列式計算:
(1)1.5與3的和除以5與3的差,商是多少?
(2)在一個除法算式里,商和余數(shù)都是5,并且被除數(shù)、除數(shù)、商和余數(shù)的和是81.被除數(shù)、除數(shù)各是什么數(shù)?
(3)某數(shù)的值比1.2的1倍多2.1,這個數(shù)是多少?
解:(1)(1.5+3)÷(5-3),
=4.5÷2,
=2.25;
答:商是2.25.
(2)設除數(shù)是x,
5x+5+x+5+5=81,
6x+15=81,
6x+15-15=81-15,
6x÷6=66÷6,
x=11;
把x=11代入5x+5=55+5=60;
答:被除數(shù)是60,除數(shù)是11.
(3)1.2×1+2.1
=1.2+2.1,
=3.3.
答:這個數(shù)是:3.3.
分析:(1)先算出1.5+3=4.5和5-3=2,依據(jù)題意解答,
(2)依據(jù)被除數(shù)=除數(shù)×商+余數(shù),設除數(shù)是x,再根據(jù)被除數(shù)+除數(shù)+商+余數(shù)=81解答,
(3)先求出1.2×1=1.2,再加2.1解答.
點評:解答此類題目的關鍵是,正確根據(jù)題目中給出的數(shù)量之間的關系,運用四則運算方法解答.(2)的關鍵是找出等量關系式:被除數(shù)=除數(shù)×商+余數(shù).