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Chapter 1: Problem 8

Determine the place value for each underlined digit. $$73\underline{8}$$

Short Answer

Expert verified
The place value of the digit 8 is ones.

Step by step solution

01

Identify the underlined digit

First, determine which digit is underlined in the number 738. The underlined digit is 8.
02

Determine the place value of the digit

Next, establish the position of the digit within the number 738. Here, the digit 8 is in the ones place.
03

State the place value

The place value of the digit 8 in the number 738 is ones.

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Key Concepts

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

Digit Position
Understanding the position of digits in a number is essential for determining their value. Each digit in a number has a distinct position, such as ones, tens, hundreds, etc. For example, in the number 238, the digit 2 is in the hundreds place, the digit 3 is in the tens place, and the digit 8 is in the ones place. Each position represents a different power of ten. This system lets us represent large numbers efficiently.
To determine the digit's position, you can count from right to left, starting with the ones place. This helps you assign each digit its correct place value. Always break down the number step by step, especially for larger numbers.
Ones Place
The ones place is the first digit position on the right side of a number. It represents a single unit. For instance, in the number 738, the 8 is in the ones place. This means that it represents 8 ones, or just 8. The ones place is crucial because it is the foundation for understanding larger place values like tens and hundreds. When identifying the ones place, remember that:
  • The digit immediately to the left of the decimal point is always the ones place.
  • It is the most basic unit in our decimal numbering system.
  • Converting between various place values often starts from the ones place.
Recognizing the ones place allows us to properly interpret and work with all other digit positions.
Number Representation
Numbers are represented based on the place value of their digits. For example, 738 is a three-digit number where:
  • The 7 is in the hundreds place, meaning it represents 7 hundreds or 700.
  • The 3 is in the tens place, meaning it represents 3 tens or 30.
  • The 8 is in the ones place, meaning it represents 8 ones or 8.
This system is known as decimal notation. Each digit in a number contributes to the overall value by multiplying with its respective place value. Understanding number representation allows one to break down complex numbers into manageable parts.
By comprehending how each digit contributes to the number as a whole, you can greatly improve your numerical literacy and problem-solving skills. This knowledge is fundamental for arithmetic operations and more complex mathematical concepts.

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