Problem 38 - Prealgebra

Question

In the following exercises, write each number as a whole number using digits. eleven billion, four hundred seventy-one million, thirty-six thousand, one hundred six

Step-by-Step Solution

Answer

11,471,036,106

Step 1 - Identify Each Part

Break down the number into parts: 'eleven billion', 'four hundred seventy-one million', 'thirty-six thousand', 'one hundred six'.

Step 2 - Convert Each Part to Digits

Convert each part into digits separately: 'eleven billion' is 11,000,000,000'four hundred seventy-one million' is 471,000,000'thirty-six thousand' is 36,000'one hundred six' is 106.

Step 3 - Combine the Parts Together

Combine the digits from each part: 11,000,000,000 + 471,000,000 + 36,000 + 106. Use trailing zeros to maintain the correct placements.

Step 4 - Write the Final Number

Add all the parts together to get the final number: 11,471,036,106.

Key Concepts

Place Value

Understanding place value is key to working with whole numbers, especially when dealing with large numbers.
Place value refers to the value of each digit in a number, depending on its position.
For instance, in the number 11,471,036,106, each digit has a specific place value:

• The first '1' from the left is in the ten billions place, meaning it represents 10,000,000,000.
• The second '1' is in the billions place, representing 1,000,000,000.
• The '4' is in the hundred millions place, representing 400,000,000.
• The '7' is in the ten millions place, accounting for 70,000,000.
• The '1' further down is in the millions place, representing 1,000,000.
• The '0' is in the hundred thousands place, but since it's zero, it adds nothing to the value.
• The '3' is in the ten thousands place, contributing 30,000.
• The '6' in the thousands place makes 6,000.
• The '1' in the hundreds place stands for 100.
• The last two '0’ and '6’ are in the tens and ones places respectively, contributing nothing and 6.

Place value helps us read and write large numbers correctly.

Number Conversion

Converting words to digits requires understanding the basic structure and values associated with each part of the number.
Here's how you can convert the given exercise into a whole number:

• Break down the number into manageable parts: 'eleven billion', 'four hundred seventy-one million', 'thirty-six thousand', 'one hundred six'.
• For 'eleven billion', write it as 11,000,000,000.
• 'Four hundred seventy-one million' converts to 471,000,000.
• 'Thirty-six thousand' becomes 36,000.
• 'One hundred six' is written as 106.

Finally, add all these parts together to get the whole number:
11,471,036,106.
Remember to maintain the appropriate place values by using trailing zeros.

Large Numbers

Working with large numbers can be intimidating, but breaking them into parts makes it easier.
In our example, we have a large number: 11,471,036,106.
Here's a simple method to handle large numbers:

• Break the number into smaller chunks (billions, millions, thousands, and units).
• Convert each chunk from words to digits.
• Combine the chunks together while keeping track of place values using zeros.

Large numbers often require careful alignment to ensure accuracy.
Always double-check your conversions and additions to avoid mistakes.
Practicing with large numbers will boost your confidence and accuracy over time.