -500
*Bài làm:
\(x+25\%.x\) = \(125\)
⇒ \(x+\frac{25}{100}.x\) = \(125\)
⇒ \(x+\frac{1}{4}.x\) = \(125\)
⇒ \(x.\left(1+\frac{1}{4}\right)\) = \(125\)
⇒ \(x.\left(\frac{4}{4}+\frac{1}{4}\right)\) = \(125\)
⇒ \(x.\frac{5}{4}\) = \(125\)
⇒ \(x\) = \(125\) \(\div\) \(\frac{5}{4}\)
⇒ \(x\) = \(125\) \(.\) \(\frac{4}{5}\)
⇒ \(x\) = \(100\)
*Vậy: \(x\) = \(100\) .
➤ Chúc bạn học tốt!
\(x+20\%\cdot x=125\)
\(\Leftrightarrow x+\frac{1}{5}x=125\)
\(\Leftrightarrow\frac{6}{5}x=125\)
\(\Leftrightarrow x=\frac{625}{6}\)
Vậy....