问题 解答题
计算下面各题,能用简便方法计算的要用简便方法计算.
8
9
×[
3
7
÷(
2
3
+
1
7
)]
(873×477-198)÷(476×874+199)
199.9×19.98-199.8×19.97
4
5
×
12
13
+16×
1
5
+
1
5
×
4
13
答案

(1)

8
9
×[
3
7
÷(
2
3
+
1
7
)],

=

8
9
×[
3
7
÷
17
21
],

=

8
9
×
9
17

=

8
17

(2)(873×477-198)÷(476×874+199),

=[873×(476+1)-198]÷[476×(873+1)+199],

=[873×476+873-198]÷[476×873+476+199],

=[873×476+675]÷[476×873+675],

=1;

(3)199.9×19.98-199.8×19.97,

=199.9×19.98-19.98×199.7,

=(199.9-199.7)×19.98,

=0.2×19.98,

=3.996;

(4)

4
5
×
12
13
+16×
1
5
+
1
5
×
4
13

=

1
5
×
48
13
+16×
1
5
+
1
5
×
4
13

=(

48
13
+
4
13
+16)×
1
5

=(4+16)×

1
5

=20×

1
5

=4.

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