In 2017 , the world's fastest computer could perform 93,014,600,000,000,000 calculations per sec

In 2017 , the world's fastest computer could perform...

Key Concepts

Rate Calculation and Scaling

Rate calculation involves determining how many events occur within a specific time interval. When given a rate per second, scaling that rate to a minute or an hour requires multiplication by the number of seconds in those intervals. This approach is crucial for working with large-scale computations and performance metrics, as it allows for a clear understanding and comparison of different rates over time.

Unit Conversion

Unit conversion involves changing a quantity expressed in one set of units to an equivalent quantity in another set of units. In the context of time measurement, it means converting seconds to minutes by multiplying by 60, and seconds to hours by multiplying by 3600. This concept is fundamental in many scientific and engineering applications, ensuring that quantities are compared and computed in consistent units.

Transcript

00:01 The number on the screen here is representing the number of calculations that the fastest computer can do in a second.

00:06 What we want to do is figure out what would this amount be in a minute and in an hour.

00:12 So if this is done in one second, what we're going to do is take this first change into scientific notation and then multiply it by 60 because there are 60 seconds in one minute.

00:21 So the first things first is let's change this to scientific notation.

00:25 So i'm going to move the decimal points so it's found between the nine and the three.

00:29 So this becomes 9 .3.

00:31 Sorry, let's keep going.

00:33 Zero, one, four, six, times 10 to the what? well, let's count how many times the decimal point moves.

00:39 Three, six, nine, twelve, fifteen, and then one more to get 16.

00:45 So this is the amount that's happening per second.

00:48 So now we're going to multiply it by 60.

00:50 So just to follow suit, we're going to change that into a scientific notation.

00:55 So this is the same thing saying six times 10 to the first power.

00:59 So we're going to multiply this by 6 times 10 to the first.

01:03 Now, when we multiply, we can multiply that number out front.

01:07 So the 9 .30146, we're going to multiply that through by 6.

01:13 And we get the answer of 55 .80876.

01:19 And then for the exponents, we're going to add them.

01:22 So 16 plus 1 is 17.

01:25 Now, as an actual number, we're going to move that decimal point to the right 17 times.

01:31 So in terms of numbers, there's 1, 2, 3, 4, 5.

01:35 So if you move it to the right 5 units, we're going to have to add on 12 more zeros to get a total of 17.

01:42 So this would become for every minute, 5, 5, 80, 7, 6, followed by 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 9 ,000, 5, 6, 7, 9 ,000, 6, 7, 9 ,000.

01:55 10, 11, 12 zeros.

01:57 And we can go ahead and throw those commas in there so we can get an idea on how large this number really is.

02:02 Now, if we wanted to keep this number in scientific notation, instead, i'm going to continue doing some work over here...

Please give Ace some feedback