### Which Number’s Underlined Digit is Worth 9,000,000? (Place Value Explained)

Place value is one of the most fundamental concepts in math. It helps us determine the value of a digit based on its position in a number. Understanding place value allows us to read and understand large numbers by recognizing the worth of each digit.

In this post, we’ll focus on a specific place value example: identifying the number where the underlined digit is worth 9,000,000.

#### What is Place Value?

Place value is a system where the position of a digit in a number tells us its value. Each position in a number represents a specific power of ten. The further to the left a digit is, the higher its place value. Here are the most common place values for large numbers:

**Ones Place**(1): The first digit from the right.**Tens Place**(10): The second digit.**Hundreds Place**(100): The third digit.**Thousands Place**(1,000): The fourth digit.**Ten Thousands Place**(10,000): The fifth digit.**Hundred Thousands Place**(100,000): The sixth digit.**Millions Place**(1,000,000): The seventh digit.**Ten Millions Place**(10,000,000): The eighth digit.**Hundred Millions Place**(100,000,000): The ninth digit.**Billions Place**(1,000,000,000): The tenth digit.

Understanding this system helps us figure out the value of each digit in large numbers.

#### Example of Finding a Digit’s Value: Worth 9,000,000

Let’s take an example where we need to find a number in which the underlined digit is worth exactly 9,000,000.

Consider the number **4****9****,572,381**.

In this number, the digit **9** is underlined. To determine its value, we look at its position, which is in the **millions place** (the seventh position from the right). The value of a digit in the millions place is found by multiplying the digit by 1,000,000. Therefore, the value of the underlined **9** is:

- 9 × 1,000,000 =
**9,000,000**

Thus, in the number **4****9****,572,381**, the underlined digit **9** is worth **9,000,000** because it is located in the millions place.

#### Explanation of Place Value Calculation

To fully understand how we arrived at this answer, let’s break down the number by its place values:

**4**is in the**ten millions**place, so it represents 40,000,000.**9**is in the**millions**place, so it represents 9,000,000.**5**is in the**hundred thousands**place, so it represents 500,000.**7**is in the**ten thousands**place, so it represents 70,000.**2**is in the**thousands**place, so it represents 2,000.**3**is in the**hundreds**place, so it represents 300.**8**is in the**tens**place, so it represents 80.**1**is in the**ones**place, so it represents 1.

When we add all of these values together, we get the full number:

40,000,000 + 9,000,000 + 500,000 + 70,000 + 2,000 + 300 + 80 + 1 = 49,572,381

As you can see, the underlined digit **9** holds the value of **9,000,000** because it is in the millions place.

#### Why is Place Value Important?

Place value is crucial for understanding how numbers work, especially when dealing with large numbers like millions or billions. It helps us:

**Read and write large numbers**: Knowing place value allows you to correctly identify and understand numbers with many digits.**Compare numbers**: You can quickly compare two numbers by looking at the digit in the highest place value.**Perform calculations**: Whether adding, subtracting, multiplying, or dividing, understanding place value is key to performing accurate calculations with large numbers.

In this example, identifying that the digit **9** is worth **9,000,000** in the number **4****9****,572,381** is possible because we understand the importance of place value.