题目内容

【题目】用简便方法计算

8.6×1.01 7.5×2.5﹣2.5×3.5 2.5×7.8×0.04

1.25×3.2×0.25 6.2×9.9 3.5×0.7+5.5×0.7+0.7

【答案①8.686;

②10;

③0.78;

④1;

⑤61.38;

⑥7.

【解析】

试题分析:①把1.01分解为(1+0.01),运用乘法分配律进行简算;

②⑥运用乘法分配律进行简算;

③运用乘法交换与结合律简算;

④把3.2化为0.8×4,运用乘法结合律简算;

⑤把9.9转化为为(10﹣0.1),运用乘法分配律进行简算.

解:①8.6×1.01

=8.6×(1+0.01)

=8.6×1+8.6×0.01

=8.6+0.086

=8.686;

②7.5×2.5﹣2.5×3.5

=(7.5﹣3.5)×2.5

=4×2.5

=10;

③2.5×7.8×0.04

=2.5×0.04×7.8

=0.1×7.8

=0.78;

④1.25×3.2×0.25

=(1.25×0.8)×(4×0.25)

=1×1

=1;

⑤6.2×9.9

=6.2×(10﹣0.1)

=6.2×10﹣6.2×0.1

=62﹣0.62

=61.38;

⑥3.5×0.7+5.5×0.7+0.7

=(3.5+5.5+1)×0.7

=10×0.7

=7.

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