请问下面的题目哪些可以使用简便计算?请帮忙把能用简便计算的题目的具体过程告诉我,谢谢了!
(1)35×三十六分之十一(2)101×99-897(3)三又四分之三×8——三又四分之三+3×3.75(4)136×4.06+4.06×64(5)7.02×123+87...
(1)35×三十六分之十一
(2)101×99-897
(3)三又四分之三×8——三又四分之三+3×3.75
(4)136×4.06+4.06×64
(5)7.02×123+877×7.02 展开
(2)101×99-897
(3)三又四分之三×8——三又四分之三+3×3.75
(4)136×4.06+4.06×64
(5)7.02×123+877×7.02 展开
2个回答
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(1)35×三十六分之十一
= (36 - 1) × 11/36
= 11 - 11/36
= 11 × (1 - 1/36)
= (10+1) × 35/36
= (350+35)/36
= 385/36
(2)101×99-897
= (100+1)×(100-1) - 897
= 10000 - 1 - (900 - 3)
= 9100 - 1+3
= 9100 + 2
= 9102
(3)三又四分之三×8——三又四分之三+3×3.75
= 15/4×8 - 15/4 + 3×(375/100)
= 15/4×7 + 3×15/4
= 15/4×10
= 75/2
= 37.5
(4)136×4.06+4.06×64
= 4.06×(136+64)
= 40.6×200
= 8120
(5)7.02×123+877×7.02
= 7.02×(123+877)
= 7.02×1000
= 7020
= (36 - 1) × 11/36
= 11 - 11/36
= 11 × (1 - 1/36)
= (10+1) × 35/36
= (350+35)/36
= 385/36
(2)101×99-897
= (100+1)×(100-1) - 897
= 10000 - 1 - (900 - 3)
= 9100 - 1+3
= 9100 + 2
= 9102
(3)三又四分之三×8——三又四分之三+3×3.75
= 15/4×8 - 15/4 + 3×(375/100)
= 15/4×7 + 3×15/4
= 15/4×10
= 75/2
= 37.5
(4)136×4.06+4.06×64
= 4.06×(136+64)
= 40.6×200
= 8120
(5)7.02×123+877×7.02
= 7.02×(123+877)
= 7.02×1000
= 7020
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