问题 解答题

用递等式计算:(能简便的就用简便方法计算,并写出主要计算过程)

(1)38.78-19.59+41.22-30.41

(2)2.74×4.86+4.86×6.26+4.86

(3)0.08×(12.5+2.5)×0.1

(4)25.92+(10.1-14.5×0.2)

(5)0.487×12.5÷48.7

(6)(8.16+2.09)÷[(10.3-9.3)÷0.4].

答案

(1)38.78-19.59+41.22-30.41,

=38.78+41.22-19.59-30.41,

=(38.78+41.22)-(19.59+30.41),

=80-50,

=30;

(2)2.74×4.86+4.86×6.26+4.86,

=(2.74+6.26+1)×4.86,

=10×4.86,

=48.6;

(3)0.08×(12.5+2.5)×0.1,

=(0.08×12.5+0.08×2.5)×0.1,

=(1+0.2)×0.1,

=1.2×0.1,

=0.12;

(4)25.92+(10.1-14.5×0.2),

=25.92+(10.1-2.9),

=25.92+7.2,

=33.12;

(5)0.487×12.5÷48.7,

=0.487÷48.7×12.5,

=0.01×12.5,

=0.125;

(6)(8.16+2.09)÷[(10.3-9.3)÷0.4],

=10.25÷[1÷0.4],

=10.25÷2.5,

=4.1.

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