We would read this as 10 to the third power. Here, ten is the base and three is the exponent. So how would you write 10 times 10 times 10 or 10000 ? How are you going to write that by using exponents ? We are taking three numbers of 10s and multiplying them together, this would be 10 to the third power.
So eventually, 10 to the second power of 10 times 10 is equal to hundred. In this, the two would be called as exponents and the 10 would be the base. It looks quite fancy but all that means is let's take two 10s and multiply them together and we are going to get one hundred. That's how we can pronounce it as 10 to the power 2. And so 10 times 10, we can rewrite as being equal to, if I have two 10s and I'm multiplying them together, I could write this as 10 to the second power. So the way they do this is through something which is known as exponents. The mathematicians have come up with some notations and some ideas to be able to write things like this, a little bit more elegantly. And imagine if you have thirty 10s that we were multiplying together, it will be very much difficult to calculate or write down like this. It is going to be one that is followed by ten zeros.
This is going to be equal to even the number that is equal to, is going to be quite hard to write. Let's say I were to do this with ten 10s, so if I were to go 10 times 10 just like this : 10×10×10×10×10×10×10×10×10. But at some point, if we do this with enough 10s, it will get pretty hard for us to write. And we could do this with any number of 10s. We could also take three 10s and multiply them together, 10 times 10 times 10 which is equal to one thousand. We could take two 10s and multiply them together, which means 10 times 10, which you know is equal to 100. The powers of 10 are extensively used in scientific notation. For negative powers 10 −n, write “0" followed by n−1 zeros, and then a 1. The power of 10 is easy to remember since we use base 10 of a number system.įor 10 n having ‘n’ a positive integer, just write "1" with n zeros after it. Nonetheless, large numbers carry an intellectual intrigue and are of mathematical interest, and assigning them names is one of the ways in which most of us try to conceptualize and understand them. In certain cases, specialized units are taken help of, such as the light-year particle physicists barn or the astronomer's parsec. When a numerical digit represents a quantity instead of a count, SI prefixes can be used - therefore "femtosecond", not "one quadrillionth of a second'' - although most frequently powers of 10 are used rather than some of the very low and very high prefixes. Now, you can see that almost immediately, without requiring a calculator, we did it shorthand. So the correct answer is 10 27, which is a huge number. What is one trillion times one quadrillion? First, one trillion is 10 12, and one quadrillion is 10 15.
Let's consider the example we just quoted above. All you need to do is to add up the exponents, and you're sorted. It concludes that the multiplication of really large numbers is easy with powers of ten. But what if we ask ''what will be one trillion times one quadrillion?'' Let's say if we ask you ''what are 10 times 1,000?'' Hardly anything- it's just 10,000. Well, powers of ten math are quite helpful when performing math calculations, as well. Maybe you're not sure that it's useful to be able to write numbers in powers of ten math or mega 10 powers.
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