Problem 22 - Prealgebra

Question

In the following exercises, name each number in words. The height of Mount Adams is 12,276 feet.

Step-by-Step Solution

Answer

Twelve thousand two hundred seventy-six

Step 1: Identify the Place Value

Begin by identifying the place value of each digit in the number 12,276. The digits from left to right are in the ten-thousands, thousands, hundreds, tens, and ones places, respectively.

Step 2: Break Down the Number

Break the number down into its individual place values: 1 in the ten-thousands, 2 in the thousands, 2 in the hundreds, 7 in the tens, and 6 in the ones place.

Step 3: Convert Each Place Value to Words

Convert each part into words: 10,000 becomes 'ten thousand', 2,000 becomes 'two thousand', 200 becomes 'two hundred', 70 becomes 'seventy', and 6 stays 'six'.

Step 4: Combine Everything

Combine the words together to form the full number: 'twelve thousand two hundred seventy-six'.

Key Concepts

Number Naming

Number naming is the process of converting a numeric figure into its corresponding words. This helps in better understanding and verbal communication of large numbers. For instance, seeing the figure 12,276 might be confusing at first glance. Nevertheless, when you convert it to words as 'twelve thousand two hundred seventy-six', it becomes much clearer.

Here’s a useful tip: always start by identifying the largest place value. This helps you break down and assemble the number correctly in words.

Digit Identification

Digit identification means recognizing the individual digits in a number and knowing their respective places. For example, in the number 12,276:

• 1 is in the ten-thousands place.
• 2 is in the thousands place.
• 2 is in the hundreds place.
• 7 is in the tens place.
• 6 is in the ones place.

Knowing these positions is essential for breaking the number down correctly and converting each part into words. It is especially helpful for large numbers where digits span across multiple place values.

Breaking Down Numbers

Breaking down numbers involves splitting a large number into smaller, recognizable parts based on their place values. This makes it easier to convert the number into words. For example, let’s break down 12,276:

• Identify the digit in each place: 1 in ten-thousands, 2 in thousands, 2 in hundreds, 7 in tens, 6 in ones.
• Convert each place value to words: 10,000 becomes 'ten thousand', 2,000 becomes 'two thousand', 200 becomes 'two hundred', 70 becomes 'seventy', 6 remains 'six'.

Finally, combining these word parts together gives you 'twelve thousand two hundred seventy-six'. This step-by-step process simplifies understanding and communication of large numbers.