用简便方法计算.5×1.25×2×8×11 1.5÷1.25 67-(1

1个回答

  • 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.