Homework Help

Use scientific notation and round to the nearest tenth. `(900!)/(870!)` I am having...

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novjb | (Level 1) Salutatorian

Posted June 11, 2013 at 6:42 PM via web

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Use scientific notation and round to the nearest tenth.

`(900!)/(870!)`

I am having problems calculating this. Would it be `2.6*10^88` or `2.6*10^89` ? 

Thanks in advance

 

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted June 11, 2013 at 7:04 PM (Answer #1)

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Express `(900!)/(870!)` in scientific notation:

`(900!)/(870!)=(900*899*898 * * * 872*871*870!)/(870!)`

`=900*899*898 * * * 872*871`

`~~2.600366137 "x" 10^88`

So `2.6 "x" 10^88` is the answer you seek.

--------------------------------------------------------------------

The full product:

2600366137130711071661894296809544308340542942887844879291075418031966\
6088443904000000000

 

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