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Chapter 1: Problem 4

Find the value of 0 in the number 108 .

Short Answer

Expert verified
The value of 0 in 108 is 0.

Step by step solution

01

Understanding Place Value

The number 108 consists of three digits: 1, 0, and 8. Each digit is in a different place value: hundreds, tens, and ones respectively.
02

Identify the Place of 0

In the number 108, 0 is located in the tens place. This means that it is part of the position that represents tens.
03

Determine the Value of 0 in the Tens Place

Since the digit 0 is in the tens place, it represents zero tens. In terms of value, 0 tens means it contributes 0 脳 10 = 0 to the number 108.

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Key Concepts

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

Tens Place
When we work with numbers, understanding the concept of place value is vital. The tens place is one of the key components of any multi-digit number. Place value tells us the value of a digit based on its position in the number.

In a number like 108, the digit 0 is in the tens place. This position indicates that it would represent "tens" in the number, meaning it's part of the 10's column in a place value chart.

The tens place is the second digit from the right. If we see a digit other than 0 there, it would value that many tens. For example, in the number 123, 2 is in the tens place, representing 2 tens or 20.
Digit Value
Every digit in a number holds a specific value, depending on its position. This is referred to as the digit value. In the number 108, we explore the value of each individual digit:

- **1** is in the hundreds place, so its value is 100.
- **0** is in the tens place, contributing a value of 0, as there are zero tens.
- **8** is in the ones place, so its value remains as 8.

Understanding the digit value helps us see how each part adds up to the total number. A digit's value is calculated by multiplying it by its place value. For the digit **0** in 108, the calculation is 0 multiplied by 10, resulting in a value of 0.
Mathematical Representation
Mathematical representation involves expressing numbers using digits and their respective place values. It's the way in which we standardize number writing to consistently understand magnitude and values.

Each number can be broken down into its components using a principle called expanded form. For the number 108, the expanded form is:
  • An expression of 100 (from the digit 1 in the hundreds place)
  • Plus 0 (from the digit 0 in the tens place, meaning it has no added value)
  • Plus 8 (from the digit 8 in the ones place)
By breaking it down to such components, you can observe the interplay of each digit's value in forming the complete number. This clear representation helps in simplifying mathematical calculations and understanding number construction.

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Most popular questions from this chapter

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