Log Calculator Power of 10 calculator helps you quickly multiply the number 10 by itself a certain number of times such as \( 10^{10} \) (10 x 10), \( 10^{100} \) (10 x 100), \(10^{1000}\) (10 x 1000), and so on.
What is a power of 10?
A power of 10 is a way of writing very large or very small numbers in a more compact way. It's based on multiplying a number by itself a certain number of times. For example, 10 raised to the power of 2 \(10^2\) is equal to 10 x 10 = 100.
Base:
The base is the number that is being multiplied by itself. In the expression \(10^{2}\), the base is 10.
Exponent:
The exponent is the number of times the base is being multiplied by itself. In the expression \(10^{2}\), the exponent is 2.
How to Calculate Power of 10?
The best way to calculate the power of 10 is using the power of 10 calculator. But if your goal is to calculate it manually, follow the example:
Example:
Let's solve \(5 \times 10^2\) using the power of 10 formula.
The formula for powers of 10 is:
$$ a \times 10^n $$
where,
- a – Is a number and
- n – Is the exponent or power of 10
In this case, we have a = 5 and n = 2.
To calculate \(5 \times 10^2\) using the formula, we multiply 5 by 10 raised to the power of 2. This means 10 multiplied by itself 2 times, which equals 100.
So, \(5 \times 10^2\) is 5 multiplied by 100, which equals 500.
Therefore, \(5 \times 10^2 = 500\)
Power of 10 Prefixes:
You can explore all the prefixes of the 10th power from the following table such as:
Powers of 10 Table with Prefixes
| Prefix | Symbol | Powers of 10 | Value | Example |
|---|---|---|---|---|
| yocto- | y | 10-24 | 0.000000000000000000000001 | 1 yoctometer = 1 × 10-24 meters |
| zepto- | z | 10-21 | 0.000000000000000000001 | 1 zeptometer = 1 × 10-21 meters |
| atto- | a | 10-18 | 0.000000000000000001 | 1 attometer = 1 × 10-18 meters |
| femto- | f | 10-15 | 0.000000000000001 | 1 femtometer = 1 × 10-15 meters |
| pico- | p | 10-12 | 0.000000000001 | 1 picometer = 1 × 10-12 meters |
| nano- | n | 10-9 | 0.000000001 | 1 nanometer = 1 × 10-9 meters |
| micro- | μ | 10-6 | 0.000001 | 1 micrometer = 1 × 10-6 meters |
| milli- | m | 10-3 | 0.001 | 1 millimeter = 1 × 10-3 meters |
| centi- | c | 10-2 | 0.01 | 1 centimeter = 1 × 10-2 meters |
| deci- | d | 10-1 | 0.1 | 1 decimeter = 1 × 10-1 meters |
| - | - | 1 | 1 | 1 meter |
| deca- | da | 101 | 10 | 1 decameter = 10 meters |
| hecto- | h | 102 | 100 | 1 hectometer = 100 meters |
| kilo- | k | 103 | 1,000 | 1 kilometer = 1,000 meters |
| mega- | M | 106 | 1,000,000 | 1 megameter = 1,000,000 meters |
| giga- | G | 109 | 1,000,000,000 | 1 gigameter = 1,000,000,000 meters |
| tera- | T | 1012 | 1,000,000,000,000 | 1 terameter = 1,000,000,000,000 meters |
| peta- | P | 1015 | 1,000,000,000,000,000 | 1 petameter = 1,000,000,000,000,000 meters |
| exa- | E | 1018 | 1,000,000,000,000,000,000 | 1 exameter = 1,000,000,000,000,000,000 meters |
| zetta- | Z | 1021 | 1,000,000,000,000,000,000,000 | 1 zettameter = 1,000,000,000,000,000,000,000 meters |
| yotta- | Y | 1024 | 1,000,000,000,000,000,000,000,000 | 1 yottameter = 1,000,000,000,000,000,000,000,000 meters |
FAQs:
What is 10 to the Power of 3?
10 to the power of 3 (written as \(10^3\)) is the same as 10 multiplied by itself three times. It is equal to 1,000.
What is 10 to the Power of 10?
10 to the power of 10 (written as \(10^{10}\)) equals 10 multiplied by itself 10 times. So, \(10^{10}\) is equal to 10,000,000,000, which is 10 billion.
What is Meant by 2 to the Power of 10?
2 to the power of 10 is the same as 2 multiplied by itself 10 times. It is equal to 1,024.
References:
Wikipedia.org: Power of 10, Scientific notation
Splashlearn.com: Power of 10 – Introduction, What is the Power of Ten? Positive and Negative Exponents