Power of 10 - Explanation and Examples

Are you interested to know about the power of 10? Any integer or whole-valued exponent of the number 10 is called a power of ten in math. A power of ten is the sum of as many tens as the exponent specifies multiplied together. As a result, a power of ten is the number 1, followed by n zeros, where 'n' is the exponent and is bigger than 0. For example, 106 is expressed mathematically as 1,000,000. 

When n is less than zero, the power of ten is represented by the number 1 n followed by a decimal point, and for example, 103 is written as 0.001. The power of ten is a mathematical notation that allows any number to be expressed as a product of ten multiples. Engineers, students, and mathematicians can use the concept of several power of 10 to write down very large or small numbers in simple form without putting a lot of zeros in a row. Let’s see about the power of 10 explanations and examples:

Scientific Notation Regarding Power of 10

The scientific notation is the standard form because scientists used it to represent extremely small and extremely large numbers. Exponents are also the power that 10 is multiplied by. Furthermore, you can discover them in both positive and negative forms. In addition, its positive and negative forms represent multiplication and division, respectively. The ten indexes indicate how many places the decimal points should move to the right in the notation. Consider multiplying 1.35 by 10 to the fourth power to understand better, alternatively, 1.35 104. Then you can multiply it by 1.35 (10 10 10 10), or 1.35 10,000, to get the answer 13,500. Now, if you transfer the decimal place in 1.35 over four places, you get 13,500.

Power of Ten Prefixes

SI prefixes can be used when a numerical digit denotes a quantity rather than a count - for example, femtosecond, not one quadrillionth of a second. However, the most common powers of 10 are used rather than some of the very low and extremely high prefixes. Specialized units, such as the light-year particle physicist’s barn or the astronomer's parsec, are used in some circumstances. Nonetheless, enormous numbers pique our curiosity intellectually and mathematically, and one of the ways you try to grasp and understand them is by giving them names.

Solved Examples

Solve the following expressions:

Log (106) = 6

Log (1027) = 27

Log (10365.2748) = 365.2748

Log (10-5) = -5

Log (x) -5 → x = 105

Log (x) = 6.789 → x = 106.789

Log (x) = -2.23 → x = 10-2.23

Because you utilize the base 10 number system, the power of ten is easy to remember. Simply write 1 with n zeros following it for 10n with 'n' a positive integer. Write "0" followed by n1 zeros, then a 1 for negative powers 10n. In scientific notation, the powers of ten are frequently utilized.

Power of 10

Let's look at the number ten, and you could add two tens together, resulting in 10 times 10, which is 100. You may also add three tens to achieve one thousand by multiplying 10 times ten times 10. This could be done with any number of tens. However, if you do this with enough 10s, it will become quite difficult to write. Let's look at an example and imagine you wanted to do this with ten tens, then do 10 times 10 like this:1 0×10×10×10×10×10×10×10×10.

The Pattern of Power 10

If you look attentively, you will notice that the solution's number of zeros corresponds to the exponent. If the power of 10 is 2, the answer is 100, which has two zeros. Similarly, if the power of 10 is increased to 5, the response 1, 00,000 will have five zeros.

Bottom line

As a result, the above listed are about the power of 10 explanation and example, for easily calculate the power of 10 you can use the steps mentioned above. You can easily calculate its value without wasting time if you follow these tips. Also you can check what is the factorial of 100.

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