问题 解答题
计算或解方程,能简算的要简算
10.1×87
2014×
2012
2013

5(x-1.6)=41×0.5
(3.42×4.7+0.83×34.2-3.42×3
0.8+9.8+99.8+999.8+9999.8
3.65乘8.7与5.9的差,所得的积再除以0.7得多少?
答案

①10.1×87

=(10+0.1)×87

=870+8.7

=878.7;

②2014×

2012
2013

=(2013+1)×

2012
2013

=2013×

2012
2013
+1×
2012
2013

=2012+

2012
2013

=2012

2012
2013

③5(x-1.6)=41×0.5

5x-8=20.5

5x-8+8=20.5+8

5x=28.5

5x÷5=28.5÷5

x=5.7;

④3.42×4.7+0.83×34.2-3.42×3

=3.42×4.7+8.3×3.42-3.42×3

=(4.7+8.3-3)×3.42

=10×3.42

=34.2;

⑤0.8+9.8+99.8+999.8+9999.8

=(1-0.2)+(10-0.2)+(100-0.2)+(1000-0.2)+(10000-0.2)

=(1+10+100+1000+10000)-(0.2+0.2+0.2+0.2+0.2)

=11111-0.2×5

=11111-1

=11110;

⑥3.65×(8.7-5.9)÷0.7

=3.65×2.8÷0.7

=3.65×4

=14.6.

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