题目内容
【题目】计算:(能用简便方法的用简便方法算法)
420×(
+
)
×99+
×7+
×11
×
÷
÷
×
÷
×
÷
.
【答案】(1)420×(
+
)
=420×
+420×![]()
=180+350
=530;
(2)
×99+![]()
=
×(99+1)
=
×100
=16;
(3)
×7+
×11
=
×(7+11)
=
×18
=10;
(4)
×
÷![]()
=
×
×3
=5;
(5)
÷
×![]()
=
×
×![]()
=
×(
×
)
=
×![]()
=
;
(6)
÷
×
÷![]()
=
×
×
×![]()
=(
×
)×(
×
)
=
×![]()
=
.
【解析】
试题分析:(1)(2)(3)运用乘法分配律简算;
(4)先把除法变成乘法,再约分求解;
(5)(6)先把除法变成乘法,再根据乘法结合律简算.
解:(1)420×(
+
)
=420×
+420×![]()
=180+350
=530;
(2)
×99+![]()
=
×(99+1)
=
×100
=16;
(3)
×7+
×11
=
×(7+11)
=
×18
=10;
(4)
×
÷![]()
=
×
×3
=5;
(5)
÷
×![]()
=
×
×![]()
=
×(
×
)
=
×![]()
=
;
(6)
÷
×
÷![]()
=
×
×
×![]()
=(
×
)×(
×
)
=
×![]()
=
.
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