Problem 49 - Fundamentals of Mathematics

Question

For the following problems, write each number using digits. Nine hundred twenty billion, four hundred seventeen million, twenty-one thousand

Step-by-Step Solution

Answer

920,417,021,000

Step 1: Understand the Components of the Number

First, identify the components of the number based on their place values: - Nine hundred twenty billion - Four hundred seventeen million - Twenty-one thousand

Step 2: Convert Each Component to Digits

Convert each component into digits by translating the words into numerals: - Nine hundred twenty billion becomes 920,000,000,000 - Four hundred seventeen million becomes 417,000,000 - Twenty-one thousand becomes 21,000

Step 3: Combine the Components

Join all the components together, taking care of the correct placement based on their place values: - Start with 920,000,000,000 (billion component) - Add 417,000,000 (million component) - Add 21,000 (thousand component) - The complete number is therefore 920,417,021,000.

Key Concepts

Writing Numbers in Digits

Writing numbers in digits involves transforming words into numerical form. This process is crucial for understanding numerical data and performing calculations. When you encounter a number written in words, the first step is to identify each segment based on its place value. For example, consider the phrase "nine hundred twenty billion, four hundred seventeen million, twenty-one thousand." These are distinct components, each representing a specific place value: - "Nine hundred twenty billion" represents the billions. - "Four hundred seventeen million" stands for the millions. - "Twenty-one thousand" corresponds to the thousands. These verbal components are turned into numerical form by figuring out their exact place value and combining them into a single numerical expression.

Numeral Conversion

Numeral conversion is the process of translating numbers written in words into digits. This conversion is clear once you break down the number based on its components. Each segment of the number is converted to digits by representing the verbal description with actual numerals.

• "Nine hundred twenty billion" is transformed into 920,000,000,000.
• "Four hundred seventeen million" becomes 417,000,000.
• "Twenty-one thousand" turns into 21,000.

By translating each verbal section into digits, you validate the place value, making it easier to combine everything into a full number later in the process.

Combining Place Values

Once each segment of the number is converted into digits, the next step is to combine these values into a cohesive whole. The correct placement of these segments is vital for maintaining the integrity of the number. Start by adding the digits of the highest place value, in this case, 920,000,000,000 for the billions.
Next, incorporate 417,000,000 for the millions right after the billion's placement.
Finally, add the thousands segment, 21,000, to complete the number. So, combining these segments gives you the number: 920,417,021,000. Paying attention to each segment's position ensures the number is accurate and represents the original verbal description effectively.