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Chapter 1: Problem 20

Give the place value of the 5 in each of the following numbers. $$50,000$$

Short Answer

Expert verified
The place value of 5 in 50,000 is ten thousand.

Step by step solution

01

Identify the number

First, let's look at the number given: 50,000. We need to figure out the place value of the digit 5 in this number.
02

Break down the number

The number 50,000 can be broken down by its individual place values as follows: 5 is in the ten-thousand place, followed by four zeros that represent thousands, hundreds, tens, and ones.
03

Determine the place value of 5

The digit 5 is the first digit from the left, meaning it is in the ten-thousandth position. Therefore, the place value of 5 in the number 50,000 is ten thousand.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding the Ten-Thousand Place
When we talk about the ten-thousand place, we are referring to the position of a digit in a number, specifically where it represents ten thousand units. Consider the number 50,000. The digit '5' is in the ten-thousand place. This means it stands for five sets of ten thousand, which is 50,000. Recognizing the ten-thousand place is important in understanding how much value a digit contributes to the overall number.
  • In any number, the ten-thousand place is the fifth position from the right.
  • It represents multiples of 10,000.
  • The digit in this place can significantly affect the number's size.
Understanding this helps us read and interpret large numbers accurately.
Number Breakdown: A Simple Method
Breaking down a number helps us to understand its structure. This process involves separating a number into its components, which are its individual place values. Let's take the example of 50,000. When we break down 50,000:
  • The '5' represents the ten-thousand place.
  • The zeros that follow are in the thousands, hundreds, tens, and ones places, respectively.
By dissecting a number this way, we can see how each digit and its position contribute to the total value. This method can be applied to any number. It not only simplifies understanding but also aids in identifying specific place values like the tens, hundreds, or, as in this case, the ten-thousands.
The Importance of Digit Position
Every digit in a number has a specific position. This position determines its value in relation to other digits. Let's look at why this is crucial using the number 50,000 as an example.
  • A digit's position from the right affects its place value.
  • In 50,000, the digit '5' is in the first position from the left, making it the ten-thousand place.
This positioning shows us how a single digit can have different values depending on its location. For instance, moving the '5' to a different position would change its place value significantly. In conclusion, understanding digit positions helps in both writing and reading numbers correctly. It allows you to quickly identify how much each digit contributes to the entirety of the number.

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