Problem 468 - Prealgebra

Question

Write as a whole number using digits. two billion, four hundred ninety-two million, seven hundred eleven thousand, two

Step-by-Step Solution

Answer

2,492,711,002

Step 1: Understand the place values

Identify the place values in the number: billions, millions, thousands, and units. Separate each part of the number provided.

Step 2: Write the billions part

Write 'two billion' as digits: '2' followed by nine zeros, making it 2,000,000,000.

Step 3: Write the millions part

Write 'four hundred ninety-two million' as digits: '492' followed by six zeros, making it 492,000,000.

Step 4: Write the thousands part

Write 'seven hundred eleven thousand' as digits: '711' followed by three zeros, making it 711,000.

Step 5: Write the units part

The last part is units, 'two', which is written as the digit 2.

Step 6: Combine all parts

Combine all the parts to form the number: 2,000,000,000 + 492,000,000 + 711,000 + 2. This results in 2,492,711,002.

Key Concepts

Place Value

In understanding large numbers, grasping the concept of place value is crucial. Place value tells us the value of a digit depending on its position in the number. In the number 2,492,711,002, each digit has a different value based on where it is placed:
For instance, the '2' in the billions place represents 2,000,000,000, while the '2' in the units place represents just 2.
To break it down further:

• Billions place: the first digit from the left
• Millions place: the next set of three digits
• Thousands place: the next set of three digits
• Units place: the last set of digits on the right

Understanding these positions helps you break down and comprehend large numbers accurately.

Number Composition

Number composition involves putting together smaller parts to form a complete whole. When dealing with huge numbers like 2,492,711,002, it's about combining billions, millions, thousands, and units to create the final number.
In the given exercise, we started with the phrase 'two billion, four hundred ninety-two million, seven hundred eleven thousand, two'. Each segment forms a part of the larger number. Here's a breakdown of how we do it:

• 'Two billion' converts to 2,000,000,000.
• 'Four hundred ninety-two million' converts to 492,000,000.
• 'Seven hundred eleven thousand' converts to 711,000.
• 'Two' simply remains 2.

Putting these all together, we form the complete number 2,492,711,002.
Using this method helps in accurately writing and understanding large numbers.

Large Numbers

Large numbers can often seem overwhelming, but they follow the same basic rules as smaller ones when broken down into their place values.
Let's look at the large number 2,492,711,002. Here's how we can better understand it:

• We begin with billions: '2,000,000,000'.
• Next, we add millions: '492,000,000'.
• Then, thousands: '711,000'.
• Lastly, we take the units: '2'.

Combining them all, we get the total sum of these parts.
For many students, visualizing and breaking down the components is the key to mastering large numbers. Think of it like building a structure, where each place value adds another layer.