Problem 4 - Fundamentals of Mathematics

Question

Express each number using digits. One hundred three thousand, twenty-five.

Step-by-Step Solution

Answer

The number is 103025.

Step 1: Understand the Problem

We need to convert the number written in words, 'one hundred three thousand, twenty-five,' into its numerical digit form.

Step 2: Identify Numerical Values

Identify the numerical value of each part of the phrase: - 'One hundred three thousand' means there are '103' in the thousand place. - 'Twenty-five' means there are '25' in the unit place.

Step 3: Combine the Values

Combine the identified values to create one numerical figure. The phrase 'one hundred three thousand, twenty-five' represents 103 followed by 025. Hence, the complete number is 103025.

Key Concepts

Place Value

Understanding place value is crucial for converting words into numerical digits correctly. It helps determine the value of each digit in a number based on its position. In the number 103,025, the digit 3, for example, is in the thousand's place, meaning it represents three sets of a thousand.
Breaking down numbers in context:

• Thousands place: In the number 'one hundred three thousand,' the "103" denotes that the digit 3 is in the thousands place, contributing 3,000 to the total value.
• Units place: Similarly, in 'twenty-five,' the 5 is at the unit's place, making it simply 5 units.

Understanding such placement allows for accurate interpretation when converting words to numbers.

Numerical Digits

Numerical digits are the building blocks of numbers. They range from 0 to 9 and form the basis of our decimal number system. In our example, each word in the phrase 'one hundred three thousand, twenty-five' corresponds to specific digits:

• 'One hundred three' translates to the digits '1', '0', and '3'.
• 'Twenty-five' is represented by the digits '2' and '5'.

By recognizing the number each word suggests, you can place the correct digits in their respective places to form a complete numeral.

Number Conversion

Number conversion involves transforming numbers from one form to another, such as from words to digits. This process includes identifying and matching the correct numerical value with each part of a worded number.

Steps in Conversion

Transforming the phrase 'one hundred three thousand, twenty-five' into digits involves simple steps:

• Determine the value of each word or phrase, noting their place values.
• Assign appropriate numerical digits for each worded part based on these values.
• Combine these digits to get the full number.

In the exercise example, these steps culminate in forming the number 103,025, illustrating the complete conversion.