问题 解答题

脱式计算(能简算的要简算).

(1)12.5×(36-7.2)÷3.6

(2)33.33×3334+22.22×9999

(3)8.4×2012.1+(2012.1+12.5)×1.6

(4)7.5×2.3+1.9×2.5+12.5×0.4

(5)(1+1.2)+(2+1.2×2)+(3+1.2×3)+…+(99+1.2×99)+(100+1.2×100)

答案

(1)12.5×(36-7.2)÷3.6,

=12.5×36÷3.6-12.5×7.2÷3.6,

=12.5×10-12.5×2

=125-25,

=100;

(2)33.33×3334+22.22×9999,

=33.33×3334+33.33×6666,

=33.33×(3334+6666),

=33.33×10000,

=333300;

(3)8.4×2012.1+(2012.1+12.5)×1.6,

=8.4×2012.1+2012.1×1.6+12.5×1.6,

=(8.4+1.6)×2012.1+12.5×0.8×2,

=10×2012.1+10×2,

=20121+20,

=20141;

(4)7.5×2.3+1.9×2.5+12.5×0.4,

=2.5×6.9+1.9×2.5+5,

=2.5×(6.9+1.9)+5,

=2.5×8.8+5,

=2.5×8×1.1+5,

=20×1.1+5,

=22+5,

=27;

(5)(1+1.2)+(2+1.2×2)+(3+1.2×3)+…+(99+1.2×99)+(100+1.2×100),

=1+2+3+…+99+100+1.2×1+1.2×2+1.2×3+…+1.2×99++1.2×100,

=(1+100)×100÷2+1.2×(1+100)×100÷2,

=5050+6060,

=11110.

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