Question

27×6.25+53×3.75的简便运算？

求27×6.25+53×3.75的简便运算方法。

Answer 1

原式=27x6.25+（54-1）x3.75
=27（6.25+7.5）-3.75
=27x13.75-3.75
=27（10+3.75）-3.75
=270+3.75（27-1）
=270+10x3.75x2+6x3.75
=270+37.5+37.5+22.5
=270+75+22.5
=270+100-2.5
=367.5

Answer 2

27×6.25+53×3.75
=27×6.25+53×（10-6.25）
=27×6.25+530-53×6.25
=（27-53）×6.25+530
=-26×6.25+530
=-162.5+530
=367.5

Answer 3

6.25=5×1.25 3.75=3×1.25
27×6.25+53×3.75
=27×5×1.25+53×3×1.25
=135×1.25+159×1.25
（提取公因式1.25）=（135+159）×1.25=294×1.25=367.5