Problem 12 - Fundamentals of Mathematics

Question

For the following problems, write all numbers in words. $$35,223$$

Step-by-Step Solution

Answer

Thirty-five thousand two hundred twenty-three.

Step 1: Identifying the Number

The number given is 35,223. This is a five-digit number, which can be divided into two parts for better understanding: the thousands and the units.

Step 2: Breaking Down the Number

Separate the given number 35,223 into two sections: 35,000 and 223. This will help you in converting each part into words separately.

Step 3: Convert Thousands to Words

Look at the thousands part, 35,000. The number 35 in words is 'thirty-five'. Add 'thousand' after it, so it becomes 'thirty-five thousand'.

Step 4: Convert Remaining Part to Words

Now, focus on the remaining part, which is 223. Write each digit to its place value: 200 means 'two hundred', and 23 is 'twenty-three'.

Step 5: Combine Parts into Words

Join both parts to formulate the complete number in words. Combine 'thirty-five thousand', 'two hundred', and 'twenty-three' to get the full number written in words.

Key Concepts

Place Value

Place value is a fundamental concept in mathematics that helps us understand the value of a digit based on its position in a number. Every digit in a number has a specific place value, which is determined by its position from right to left.
For instance, in the number 35,223, each digit has a distinct place value:

• 3 is in the ten-thousands place
• 5 is in the thousands place
• 2 is in the hundreds place
• 2 is in the tens place
• 3 is in the ones place

Understanding place value is crucial as it allows us to break down and build numbers, making them easier to comprehend and work with. Every move one place to the left increases the value by a factor of ten, while moving one place to the right decreases the value by the same factor.

Thousands

The thousands place is a key part of understanding large numbers. It helps us identify and express how many groups of one thousand are in a number. In the number 35,223, the thousands place is occupied by the digit '5'. However, when we consider the tens of thousands, the number is 35, encompassing the digits 3 and 5 together.
To express the thousands place in words:

• Write the number before the thousands you want to express. In this case, it's 35.
• The word 'thousand' is then placed after this number, so 35 becomes 'thirty-five thousand.'

Learning to identify and articulate the thousands place is important, as it forms the basis for understanding larger numbers and engaging with complex arithmetic problems.

Hundreds

The hundreds place indicates how many sets of one hundred are present in a number. In our example of the number 35,223, the hundreds place is occupied by the digit '2'. This tells us there are 200 in the remaining portion of the number after accounting for thousands.
Here’s how you write the hundreds part in words:

• Identify the digit in the hundreds place, which is 2 here.
• Translate this digit into words combined with 'hundred,' giving us 'two hundred.'

The hundreds place adds another layer of precision to our understanding of a number. Unlike the thousands place, which deals with larger quantities, hundreds give us detailed insight into the smaller parts of a number, which is crucial when it comes to constructing numbers in words fully. This knowledge helps in forming a complete word representation of a number by connecting thousands, hundreds, tens, and units.