HSC Question (1 Viewer)

[ShAzABoB]

2001 HSC Question

I dont know what to do... this is from 2001 HSC paper

We know that 2<SUP>10</SUP>=1024, so that 2<SUP>10</SUP> can be represented by a 4 digit numeral. How many digits are there in 2<SUP>1000</SUP> when written as a numeral?

also does anyone have the answers to the 2001 HSC papers...? im doing it but cant mark it

 

[SoulSearcher]

Re: 2001 HSC Question

Well, looking at the answers,
10¹ = 10 (2 digits)
10² = 100 (3 digits)
10³ = 1000 (4 digits)

From i),
2¹⁰⁰⁰ = 10^301.030 [if log_ax = y, then x = a^y]
Therefore, from the pattern above, 2¹⁰⁰⁰ has 302 digits.

 

[ShAzABoB]

oh.... ic thanks =)

ur always here lol and ur HSC isnt this year? are you in year 11?

 

[SoulSearcher]

I'm addicted to BoS

Yes, I am in year 11, but I have already done the 2 unit maths HSC exam and am going to do the extension 1 maths exam this year

 

[ShAzABoB]

hmmm ic... accelerated student i assume? good for you and yea... you're addicted... haha

 

[SoulSearcher]

Assumed correctly

Indeed I am

 

[gamecw]

oh.... ic thanks =)

ur always here lol and ur HSC isnt this year? are you in year 11?

im always here too, u can always pm me for more questions =)

 

[B35tY]

This guy never stops...

Can't you stalk her in just one thread?

 

[ShAzABoB]

i would have been asleep by the time you got here =P took you 2 hours...

thanks anyway

 

[ShAzABoB]

Re: 2001 HSC Question

also does anyone have the answers to the 2001 HSC papers...? im doing it but cant mark it

anyone???

 

[gamecw]

This guy never stops...

Can't you stalk her in just one thread?

hey its a free world! i can stalk whoeva i want!

i would have been asleep by the time you got here =P took you 2 hours...

thanks anyway

you're welcomed

also does anyone have the answers to the 2001 HSC papers...? im doing it but cant mark it

iv looked lastnight, but cudnt find any
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[Riviet]

Re: 2001 HSC Question

also does anyone have the answers to the 2001 HSC papers...? im doing it but cant mark it

I've got them in my Success book, but my scanner isn't working.

Did you have any specific questions from the paper? Feel free to post them up.

 

[B35tY]

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hey its a free world! i can stalk whoeva i want!

If you're gonna get technical, she has the right to NOT be stalked

But hey, it's not my battle.

 

[Getteral09]

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If you're gonna get technical, she has the right to NOT be stalked

But hey, it's not my battle.

hahaha. you guys r funni

 

[ShAzABoB]

haha how do i activate my rights?

 

[followme]

hey, i hav an interesting question. I tried to work this question out using AP series, and the answer i got is 301. tell me where did i go wrong.

2^10 ----> 4 digits
2^20-----> 7 digits
2^30-----> 10 digits

ie term1=4 , and common difference is 3

it seems to work for 2^30 ie n=3. so 4+(3-1)*3=10 digits

but for 2^1000, n=100
ie 4+(100-1)*3=301???

 

[gamecw]

hey, i hav an interesting question. I tried to work this question out using AP series, and the answer i got is 301. tell me where did i go wrong.

2^10 ----> 4 digits
2^20-----> 7 digits
2^30-----> 10 digits

ie term1=4 , and common difference is 3

it seems to work for 2^30 ie n=3. so 4+(3-1)*3=10 digits

but for 2^1000, n=100
ie 4+(100-1)*3=301???

i dont think its right to solve this using AP series,

by using soulsearcher's method

2^970 --> 10^291.99 = 292 digits
2^980 --> 10^295.01 = 296 digits

the common difference shifts to 4 at that point. since the common difference changes, the series is not arithmetic.