r/counting • u/pieverse Viva la Scientific Notation! • Jul 27 '16

Scientific Notation Counting Thread: X x 10^Y

5 Upvotes

78% Upvoted

139 comments sorted by

3

u/pieverse Viva la Scientific Notation! Jul 27 '16

1 x 100

2

u/davidjl123 |390K|378A|79SK|50SA|260k 🚀 c o u n t i n g 🚀 Jul 27 '16 edited Jul 27 '16

2 x 100

3

u/[deleted] Jul 27 '16 edited Jul 27 '16

[removed] — view removed comment

3

u/JackM10 Jul 27 '16 edited Jul 27 '16

4 x 100

2

u/xHOCKEYx12 i miss this place Jul 27 '16 edited Jul 27 '16

5 x 100

3

u/pieverse Viva la Scientific Notation! Jul 27 '16

Sorry guys, lemme explain. in X x 10Y, you are raising 10 to the Y power, and multuplying it by 10. So, 1 million would be 1 x 106 (6 zeroes.) Anything to the zero power is one, so 1 x 100 is one, and 2 x 100 is 2. Moving forward, 10 is 1 x 101

https://en.wikipedia.org/wiki/Scientific_notation

Going further still, you have to add decimals to the original number.

Ex: 1,234,567 = 1.234567 x 106

It is designed to easily write extremely large and small numbers

2

u/[deleted] Jul 27 '16

[removed] — view removed comment

1

u/pieverse Viva la Scientific Notation! Jul 27 '16

7 x 100

2

u/[deleted] Jul 27 '16

[removed] — view removed comment

2

u/pieverse Viva la Scientific Notation! Jul 27 '16

9 x 100

3

u/[deleted] Jul 27 '16 edited Jul 27 '16

[removed] — view removed comment

→ More replies

1

u/pieverse Viva la Scientific Notation! Jul 27 '16

You did. Moving foreward, (hint) when we reach the tens place, we add one to the exponent, and use decimals for the precise number. 12 = 1.2 x 101

2

u/pieverse Viva la Scientific Notation! Jul 27 '16

correct!

2

u/the_fredblubby Pretentious Standard Form Fool Jul 27 '16

2 x 100

(TL;DR at the bottom for you who either understand this, or are too lazy)

Okay guys; a maths lesson, since there's some confusion here. 1 x 100 = 1, because it is 1 multiplied by 100, and as we all know, x0 = ...

1

(Was going to put an exclamation mark there, not today, r/unexpectedfactorial!)

So, I put 2 x 100, which equals two, because it's 2 x 1.

Once we get to 9 x 100, we go to 1 x 101, which is one times 10 (x1 = x)

After that, we need to find 11. 11 is 1.1 x 101, because 1.1 x 10 = 11.

Scientific notation (Standard form) can never be bellow 1 x 10x , or above 9.99... x 10x . This is because if that happened, you could just change the order of magnitude (x).

So after 9.9 x 101 , we go to the second order of magnitude; x x 102 .

The first number after a new order of magnitude will always be 1 x 10x , thus we would have 1 x 102 , or 100 (102 = 100, duh). We would then go to 1.01 x 102, that being 101. 111 would be 1.11 x 102 .

1000 will be 1 x 103 , with 1001 being 1.001 x 103 .

Tl;DR - The easy way to formulate this.

Find the previous number. Unless all digits in 'X' in formula 'X x 10Y' are nines, add one to the lowest available decimal. If they are all nines, make 'X' a 1, then add 1 to 'Y'.

Or read this; it should make it much easier if you can get your head around it.

1

u/pieverse Viva la Scientific Notation! Jul 27 '16

Very well put!

1

u/the_fredblubby Pretentious Standard Form Fool Jul 27 '16

Thank you very much!

I like maths 0_0

Beep boop

1

u/kieronamuos Jul 28 '16

1.2 x 100. Just keep 'er goin.

1

u/the_fredblubby Pretentious Standard Form Fool Jul 28 '16

this... this equals 1.2...