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Chapter 1: Problem 56

Write the number in standard form. two thousand eight hundred fifty-one

Short Answer

Expert verified
2851

Step by step solution

01

Break Down the Number

We can break the number 'two thousand eight hundred fifty-one' into individual parts: 'two thousand', 'eight hundred', and 'fifty-one'.
02

Convert Each Part Into Numeric Form

After breaking down the number into individual parts, transfer each into their numeric forms. 'Two thousand' equals '2000', 'eight hundred' equals '800', and 'fifty-one' equals '51'.
03

Add all Parts Together

Lastly, add the numeric equivalents together to generate the complete number in standard form. This results to the sum of 2000 + 800 + 51.

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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 working with numbers, especially when converting words to numbers. Place value refers to the position of a digit in a number, which determines its value. For example, in the number 2851, each digit has a different place value:
  • The "2" is in the thousands place, so it represents 2000.
  • The "8" is in the hundreds place, representing 800.
  • The "5" is in the tens place, which is 50.
  • The "1" is in the ones place, representing 1.
Breaking down a number based on place value helps when converting number words to standard form. Each place value corresponds to a different power of ten, making it easier to understand the structure and size of the number.
Number Names
Number names are the written or spoken representation of numbers. These are often used to communicate numbers clearly in writing or speech. For instance, the number 2851 is named as "two thousand eight hundred fifty-one."
The key to working with number names is to understand how they relate to numeric values. Each segment of the number name corresponds to a specific place value. Consider the phrase "two thousand eight hundred fifty-one":
  • "Two thousand" signifies the digit "2" in the thousands place.
  • "Eight hundred" indicates "8" in the hundreds place.
  • "Fifty-one" represents both the tens and ones places with "5" and "1" respectively.
Recognizing these patterns offers a streamlined way to convert number names into numeric form effectively.
Numeric Form
The numeric form is how we typically see numbers written, using digits. It is concise and easy to read compared to number names. When we write a number like 2851, it is in numeric form, where each digit is understood by its position or place value.
To convert a number name into this form, it involves translating each word segment into its digit equivalent. Using our example:
  • "Two thousand" becomes "2000."
  • "Eight hundred" transforms into "800."
  • Lastly, "fifty-one" turns into "51."
Once each part is converted, they are added together to produce the final numeric form. This process is necessary for tasks like writing checks, filling forms, or even programming, where clarity and brevity of number representation are vital.

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