Problem 35 - Prealgebra

Question

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

Step-by-Step Solution

Answer

11,044,167

Step 1: Understanding Place Value

Identify the place values in the number given: eleven million, forty-four thousand, one hundred sixty-seven. Break it down into millions, thousands, and units.

Step 2: Convert Each Segment to Digits

Convert 'eleven million' into digits. Eleven million is written as 11,000,000.

Step 3: Convert the Thousands Segment

Convert 'forty-four thousand' into digits. Forty-four thousand is written as 44,000.

Step 4: Convert the Units Segment

Convert 'one hundred sixty-seven' into digits. One hundred sixty-seven is written as 167.

Step 5: Combine All Segments

Combine all segments together: 11,000,000 + 44,000 + 167. This results in 11,044,167.

Key Concepts

Whole Numbers

Whole numbers are the most basic numbers we use for counting and ordering. They start from zero and go up infinitely.

Examples include 0, 1, 2, 3, and so on. They do not have fractions or decimals.

Whole numbers are used in various everyday contexts such as:

• Counting objects (e.g., 3 apples)
• Indicating positions (e.g., 1st place in a race)
• Telling ages (e.g., 12 years old)
• Describing quantities (e.g., 5 liters)

Understanding whole numbers is fundamental for grasping more complex mathematical concepts.

When converting words to digits, it helps to recognize that each segment (like millions, thousands, and units) represents a whole number.

Converting Words to Digits

Converting numbers written in words to digits involves understanding place value and recognizing different number segments.

Let's take the example from the exercise: 'eleven million, forty-four thousand, one hundred sixty-seven.' Here’s how you can convert this to digits step-by-step:

Step 1: Break Down the Number

• 'Eleven million' – This represents the millions place.
• 'Forty-four thousand' – This is the thousands place.
• 'One hundred sixty-seven' – This is the units place.

Step 2: Translate Each Segment to Digits

• 'Eleven million' becomes 11,000,000.
• 'Forty-four thousand' converts to 44,000.
• 'One hundred sixty-seven' translates to 167.

Step 3: Combine the Digits
Once you have each part converted, simply add them together to get the final number: 11,000,000 + 44,000 + 167 equals 11,044,167.

By following this method, you can easily write any large number from words to digits.

Large Numbers

Understanding and working with large numbers is crucial, especially in fields like science, finance, and technology. Large numbers often come in segments, such as millions, billions, trillions, etc.

Each segment (like millions, thousands, and units) carries a specific place value, which helps in structuring the number properly.

For instance, in the exercise, the number was 'eleven million, forty-four thousand, one hundred sixty-seven.' This number has three segments:

• Millions: 11
• Thousands: 44
• Units: 167

When dealing with large numbers, it's often helpful to break them down into more manageable parts, just like we did with millions, thousands, and units.

Remember, each place value is 1,000 times larger than the place to its right. For example, 1 million is 1,000 times larger than 1,000.
Let's summarize:

• Millions: 1,000,000
• Thousands: 1,000
• Units: 1

Recognizing and understanding place value is key to mastering large numbers!