21a If one nueral no. takes up 1cm, how many km will all numerals in the
no. (10^6)^10^5 take up ?If it takes 1 second to write a numeral, how
many days will it take to wirte all the numerals in (10^6)^10^5?
b If the no. in (a) is changed to(-10^6)^-10^5, will the length of the
numerals in this no. different from that in the no. in (a)?
F.3 Maths please step show (20 points)
2008-08-15 3:46 am
回答 (1)
2008-08-15 8:55 pm
✔ 最佳答案
21a) ( 106 )^( 105 )= 10^( 6 x 105 )
Then in total, the no. of numerals: 6 x 105 + 1 = 600001 ≈ 600000
600000cm = 6km
If 1s is needed to write a numeral, then time required: 600000s ≈ 7 days
b) ( -106 )^( - 105 )
= ( - 10 )^( - 6 x 105 )
= ( 10 )^( - 6 x 105 )
So in total, the no. of numerals : 6 x 105 + 1 = 600001 which is the same as above
參考: My Maths Knowledge
收錄日期: 2021-04-13 19:16:06
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