题目内容

(2013?陇川县模拟)用用简便方法计算,
①361-99
3
4
+3.8+3.8+3.8+3.8
③5×
79
78
④(
1
51
-
2
87
)÷
1
29
+22÷51.
分析:①减去99,看作减去100,多减了1,再加上1即可;
②把4个3.8相加写成乘法形式,再计算;
③79拆成78+1,再根据乘法分配律进行计算;
④根据乘法分配律进行计算.
解答:解:
①361-99,
=361-100+1,
=261+1,
=262;

3
4
+3.8+3.8+3.8+3.8,
=
3
4
+3.8×4,
=
3
4
+15.2,
=15.95;

③5×
79
78

=5×
78+1
78

=5×(1+
1
78
),
=5×1+5×
1
78

=5+
5
78

=5
5
78


④(
1
51
-
2
87
)÷
1
29
+22÷51,
=(
1
51
-
2
87
)×29+
22
51

=
1
51
×29-
2
87
×29+
22
51

=
29
51
-
2
3
+
22
51

=
29
51
+
22
51
-
2
3

=1-
2
3

=
1
3
点评:考查了运算定律与简便运算,注意运算顺序和运算法则,灵活运用所学的运算律简便计算.
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