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Chapter 1: Problem 57

Write each of the following numbers in words. $$2,546,731$$

Short Answer

Expert verified
Two million five hundred forty-six thousand seven hundred thirty-one.

Step by step solution

01

Break Down the Number

The number given is 2,546,731. Let's break it down into segments according to units, thousands, and millions. The breakdown is: 2 million, 546 thousand, and 731 ones.
02

Express Each Segment in Words

First, write '2 million' to represent the millions segment. Next, for the thousands segment, write '546 thousand.' Finally, for the ones segment, write '731.' Thus, the breakdown in words is: two million five hundred forty-six thousand seven hundred thirty-one.
03

Combine Segments into a Full Sentence

Combine the three segments into a full sentence. Start with the millions part, followed by the thousands, and end with the ones. The complete expression is: two million five hundred forty-six thousand seven hundred thirty-one.

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Key Concepts

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

Place Value
Understanding place value is crucial for writing numbers in words. Place value refers to the position or place of a digit within a number. Each position in a number has a different value. For example, in the number \(2,546,731\), the '2' is not just a 2 but represents two million because it is in the millions place. Place value helps us identify:
  • The ones place, which is the digit farthest to the right.
  • The tens place, which is just left of the ones place.
  • The hundreds place, which is left of the tens place.
  • The thousands, ten-thousands, and hundred-thousands, which are part of the higher place values representing thousands.
  • The millions place, which comes after the hundred-thousands.
Place values are the building blocks for numerals. By understanding and identifying each digit's place, you can accurately convert any numerical value into words.
Number Segments
Number segments are a method to break down large numbers into smaller, more manageable parts. This technique makes it easier to read and write numbers in both their numerical and word forms.Breaking down \(2,546,731\) into segments:
  • **Millions Segment:** Consists of '2' in the millions place, representing two million.
  • **Thousands Segment:** Consists of '546' in the thousands places, representing five hundred forty-six thousand.
  • **Ones Segment:** Consists of '731' in the hundreds, tens, and ones places, representing seven hundred thirty-one.
Number segmentation helps in converting numerals into words by simplifying complex numbers into easier concepts. Each segment is written out in words separately and then combined to form the full numeral expression.
Numeral Expression
A numeral expression is the verbal representation of a number. It involves writing out the number in word form using its segments. The goal is to convey the exact numerical value using words.To convert the number \(2,546,731\) into a numeral expression:
  • Start with the largest segment, 'two million.'
  • Next, move to the middle segment, 'five hundred forty-six thousand.'
  • Finally, include the smallest segment, 'seven hundred thirty-one.'
Put together, these words form the full numeral expression: **two million five hundred forty-six thousand seven hundred thirty-one**. By using numeral expressions, we articulate the numerical values clearly and understandably, facilitating better communication of complex numbers.

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