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Chapter 1: Problem 32

Write each whole number in standard form. Seventy-three thousand, two

Short Answer

Expert verified
The number is 73,002.

Step by step solution

01

Understanding the Place Value

To write a whole number in standard form, we need to understand the place value of each part of the phrase. The number is given in words as "seventy-three thousand, two." Let's break it down: "seventy-three thousand" means 73,000, and "two" represents 2, which is a unit.
02

Writing the Components in Digits

First, write the component 'seventy-three thousand' as a number. This is simply 73,000. Next, write 'two' as it stands, which is just 2.
03

Combining the Components

To combine these components to form the complete standard form, place the 2 in the correct position as follows: 73,002. This incorporates both 73,000 and the unit 2 appropriately.

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Key Concepts

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

Standard Form
Standard form is about representing numbers in a typical or widely accepted way using digits. This often involves understanding place value, which is a crucial concept in mathematics. When we talk about writing a number like "seventy-three thousand, two" in standard form, we're aiming to express it as 73,002.
  • Start by breaking down the number spoken in words into separate components based on value: thousands, hundreds, tens, and units.

  • Identify each part's numeric value. Here, "seventy-three thousand" becomes 73,000.

  • The unit "two" is added directly, placed in the units position to form the complete number: 73,002.
Understanding how to translate numbers from word form to standard form is fundamental for clear numerical representation. It ensures that numbers are expressed in a consistent way that is universally recognizable.
Whole Numbers
Whole numbers are the set of numbers that include all natural numbers along with zero. They do not include any fractions or decimals; they are simply the sequence of numbers starting from zero upwards (0, 1, 2, 3, etc.).
  • They're used to count objects without fractions or parts, making them fundamental in everyday counting and simple math.

  • Every whole number can be written in standard form, making large numbers easier to read and write.
In our example, numbers like 73,000 and 2 are both whole numbers. To illustrate this concept further, when these are combined using place value understanding, we get another whole number: 73,002.
Number Representation
Number representation refers to the ways in which numbers can be expressed. Numbers can be shown in words, symbols, or digits.
  • In word form, numbers are written out using words, like "seventy-three thousand, two."

  • In standard or digit form, the number is shown using numeric symbols, such as 73,002.
Knowing different number representations is essential for converting numbers between forms. It allows for easier communication and interpretation of numbers in various contexts across mathematics and everyday life. With practice, converting numbers from word form to digit form becomes intuitive.

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Most popular questions from this chapter

Identify each answer as correct or incorrect. Use addition to check. If the answer is incorrect, write the correct answer. $$ \begin{array}{r} 7615 \\ -\quad 547 \\ \hline 7168 \end{array} $$

Write each phrase as a variable expression. Use \(x\) to represent "a number." The product of a number and 7

In your own words, explain how to round 9660 to the nearest thousand.

The smallest commercially available jigsaw puzzle is a 1000 -piece puzzle manufactured in Spain. It is in the shape of a rectangle with length of 18 inches and width of 12 inches. Find the perimeter of this rectangular-shaped puzzle.

Check each addition below. If it is incorrect, find the correct answer. $$ \begin{array}{r} 566 \\ 932 \\ +\quad 871 \\ \hline 2369 \end{array} $$
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