Maths

2006-11-05 6:05 am
If one numberal in a certain number takes up 1 cm, how many km will all the numerals in the number 10^6^10^5 (10的6次方, 6次方又有10的5次方) take up? If it takes 1 second to write a numeral, how many days will it take to write all the numerals in 10^6^10^5 (10的6次方, 6次方又有10的5次方)?

If the number in a) is changed to -10^6^-10^5(-10的6次方, 6次方又有-10的5次方), will the length of the numerals in this number different from that in the number in a)?

回答 (2)

2006-11-05 5:59 pm
✔ 最佳答案
a) 第一件事
我地要了解到次方既特性
例如 10^3^3係等於10^9 (唔信可以用計數機計計)
咁即係話10^3^3=10^(3*3)
你再可以試下2^3^4^5係咪等如2^(3*4*5)


咁知道之後就可以做啦

10^6^10^5=10(6x10x5)
=10^300cm
1km=10^5cm
所以,
10^300cm = (10^300)/10^5
= 10^295km
同樣道理
係時間都係咁既做法
1day=24x60x60

10^300 seconds = 10^300/24/60/60
= 1.1574E+295 days(by excel)


b) by excel, -10^6^-10^5=1E-300=10^(-300)=1/(10^300)
10^6^10^5=1E+300=10^300
理論上個整體長度應該唔會變
要變只會係個高度姐(因為多左1over係上面)

希望無錯同幫到你
參考: 自己
2007-11-04 1:28 am
a)
It should be 6 km and 7 days


收錄日期: 2021-04-12 22:31:23
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20061104000051KK05330

檢視 Wayback Machine 備份