Problem 463 - Prealgebra

Question

Name each number in words. $$5,012,582$$

Step-by-Step Solution

Answer

Five million, twelve thousand, five hundred eighty-two.

Step 1: Identify Each Place Value Segment

Break down the number into segments using commas: 5,012,582. Notice that the commas separate the number into three segments: 5 (millions), 012 (thousands), and 582 (units).

Step 2: Name the Millions Segment

The first segment is 5, which stands for five million. Therefore, write 'five million.'

Step 3: Name the Thousands Segment

The next segment is 012. In words, this is 'twelve thousand.' Therefore, write 'twelve thousand.'

Step 4: Name the Units Segment

The last segment is 582. In words, this is 'five hundred eighty-two.' Therefore, write 'five hundred eighty-two.'

Step 5: Combine the Segments

Combine the segments to form the complete number name: 'five million, twelve thousand, five hundred eighty-two.'

Key Concepts

Understanding Place Value

Place value is a fundamental concept in mathematics that helps us understand the value of each digit in a number based on its position. For example, in the number 5,012,582, every digit has a place value that determines its contribution to the number. Starting from the right, you have the units, tens, hundreds, thousands, ten thousands, hundred thousands, and so on. This positional system allows us to break down and interpret large numbers more easily.

• The digit '5' in the millions place represents 5,000,000.
• The digits '012' in the thousands place represent 12,000.
• The digits '582' in the units place represent 582.

This hierarchy of place values provides a clear structure for numbering, making it possible to read and write large numbers efficiently.

Breaking Down Number Segments

Number segments simplify the process of reading large numbers by breaking them into smaller, manageable parts. By using commas, we can segment a number into groupings such as units, thousands, millions, etc. For instance, in the number 5,012,582, the commas create distinct segments:

• 5 (millions segment)
• 012 (thousands segment)
• 582 (units segment)

This segmentation makes it easier to name and understand each part of the number. When writing numbers in words, these segments guide us to name each part separately before combining them into the full number name.

Naming Numbers in Words

Naming numbers in words involves interpreting each segment according to its place value and then combining those words into a complete phrase. For example, following the breakdown of 5,012,582:

• First, name the millions segment: 'five million.'
• Next, name the thousands segment: 'twelve thousand.'
• Finally, name the units segment: 'five hundred eighty-two.'

By assembling these segments, we get the full number name: 'five million, twelve thousand, five hundred eighty-two.'
This method ensures that each part of the number is accurately represented, making it easier for both reading and writing large numbers.