Question

Áp dụng các tính chất của phép cộng và phép nhân, tính nhanh:

a)(1989.1990 +3978) : (1992.1991 - 3984) 

b)(637.527 - 189) : (526.637+ 448)

Answer 1

\(a)\)\(\left(1989.1990+3978\right)\div\left(1992.1991-3984\right)\)

\(=\)\(\left(1989.1990+1989.2\right)\div\left(1992.1991-1992.2\right)\)

\(=\)\(\left[1989.\left(1990+2\right)\right]\div\left[1992.\left(1991-2\right)\right]\)

\(=\)\(\left(1989.1991\right)\div\left(1992.1989\right)\)

\(=\)\(1\)

Answer 2

\(b)\)\(\left(637.527-189\right)\div\left(526.637+448\right)\)

\(=\)\(\left[637.\left(526-1\right)-189\right]\div\left(526.637-448\right)\)

\(=\)\(\left[637.526+\left(637-198\right)\right]\div\left(637.526-448\right)\)

\(=\)\(\left(636.526+448\right)\div\left(637.526-448\right)\)

\(=\)\(1\)