(9x10^10)-(4x10^10) In Standard Form

3 min read Jul 03, 2024

Simplifying Exponents: (9x10^10)-(4x10^10) in Standard Form

When working with exponents, it's essential to understand how to simplify and convert numbers into standard form. In this article, we'll explore how to simplify the expression (9x10^10)-(4x10^10) and convert it into standard form.

Understanding Exponents and Standard Form

Before we dive into the simplification process, let's quickly review what exponents and standard form mean:

Exponents: Exponents are a shorthand way to represent repeated multiplication of a number. For example, 10^2 means "10 squared" or 10 multiplied by itself twice, resulting in 100.
Standard Form: Standard form is a way of expressing numbers in a compact and simplified manner. It's typically written in the format a x 10^n, where a is a number between 1 and 10, and n is an integer (a whole number).

Simplifying the Expression

Now, let's simplify the given expression:

(9x10^10)-(4x10^10)

To simplify this expression, we can start by combining like terms. Since both terms have the same exponent (10^10), we can subtract the coefficients (the numbers in front of the exponents):

(9 - 4) x 10^10

This simplifies to:

5 x 10^10

Converting to Standard Form

Now that we've simplified the expression, let's convert it into standard form. Since the coefficient (5) is already between 1 and 10, and the exponent (10) is an integer, our simplified expression is already in standard form:

5 x 10^10

Therefore, the final answer is:

5 x 10^10

This is the simplified expression in standard form.

Conclusion

In this article, we've learned how to simplify the expression (9x10^10)-(4x10^10) and convert it into standard form. By combining like terms and applying the rules of exponents, we were able to simplify the expression and present it in a compact and simplified manner. Remember, mastering exponents and standard form is essential for success in various mathematical disciplines, including algebra, calculus, and more!