The power of ten how to#

Let's look at that a little more visually:ġ0 to the 10th Power = 10 x. So we mentioned that exponentation means multiplying the base number by itself for the exponent number of times. The caret is useful in situations where you might not want or need to use superscript. So basically, you'll either see the exponent using superscript (to make it smaller and slightly above the base number) or you'll use the caret symbol (^) to signify the exponent. There are a number of ways this can be expressed and the most common ways you'll see 10 to the 10th shown are: The exponent is the number of times to multiply 10 by itself, which in this case is 10 times. When we talk about exponentiation all we really mean is that we are multiplying a number which we call the base (in this case 10) by itself a certain number of times.

The power of ten how to#

Let's get our terms nailed down first and then we can see how to work out what 10 to the 10th power is. That might sound fancy, but we'll explain this with no jargon! Let's do it. The following example shows the same quantity written in different ways.So you want to know what 10 to the 10th power is do you? In this article we'll explain exactly how to perform the mathematical operation called 'the exponentiation of 10 to the power of 10'. Prefixes are easier to write and pronounce than powers of 10. These are referred to as regular prefixes and may be used with any SI unit. Most of the prefixes in the table above are multiples of a thousand. ‘Kilo’ comes from the Greek word for 1000 (10 3), and ‘milli’ comes from the Latin word for one thousandth (10 -3). Prefix names have been mostly chosen from Greek words (positive powers of 10) or Latin words (negative powers of 10), although recent extensions of the range of powers of 10 has resulted in the use of words from other languages. For example, where does ‘kilo’ come from? To many people, the choice of prefix names seems strange.

Using the prefix for 10 9 from the table above, this becomes 78 Gm, which is pronounced as ‘seventy-eight gigametres’. The distance from the Earth to Mars is 78 million kilometres, which is 78 x 10 6 km, and this in turn is 78 x 10 9 m. The ‘km’ means kilometre, which is 10 3 m.

For example, in the article Distances in space, it states: When the Space Shuttle goes into space, it orbits about 700 km above the surface of the Earth. The Space revealed resources deal with extremely large distances.In abbreviated form, this length is written as 1 nm. In the Nanoscience resources, it is reported that fingernails grow at about 1 nanometre per second.In abbreviated form, this amount of energy is written as 25 mJ. One unit on the UV index is roughly equivalent to 25 millijoules of UV energy falling per second on a 1 square metre area. In the You, Me and UV resources, information is given about the UV index.The first letter of the SI abbreviation represents the prefix and the second letter represents the base unit. These prefixes are decimal fractions that multiply base units for smaller measurements These prefixes multiply base units for larger measurements For small lengths, the millimetre (10 -3 m) may be the appropriate quantity, whereas for large distances, the kilometre (10 3 m) may be more appropriate. For example, the base unit of length is the metre. Larger and smaller quantities are expressed by using appropriate prefixes with the base unit. they eliminate the confusion of old number names – is a billion a thousand million (USA) or a million million (Europe)?.they are unique, unambiguous letter symbols.there are no long rows of zeros – prefixes replace them.

The advantages of basing the multiples and submultiples on the decimal system are: