问题 解答题
简算:
①57.5-14.25-15
3
4

②102.31×59
③(
5
6
×10.68+8.52×
5
6
)÷1
3
5

④0.1+0.2+0.3+0.4+…+0.9+0.1+0.11+0.12+…+0.98+0.99.
答案

①57.5-14.25-15

3
4

=57.5-(14.25+15.75),

=57.5-30,

=27.5;

②102.31×59

=102.31×(60-1),

=102.31×60-102.31×1,

=6138.6-102.31,

=6036.29;

③(

5
6
×10.68+8.52×
5
6
)÷1
3
5

=[

5
6
×(10.68+8.52)]÷1
3
5

=

5
6
×19.2×
5
8

=10;

④0.1+0.2+0.3+0.4+…+0.9+0.1+0.11+0.12+…+0.98+0.99

=(0.1+0.9)×9÷2+(0.1+0.99)×90÷2,

=4.5+1.09×45,

=4.5+49.05,

=53.55.

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