题目内容
计算 987654321×123456789-987654320×123456788= .
分析:通过观察,此题中的数字较接近,把数字进行拆分,原式变为987654321×(123456788+1)-987654320×123456788,通过计算,再次运用乘法分配律简算.
解答:解:987654321×123456789-987654320×123456788
=987654321×(123456788+1)-987654320×123456788
=987654321×123456788+987654321-987654320×123456788
=(987654320+1-987654320)×123456788+987654321
=123456788+987654321
=1111111109
故答案为:1111111109.
=987654321×(123456788+1)-987654320×123456788
=987654321×123456788+987654321-987654320×123456788
=(987654320+1-987654320)×123456788+987654321
=123456788+987654321
=1111111109
故答案为:1111111109.
点评:对于此类问题,一定要仔细审题,多次运用运算定律进行简算.
练习册系列答案
相关题目
用计算器计算下面各题,你发现了什么规律
?|
(1)9 ×9+7= |
(2)1 ×81+18= |
|
98 ×9+6= |
12 ×81+27= |
|
987 ×9+5= |
123 ×81+36= |
|
9876 ×9十4= |
1234 ×81+45= |
|
98765 ×9+3= |
12345 ×81+54= |
|
987654 ×9+2= |
123456×81 +63= |
|
9876543 ×9+1= |
1234567 ×81+72= |
|
98765432 ×9+0= |
12345678 ×81+81= |
用计算器计算.
|
(1)1 ×9+2= |
(2)9876543 ×9+1= |
|
12 ×9+3= |
987654 ×9+2= |
|
123 ×9+4= |
98765 ×9+3= |
|
1234 ×9+5= |
9876 ×9+4= |
|
12345 ×9+6= |
![]()
|
123456 ×9+7= |
987 ×9+5= |
|
1234567 ×9+8= |
98 ×9+6= |
|
12345678 ×9+9= |
9 ×9+7= |