解题思路:①5×1.25×2×8×11,运用乘法交换律和结合律简算;
②1.5÷1.25,根据商不变的性质简算;
③67-(14.67+15.3),根据减法的运算性质简算;
④100.1×99+100.1,运用乘法分配律简算;
⑤4×0.125×12.5,运用乘法结合律简算;
⑥63×10.1,运用乘法分配律简算;
⑦0.4×1.38×25÷0.46,运用乘法交换律和结合律简算;
⑧70.1-9.9,根据减法的运算性质简算.
①5×1.25×2×8×11
=(5×2)×(1.25×8)×11
=10×10×11
=1100;
②1.5÷1.25
=(1.5×8)÷(1.25×8)
=12÷10
=1.2;
③67-(14.67+15.3)
=67-29.97
=67-(30-0.03)
=67-30+0.03
=37.03;
④100.1×99+100.1
=100.1×(99+1)
=100.1×100
=10010;
⑤4×0.125×12.5
=(4×0.125)×12.5
=0.5×12.5
=6.25;
⑥63×10.1
=63×10+63×0.1
=630+6.3
=636.3;
⑦0.4×1.38×25÷0.46
=(0.4×25)×(1.38÷0.46)
=10×3
=30;
⑧70.1-9.9
=70.1-(10-0.1)
=70.1-10+0.1
=60.2.
点评:
本题考点: 运算定律与简便运算.
考点点评: 此题考查的目的是理解掌握乘法的运算定律、减法、除法的运算性质,并且能够灵活运用这些运算定律和运算性质进行简便计算.