Problem 21 - Prealgebra

Question

In the following exercises, name each number in words. The height of Mount Ranier is14,410 feet.

Step-by-Step Solution

Answer

The height of Mount Ranier is fourteen thousand four hundred ten feet.

Step 1: Identify the Number

Determine the number that needs to be written in words. In this case, the number is 14,410.

Step 2: Break Down the Number

Separate the number into its components. 14,410 can be broken down into '14 thousand' and '410'.

Step 3: Convert the Thousands Part

Write the thousands part in words. '14 thousand' becomes 'fourteen thousand'.

Step 4: Convert the Hundreds, Tens, and Units Part

Now, convert 410. This will be written as 'four hundred ten'.

Step 5: Combine the Components

Combine the words for both parts. Hence, '14,410' becomes 'fourteen thousand four hundred ten'.

Step 6: Include Context

Finally, phrase the entire solution with the context given in the problem: 'The height of Mount Ranier is fourteen thousand four hundred ten feet.'

Key Concepts

Converting Numbers to Words

Converting numbers to words can seem tricky, but breaking it down into small steps makes it easier. Imagine you have the number 14,410, like in our example about Mount Ranier. To convert this number, you break it into manageable parts.
First, separate the thousands from the rest of the number. Here, 14 thousand and 410.
Write '14 thousand' in words, which is 'fourteen thousand'. Next, handle the smaller part: 410. You would write it as 'four hundred ten'. Finally, combine these parts: 'fourteen thousand four hundred ten'.
This structured approach helps you accurately translate any long number into its word form.

Place Value

Understanding place value is crucial for converting numbers into words.
Every digit in a number has a specific value based on its position. Consider 14,410:

• The '1' in the leftmost position is in the ten-thousands place and represents ten thousand.
• The '4' right next to it is in the thousands place, adding four thousand.
• The second '4' is in the hundreds place and stands for four hundred.
• The '1' in the tens place means ten, and the last '0' represents the units place, which is zero.

These positions help break down and understand the number's meaning.
This structure ensures each digit contributes correctly to the total value, making it easier to convert into words.

Mathematical Notation

Mathematical notation includes the symbols and formulas we use to express numbers and operations.
When you see a number like 14,410, you often encounter it in a standard numerical form first. To translate it into words, recognize and use the correct notation rules. For example, a comma separates thousands from hundreds and tens.
This makes it clearer and easier to read.
So '14,410' means:

• 14 in the thousands place
• 410 in the hundreds, tens, and units place.

writing numbers this way also follows a specific order: thousands, hundreds, tens, and then units. Breaking it down using notation highlights its structure, aiding in understanding and converting numbers to words properly.