问题 解答题
脱式计算(能简算的要简算)
①2009×97.75+4018×1.125
4.02×8.1×
3
5
÷(0.6×0.81)

③9999×8888÷6666
3.6×1994
2
5
+2006.9×6
2
5

⑤(1+0.93+0.34)×(0.93+0.34+0.65)-(1+0.93+0.34+0.65)×(0.93+0.34)
0.
3
+0.1
1
+0.1
2
+0.1
3
+0.1
4
+0.1
5
答案

①2009×97.75+4018×1.125,

=2009×97.75+2009×2×1.125,

=2009×(97.75+2.25),

=2009×100,

=200900;

②4.02×8.1×

3
5
÷(0.6×0.81),

=4.02×8.1×0.6÷0.6÷0.81,

=4.02×(8.1÷0.81)×(0.6÷0.6),

=4.02×10×1,

=40.2;

③9999×8888÷6666,

=9999×8×1111÷6666,

=9999×8×(1111÷6666),

=9999×8×

1
6

=13332;

3.6×1994

2
5
+2006.9×6
2
5

=3.6×1994.4+2006.9×6.4,

=3.6×(2000-5.6)+(2000+6.9)×6.4,

=(3.6+6.4)×2000-3.6×5.6+6.9×6.4,

=10×2000+6.9×6.4-3.6×5.6,

=20000+0.3×23×0.8×8-0.3×12×0.8×7,

=20000+0.3×0.8×(23×8-12×7),

=20000+0.24×(184-84),

=20000+24,

=20024;

⑤设1+0.93+0.34=a,1+0.93+0.34+0.65=b,

(1+0.93+0.34)×(0.93+0.34+0.65)-(1+0.93+0.34+0.65)×(0.93+0.34),

=a×(b-1)-b×(a-1),

=ab-a-ab+b,

=b-a,

=(1+0.93+0.34+0.65)-(1+0.93+0.34),

=0.65;

0.

3
+0.1
1
+0.1
2
+0.1
3
+0.1
4
+0.1
5

=

30
90
+
10
90
+
11
90
+
12
90
+
13
90
+
14
90

=1.

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