Problem 34 - Prealgebra

Question

In the following exercises, write each number as a whole number using digits. sixty-one thousand, four hundred fifteen

Step-by-Step Solution

Answer

61415

Step 1: Identify the Place Values

Break down the number into its place values: sixty-one thousand, four hundred fifteen. This number has thousands, hundreds, tens, and units place values.

Step 2: Convert Thousands Place

The phrase 'sixty-one thousand' represents the number 61 followed by three zeros: 61000.

Step 3: Convert Hundreds, Tens, and Units

The phrase 'four hundred fifteen' corresponds to the number 415.

Step 4: Combine the Parts

Combine 61000 and 415 by adding the numbers together: 61000 + 415 = 61415.

Key Concepts

Place Value

Understanding place value is essential for converting numbers from words to digits. Each digit in a number has a specific value depending on its position. Consider the number 1234:

• The '1' represents 1000 (thousands place)
• The '2' represents 200 (hundreds place)
• The '3' represents 30 (tens place)
• The '4' represents 4 (ones place)

By breaking down numbers into place values, we can accurately write the number in digits. For instance, in the number 'sixty-one thousand, four hundred fifteen,' the place value helps us understand where each part of the number goes.

Whole Numbers

Whole numbers are numbers without fractions or decimals. They include zero and all positive integers: 0, 1, 2, 3, etc. When writing numbers like 'sixty-one thousand, four hundred fifteen' in digits, whole numbers make the process straightforward. These numbers lie on a number line and can be easily represented using digits. For example:

• 1, 2, 3, 4: these are the first four whole numbers
• 10, 50, 300: these are also whole numbers

Always remember that whole numbers are simple to work with because they are just the basic counting numbers, including zero.

Conversion of Words to Digits

Converting words to digits involves a few systematic steps. Let's break it down:

• Step 1: Identify and break down the number in words based on place values. For 'sixty-one thousand, four hundred fifteen,' we recognize 'sixty-one thousand' and 'four hundred fifteen' as two parts.
• Step 2: Convert each part to digits. 'Sixty-one thousand' converts to 61000, and 'four hundred fifteen' converts to 415.
• Step 3: Combine the digits. Add 61000 and 415 together to get 61415.

By following these steps, converting any number from words to digits becomes an easier task.