Scientific notation is a way to express very large or very small numbers in a concise format that is easier to work with in mathematical calculations. In scientific notation, a number is written as the product of a decimal number and a power of 10. For example, to write 6.3 in scientific notation, it would be expressed as 6.3 times 10 to the power of 0.

When we write 6.3 in scientific notation, it would be represented as 6.3 times 10 to the power of 0 because any number raised to the power of 0 is equal to 1. This means that 6.3 times 10 to the power of 0 is equivalent to simply 6.3. So, in scientific notation, 6.3 is written as 6.3 times 10 to the power of 0.

Understanding how to write numbers in scientific notation is a tool that can help us to comprehend huge numbers and make them more manageable. Today, we are going to talk about **how 6.3 is written in scientific notation** in different instances.

## 6.3 Times 100

Firstly, let’s consider how 6.3 is written in scientific notation when multiplied by 100. When considered in scientific notation, this calculation becomes **6.3 x 10^2.** This is because the number 100 is equal to 10^2 in scientific notation. Therefore, to signify the multiplication of 6.3 by 100, we simply write it as **6.3 x 10^2.**

## 63 Times 10

Now, what happens if we multiply 63 by 10? In this scenario, 63 becomes **6.3 x 10^1** in scientific notation. Here, the digit ‘1’ signifies the times we shift the decimal point to the right in 6.3, thus converting it from 6.3 to 63.

## 6.3 Times 10^{1}

Is 6.3 times 10^1 written differently in scientific notation? Well, no. 6.3 times 10^1 is still written as **6.3 x 10^1** in scientific notation. The ‘1’ still signifies one shift of the decimal point to the right, thereby it stays as 6.3.

## 63 Times 100

Lastly, let’s consider 63 times 100. When multiplied, this number becomes 6300, but to write this in a smaller, more compact form, scientific notation can be applied. The smaller form of this number becomes **6.3 x 10^3**. The ‘3’ tells us we should shift the decimal place three places to the right from 6.3 to make it 6300.

### To Summarize:

**6.3 x 100 = 6.3 x 10 ^{2}**

**63 x 10 = 6.3 x 10 ^{1}**

**6.3 x 10 ^{1} = 6.3 x 10^{1}**

**63 x 100 = 6.3 x 10 ^{3}**

This article has hopefully clarified the ways in which the number 6.3 can be expressed in scientific notation, and the differences that occur when this number is multiplied by factors of ten and one hundred. The power of scientific notation lies in its simplicity, and learning how to use it can simplify calculations, especially when dealing with very large or small numbers.

The scientific notation for 6.3 is written as 6.3 times 10^1, which is equivalent to 63 times 10.