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Chapter 1: Problem 53

Write each of the following numbers in words. $$104,065,780$$

Short Answer

Expert verified
One hundred four million, sixty-five thousand, seven hundred eighty.

Step by step solution

01

Break Down the Number by Periods

Numbers are grouped into periods of three digits each. Separate the number 104,065,780 into these periods: 104 (hundreds of millions), 065 (thousands), and 780 (units).
02

Write Each Period in Words

Convert each period into words. The hundreds of millions is 'one hundred four million'. The thousands is 'sixty-five thousand'. The units are 'seven hundred eighty'.
03

Combine the Words

Put together the words from each period to form the complete number: 'one hundred four million, sixty-five thousand, seven hundred eighty'.

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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 essential when writing numbers in words. Place value determines the value of a digit based on its position within a number. Each position in a number has a different value. For example, in the number 104,065,780, the digit '1' represents hundreds of millions because it is in the hundred millionth place.

The digits are organized in groups of three, called periods, which help manage large numbers. By knowing the place value of each digit, we can accurately describe numbers using words.
  • The first group, or period, includes hundreds, tens, and units.
  • The next group is the thousands period: thousands, ten thousands, and hundred thousands.
  • Further up, you have millions, ten millions, and hundred millions.
Recognizing the place where each digit belongs helps transform numbers into understandable and manageable words.
Number Periods
Number periods play a key role in breaking down and understanding large numbers. They group numbers into manageable sections of three digits each, facilitating the transition from numerical notation to word form.

Each period is separated by a comma for clarity and ease of reading. In the number 104,065,780:
  • The first period, "104," represents the hundreds of millions.
  • The second period, "065," represents the thousands.
  • The third period, "780," represents the units.
Recognizing these groups is useful because each can be converted separately into words. This process makes it less overwhelming to deal with extremely large figures. By clearly identifying number periods, you can ensure accuracy and simplicity when converting numbers to words.
Number Words
Converting numbers into words requires a step-by-step approach, accounting for each digit's place value and each period.

Start with the highest period, often millions, and work towards the units. For 104,065,780, this involves the following:
  • "104" in the hundreds of millions becomes 'one hundred four million'.
  • "065" in thousands becomes 'sixty-five thousand'.
  • "780" in units becomes 'seven hundred eighty'.
Ultimately, these words form the complete written number: 'one hundred four million, sixty-five thousand, seven hundred eighty'.

This detailed procedure ensures that you capture the accurate representation of the number, reflecting both its size and structure. Breaking it down into manageable parts helps in avoiding errors and enhances understanding, especially in educational settings.

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