10 to the Power of 10 is Called
In mathematics, exponential notation is a shorthand way to express repeated multiplication of a number by itself. For example, 2^3 means 2 multiplied by itself 3 times, or 2 × 2 × 2. But what about 10 to the power of 10? What is it called?
The Answer: 10 Billion
10 to the power of 10, or 10^10, is equal to 10 billion. That's a 1 followed by 10 zeros: 10,000,000,000.
Understanding Exponential Notation
To understand why 10^10 is equal to 10 billion, let's break down exponential notation:
- The base number is 10.
- The exponent, or power, is 10.
- When we raise 10 to the power of 10, we are multiplying 10 by itself 10 times: 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10.
Real-World Applications
10 billion is a massive number, and it has many real-world applications:
- Population: 10 billion is more than the current estimated population of the world, which is around 7.9 billion people.
- Economics: 10 billion dollars is a significant amount of money, equivalent to the GDP of a small country.
- Science: In scientific notation, 10^10 is used to express large quantities, such as the number of atoms in a mole or the number of stars in the universe.
In conclusion, 10 to the power of 10 is equal to 10 billion, a massive number with many real-world applications.