Problem 36 - Prealgebra

Question

In the following exercises, write each number as a whole number using digits. eighteen million, one hundred two thousand, seven hundred eighty-three

Step-by-Step Solution

Answer

18,102,783

Step 1: Identify Each Component of the Number

Start by breaking down the given number phrase into its components: 'eighteen million', 'one hundred two thousand', and 'seven hundred eighty-three'.

Step 2: Convert Each Component to Digits

Convert each part of the phrase to its corresponding digit form: 'eighteen million' becomes 18,000,000, 'one hundred two thousand' becomes 102,000, and 'seven hundred eighty-three' becomes 783.

Step 3: Combine the Components

Combine the digit forms of each component by adding them together: 18,000,000 + 102,000 + 783 = 18,102,783.

Step 4: Verify the Answer

Double-check each component and their combined sum to ensure accuracy: 18,102,783.

Key Concepts

number conversion

Converting written numbers into digit form involves breaking down the words into recognizable segments. For example, phrases like 'eighteen million' or 'one hundred two thousand' need to be identified as individual components. Once identified, each segment can be converted into its numerical counterpart.
Break down the number phrase into smaller, manageable parts. This makes the conversion process simpler and ensures accuracy.
Finally, combine these numerical parts into a single number.
By following these steps, you can convert even the largest written numbers into their proper digit forms.

whole numbers

Whole numbers include all the positive integers starting from zero. They do not contain fractions or decimals. Examples of whole numbers are 0, 1, 2, 3, and so on.
When converting a phrase to a whole number, ensure that each segment represents a whole number. In the example given, phrases like 'eighteen million' and 'one hundred two thousand' are whole numbers and should be treated as such.
Understanding that the numbers are whole (complete, without fractions) simplifies the conversion process.

place value

Place value is the value of a digit based on its position within a number. In the number 18,102,783, each digit represents a quantity depending on its place in the number.
The left-most digit, 1, is in the ten millions place, meaning it represents ten million. The next digit, 8, is in the millions place, so it represents eight million.

• Tens: The digit '8' in 18,000,000 is in the millions place
• Thousands: The digit '1' in 18,102,783 is in the ten-thousands place
• Units: The digit '3' in 18,102,783 represents the unit value

By recognizing each digit's place value, you can accurately assemble the entire number, ensuring that every digit is correctly placed.