脫式計算,能簡算的要簡算.
1.21×42-(4.46+0.14)
371×100.1
4.44×25
(0.75+0.2)÷0.25×250%
2006×2006-2005×2005.
解:(1)1.21×42-(4.46+0.14),
=50.82-4.6,
=46.22;
(2)371×100.1,
=371×100+371×0.1,
=37100+37.1,
=37137.1;
(3)4.44×25,
=4×25+0.4×25+0.04×25,
=100+10+1,
=111;
(4)(0.75+0.2)÷0.25×250%,
=0.95÷0.25×2.5,
=3.8×2.5,
=9.5;
(5)2006×2006-2005×2005,
=2006×(2005+1)-2005×2005,
=2006×2005+2006-2005×2005,
=2005×(2006-2005)+2006,
=2005×1+2006,
=4011.
分析:(1)1.21×42-(4.46+0.14),根據(jù)小數(shù)四則混合運算的運算順序,按照小數(shù)思想運算的計算法則進行計算;
(2)371×100.1,運用乘法分配律進行簡算;
(3)4.44×25,意義乘法分配律進行簡算;
(4)(0.75+0.2)÷0.25×250%,把百分數(shù)化成小數(shù),根據(jù)小數(shù)四則混合運算的運算順序,按照小數(shù)思想運算的計算法則進行計算;
(5)2006×2006-2005×2005,應(yīng)用乘法分配律進行簡算.
點評:此題主要考查整數(shù)、小數(shù)四則混合運算,再掌握運算順序和計算法則的基礎(chǔ)上,靈活選擇簡便方法進行計算.