What is the value of 89.54×10^4?

If you’ve come across this mathematical expression and are wondering what it means and how to evaluate it, you’re in the right place. In this article, we will break down the value of 89.54×10^4 and explain how to calculate it.

The expression 89.54×10^4 is a multiplication problem where 89.54 is multiplied by 10 raised to the power of 4. To understand the value of this expression, we need to understand the concept of scientific notation.

**Scientific notation**, also known as standard form, is a way of representing numbers that are very large or very small. It consists of two parts: a coefficient and an exponent. The coefficient is usually a decimal number between 1 and 10, and the exponent represents the power of 10 by which the coefficient is multiplied.

In the expression 89.54×10^4, the coefficient is 89.54 and the exponent is 4. This means that 89.54 is multiplied by 10 raised to the power of 4. In other words, the number is multiplied by 10,000.

Let’s break this down further to see how the calculation is performed.

## Steps to calculate the value of 89.54×10^4

1. Write down the coefficient: In this case, the coefficient is 89.54.

2. Multiply the coefficient by 10 raised to the power of the exponent: In this case, the exponent is 4, so we multiply 89.54 by 10,000.

89.54 × 10^4 = 89.54 × 10,000.

3. Perform the multiplication: Multiply 89.54 by 10,000.

89.54 × 10,000 = 895,400.

So, the value of 89.54×10^4 is 895,400.

It’s important to note that scientific notation is commonly used in scientific and mathematical calculations to represent very large or very small numbers in a more compact and convenient form. It allows for easier comparison and computation of these numbers.

## Frequently Asked Questions

### Q: Can you explain scientific notation in more detail?

Scientific notation is a way of representing numbers that are either very large or very small. It consists of two parts: a coefficient and an exponent. The coefficient is a decimal number between 1 and 10, and the exponent represents the power of 10 by which the coefficient is multiplied. This notation helps to simplify and express these numbers in a more concise form.

### Q: How do you convert a number from scientific notation to standard form?

To convert a number from scientific notation to standard form, you multiply the coefficient by 10 raised to the power of the exponent. If the exponent is positive, you move the decimal point to the right. If the exponent is negative, you move the decimal point to the left. This will give you the number in its standard form.

### Q: Why is scientific notation used?

Scientific notation is used to represent very large or very small numbers in a more compact and convenient form. It simplifies calculations involving these numbers and allows for easier comparison and computation. It is commonly used in scientific and mathematical fields where dealing with such numbers is common.

## Final Thoughts

Understanding scientific notation is essential in many areas of study, including math, science, and engineering. Being able to convert between scientific notation and standard form and evaluate expressions like 89.54×10^4 is a fundamental skill.

By breaking down the steps and explaining the concept behind scientific notation, we hope this article has helped you grasp the value of 89.54×10^4 and how to calculate it. Remember, scientific notation is a powerful tool for dealing with large and small numbers, and it’s worth familiarizing yourself with its principles.