Problem 15 - Prealgebra

Question

In the following exercises, name each number in words. $$364,510$$

Step-by-Step Solution

Answer

Three hundred sixty-four thousand five hundred ten.

Step 1: Understand the Number

The given number is 364,510. Recognize where the comma is placed to help identify the thousands and units.

Step 2: Break Down the Number

Separate the number into two parts: '364' and '510'. The comma separates the thousands from the hundreds, tens, and units.

Step 3: Name the Thousands Part

The first part '364' represents 'three hundred sixty-four thousand.'

Step 4: Name the Remaining Part

The second part '510' represents 'five hundred ten.'

Step 5: Combine the Words

Combine the two parts together to name the entire number: 'three hundred sixty-four thousand five hundred ten.'

Key Concepts

Reading Large Numbers

Reading large numbers can be intimidating, but with a few simple steps, it becomes easy and even fun! Start by identifying where the commas are placed. These commas help break the number into manageable chunks. Each chunk represents a different place value.

The number 364,510 is split by a comma into two parts: '364' and '510.' The comma helps us understand that '364' is in the thousands place, and '510' is in the smaller units (hundreds, tens, and ones). By breaking the number down this way, we can read large numbers without getting overwhelmed.

Place Value

Place value is the position of a digit in a number. It determines the digit's worth. For instance, in the number 364,510, each digit has a different place value:

• '3' is in the hundred thousands place
• '6' is in the ten thousands place
• '4' is in the thousands place
• '5' is in the hundreds place
• '1' is in the tens place
• '0' is in the ones place

Each place value is ten times the value of the place to its right. Understanding place value helps us put together and name large numbers correctly. For instance, '364' in '364,510' is read as 'three hundred sixty-four thousand,' because the '4' is in the thousands place, making its value 4,000.

Number Composition

Number composition involves breaking down a large number into smaller, more digestible parts. This is particularly useful when reading or writing large numbers. Take 364,510 as an example. We can compose this number in two main parts:

• The thousands part: 364 which is read as 'three hundred sixty-four thousand'
• The smaller units part: 510 which is read as 'five hundred ten'

When we combine these parts, we get 'three hundred sixty-four thousand five hundred ten.' Breaking down the number into these two primary parts makes it much easier to understand and read large numbers. We can apply this same method to any large number, simplifying the reading process and making it more approachable.