1除以(2除以3)除以(3除以4)除以(4除以5)除以···除以(999除以10000)简算五年级

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2025-03-11 01:53:24
推荐回答(2个)
回答1:

如果最后的数字是 (999÷1000)
1÷(2÷3)÷(3÷4)÷(4÷5)÷(5÷6)÷(6÷7) ....÷(999÷1000)
=1÷2×3÷3×4÷4×5÷5×6÷6×7 .....999×1000
=1÷2× 1000
=0.5×1000
=500

如果最后的数字是 ...(9999÷10000)
1÷(2÷3)÷(3÷4)÷(4÷5)÷(5÷6)÷(6÷7) ....÷(9999÷10000)
=1÷2×3÷3×4÷4×5÷5×6÷6×7 .....9999×10000
=1÷2× 10000
=0.5×10000
=5000

回答2:

1/(2/3)=3/2

3/2/(3/4)=4/2

4/2/(4/5)=5/2

...

=1000/2=500

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