怎樣算簡便就怎樣算.
①2.43×99+2.43
②6.8+1.25×6.8×8
③(8.14-3.75)÷2.5÷4
④4.58+2.39+(5.42+7.61)
⑤6.3÷2.8
⑥26.7-0.5×0.5-0.75.
解:①2.43×99+2.43
=2.43×(99+1),
=2.43×100,
=243;
②6.8+1.25×6.8×8
=6.8+(1.25×8)×6.8
=6.8+10×6.8,
=6.8+68,
=74.8;
③(8.14-3.75)÷2.5÷4
=4.39÷(2.5×4),
=4.39÷10,
=0.439;
④4.58+2.39+(5.42+7.61)
=(4.58+5.42)+(2.39+7.61)
=10+10,
=20;
⑤6.3÷2.8
=6.3÷0.7÷4,
=9÷4,
=2.25;
⑥26.7-0.5×0.5-0.75
=26.7-(0.25+0.75),
=26.7-1,
=25.7.
分析:①可運用乘法分配律進行簡便運算;
②可運用乘法結(jié)合律進行簡便運算;
③可據(jù)一個數(shù)除以兩個數(shù),等于這個數(shù)除以這兩個數(shù)的積進行簡便運算;
④可運用加法交換律及結(jié)合律進行簡便運算;
⑤一個數(shù)除以兩個數(shù),等于這個數(shù)除以這兩個數(shù)的積,將2.8拆分進行簡便運算;
⑥可據(jù)一個數(shù)減兩個數(shù),等于減去這兩個數(shù)的和進行簡便運算.
點評:完成此類題目要注意分析式中數(shù)據(jù)的特點和內(nèi)在聯(lián)系,然后運用合適的簡便方法進行計算.