分析:①(628-124)÷4先算628-124,再算除法;
②37×2+47先算37×2,再算加法;
③105×2×5利用乘法的结合律变成105×(2×5)计算简便;
④198÷9÷2变成198÷(9×2)计算简便;
⑤642÷6×3从左到右依次计算;
⑥3015÷5-2170÷7,3015÷5和2170÷7同时计算,再算减法.
解答:解:①(628-124)÷4,
=504÷4,
=126;
②37×2+47,
=74+47,
=121;
③105×2×5,
=105×(2×5),
=105×10,
=1050;
④198÷9÷2,
=198÷(9×2),
=198÷18,
=11;
⑤642÷6×3,
=107×3,
=321;
⑥3015÷5-2170÷7,
=603-310,
=293.
点评:此题主要考查整数的四则混合运算的运算顺序和应用运算定律进行简便计算.