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Chapter 1: Problem 27

Convert the numbers to expanded form. $$539$$

Short Answer

Expert verified
500 + 30 + 9

Step by step solution

01

Identify the place values

Break down the number 539 into its place values: hundreds, tens, and ones.
02

Write the hundreds place

The digit in the hundreds place is 5. This means you have 500.
03

Write the tens place

The digit in the tens place is 3. This means you have 30.
04

Write the ones place

The digit in the ones place is 9. This means you have 9.
05

Combine the expanded form

Combine all the place values to get the expanded form: 500 + 30 + 9.

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Key Concepts

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

Understanding Place Values
Place values help us understand the value of each digit in a number based on its position. In any number, the digits are arranged in columns, each representing a different value.
For example:
  • The rightmost column represents the ones place.
  • The next column to the left represents the tens place.
  • The next column to the left represents the hundreds place.
Knowing place values is essential for converting numbers to expanded form, as it allows us to break down the number into manageable parts.
Understanding the Hundreds Place
The hundreds place is three digits from the right in a number. It represents how many groups of 100 are in the number.
In the number 539, the digit 5 is in the hundreds place.
This signifies that there are 5 groups of 100 in 539, which we write as 500.
To identify and use the hundreds place:
  • Find the third digit from the right.
  • Multiply this digit by 100 to get its value.
In our example, 5 in the hundreds place means 5 * 100 = 500.
Understanding the Tens Place
The tens place is two digits from the right in a number. It tells us how many groups of 10 are in the number.
In the number 539, the digit 3 is in the tens place.
This signifies that there are 3 groups of 10 in 539, which we write as 30.
To find and use the tens place:
  • Locate the second digit from the right.
  • Multiply this digit by 10 to get its value.
In our example, 3 in the tens place means 3 * 10 = 30.
Understanding the Ones Place
The ones place is the rightmost digit in a number. It shows how many single units are added to make up that part of the number.
In the number 539, the digit 9 is in the ones place.
This means there are 9 single units in 539, which we write as 9.
To identify and use the ones place:
  • Find the first digit from the right.
  • Use the digit as it is, since each digit in the ones place represents one unit.
In our example, 9 in the ones place means simply 9.

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