问题 解答题

利用简便方法计算.

3.74×2.85+8.15×3.74-3.74;

99.99×0.8+11.11×2.8;

31.4×0.68+314×0.032;

3.46×(2.8-1.3)+1.5×1.54;

22.8×98+45.6;

999.9×0.28+0.6666×80;

5.2×11111+66666×0.8;

20.05×39+200.5×4.1+40×10.025.

答案

(1)3.74×2.85+8.15×3.74-3.74

=3.74×(2.85+8.15-1)

=3.74×10

=37.4;

(2)99.99×0.8+11.11×2.8

=11.11×7.2+11.11×2.8

=11.11×(7.2+2.8)

=11.11×10

=111.1;

(3)31.4×0.68+314×0.032

=314×0.068+314×0.032

=314×(0.068+0.032)

=314×0.1

=31.4;

(4)3.46×(2.8-1.3)+1.5×1.54

=3.46×1.5+1.5×1.54

=(3.46+1.54)×1.5

=5×1.5

=7.5;

(5)22.8×98+45.6

=22.8×98+22.8×2

=22.8×(98+2)

=22.8×100

=2280;

(6)999.9×0.28+0.6666×80

=3333×0.084+3333×0.016

=3333×(0.084+0.016)

=3333×0.1

=333.3;

(7)5.2×11111+66666×0.8

=5.2×11111+11111×4.8

=(5.2+4.8)×11111

=10×11111

=111110;

(8)20.05×39+200.5×4.1+40×10.025

=200.5×3.9+200.5×4.1+40×10.025

=(3.9+4.1)×200.5+40×10.025

=8×200.5+40×10.025

=8×200.5+2×200.5

=(8+2)×200.5

=10×200.5

=2005.

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