tính nhanh

\(\frac{1996x1995-996}{1000+1996x1994}\)

\(=\frac{1996x\left(1994+1\right)-996}{1996x1994+1000}\)

\(=\frac{1996x1994+1996x1-996}{1996x1994+1000}\)

\(=\frac{1996x1994+1996-996}{1996x1994+1000}\)

\(=\frac{1996x1994+1000}{1996x1994+1000}=1\)

\(\frac{1996\cdot1995-996}{1000+1996\cdot1994}\)

\(=\frac{1996\cdot\left(1994+1\right)-996}{1000+1996\cdot1994}\)

\(=\frac{1996\cdot1994+1996-996}{1000+1996\cdot1994}\)

\(=\frac{1996\cdot1994+1000}{1000+1996\cdot1994}=1\)

Dạng toán: Tính nhanh ( vận dụng tính chất kết hợp phân phối giữa phép nhân và phép cộng)
Chúc em học tốt!

thanks chị

\(\frac{1996x1995-996}{1000+1996x1994}\)

\(=\frac{1996x1994+\left(1996-996\right)}{1000+1996x1994}\)

\(=\frac{1996x1994+1000}{1000+1996x1994}\)

= 1

\(\frac{1996.1995-996}{1000+1996.1994}=\frac{1996.\left(1994+1\right)-996}{1000+1996.1994}=\frac{1996.1994+1996-996}{1000+1996.1994}\)

\(=\frac{1996.1994+1000}{1000+1996.1994}=1\)

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=0 nha bạn

1996 x 1995 - 996 - 1000 - 1996 x 1994

= 1996 x 1995 - 1996 - 1996 x 1994

= 1996 ( 1995 - 1 - 1994 )

= 1996 . 0

= 0

1996x1995-996-1000-1996x1994=0

Ta có: \(1996\cdot1995-996-100-1996\cdot1994\)

\(=1996\left(1995-1994\right)-1996\)

\(=1996-1996=0\)

Ta có: −996−1000

=(1996⋅1995−1996⋅1994)−(996+1000)

=1996(1995−1994)−1996

=1996−1996

=0

a)\(\frac{16x25+44\text{x}100}{29\text{x}96+142\text{x}48}\)

=\(\frac{4\text{x}4\text{x}25+11\text{x}4\text{x}4\text{x}25}{29\text{x}2\text{x}48+71\text{x}\text{ }2\text{x}48}\)

=\(\frac{\left(1+11\right)x4\text{x}4\text{x}25}{\left(29+71\right)x2\text{x}48}\)

=\(\frac{12\text{x}4\text{x}100}{100\text{x}2\text{x}48}\)

=\(\frac{48\text{x}100}{48\text{x}100\text{x}2}\)

=\(\frac{1}{2}\)

C. trên máy có 1 ô ghi ''Toán'' nhấn vào đó tìm hình phân số là xong

Ta có: \(1996\cdot1995-996-100-1996\cdot1994\)

\(=1996\left(1995-1994\right)-1996\)

\(=1996-1996=0\)