10^5 × 10^3: Understanding Exponential Notation
In mathematics, exponential notation is a shorthand way of writing very large or very small numbers. In this article, we will explore the concept of exponential notation and specifically focus on the calculation of 10^5 × 10^3.
What is Exponential Notation?
Exponential notation is a way of expressing a number as a product of a base number and a power or exponent. The general form of exponential notation is:
a^n
Where 'a' is the base and 'n' is the power or exponent.
What is 10^5?
In exponential notation, 10^5 represents the number 10 raised to the power of 5. To calculate this value, we need to multiply 10 by itself 5 times:
10^5 = 10 × 10 × 10 × 10 × 10 = 100,000
What is 10^3?
Similarly, 10^3 represents the number 10 raised to the power of 3. To calculate this value, we need to multiply 10 by itself 3 times:
10^3 = 10 × 10 × 10 = 1,000
Calculating 10^5 × 10^3
Now that we have calculated the values of 10^5 and 10^3, we can multiply them together:
10^5 × 10^3 = 100,000 × 1,000 = 100,000,000
Therefore, the value of 10^5 × 10^3 is 100,000,000.
Conclusion
Exponential notation is a powerful tool for expressing very large or very small numbers. By understanding how to calculate values in exponential notation, we can simplify complex calculations and solve problems more efficiently. In this article, we have seen how to calculate 10^5 × 10^3 using exponential notation.
