Problem 467 - Prealgebra

Question

Write as a whole number using digits. three hundred forty million, nine hundred twelve thousand, sixty-one

Step-by-Step Solution

Answer

340,912,061

Step 1: Understanding the Place Values

Identify the different groups of numbers in the given phrase. The groups given are: 'three hundred forty million', 'nine hundred twelve thousand', and 'sixty-one'.

Step 2: Converting Groups to Numerical Form

Convert each group into digits: 'Three hundred forty million' becomes 340,000,000 'Nine hundred twelve thousand' becomes 912,000 'Sixty-one' becomes 61.

Step 3: Combining the Groups

Combine the individual numerical groups into one whole number: 340,000,000 + 912,000 + 61

Step 4: Writing the Final Number

Add the groups together to get the final number: 340,000,000 + 912,000 + 61 = 340,912,061

Key Concepts

Place Value

Understanding place value is essential when converting words to digits.
Each digit in a number has a position, and each position has a different value.
For example, in the number 340,000,000, the digit 4 is in the ten million place, and it means 40 million.
By knowing the place values, you can identify the different parts of the number.
This helps break down complex phrases like 'three hundred forty million, nine hundred twelve thousand, sixty-one' into manageable pieces.

Numerical Form

Numerical form means writing numbers using digits.
To convert the given phrase to its numerical form, break it down into smaller groups.
The groups from the phrase are: 'three hundred forty million,' 'nine hundred twelve thousand,' and 'sixty-one.'
To convert these groups:

• 'Three hundred forty million' becomes 340,000,000
• 'Nine hundred twelve thousand' becomes 912,000
• 'Sixty-one' becomes 61

By writing each group in digits, you can easily see how they fit together.

Combining Numbers

Combining different numerical groups correctly is crucial.
Once you have converted each phrase group to its numerical form:

• '340,000,000'
• '912,000'
• '61'

You simply add them together to get the final number.
So,
340,000,000 + 912,000 + 61
When you perform the addition step by step, you get 340,912,061.
This is the whole number converted from the initial phrase.