Question

Write 9,322 in words.

Short answer

Nine thousand three hundred twenty-two

Step-by-step solution

Break Down the Number

Divide the number 9,322 into its place values: thousands, hundreds, tens, and ones.

Identify Each Place Value

9,322 has 9 thousands, 3 hundreds, 2 tens, and 2 ones.

Write Each Place Value in Words

Write the individual place values in words: 9 is 'nine', 3 is 'three', 20 is 'twenty', and 2 is 'two'.

Combine the Words

Combine the words for each place value to form the complete number: 'nine thousand three hundred twenty-two'.

Key concepts

place value

Place value helps us understand the position of a digit in a number and its corresponding value. In the number 9,322, the digit '9' is in the thousands place, so its value is 9,000. The digit '3' is in the hundreds place, so its value is 300. The digit '2' in the tens place means twenty, and the last '2' is in the ones place, meaning its value is simply 2.
By knowing a digit's place value, you can accurately read and write large numbers without confusion. Mixing up place values can lead to significant misunderstandings—think how different 9,000 is from 900!

number decomposition

Number decomposition is the process of breaking down a number into its individual place values. This helps in understanding and visualizing the number better. Taking the number 9,322 as an example, you break it down into:

• Thousands place: 9,000
• Hundreds place: 300
• Tens place: 20
• Ones place: 2

Decomposing numbers makes complex arithmetic simpler and aids in mental math. It also lays a solid foundation for topics like addition, subtraction, and division. Imagine you need to add 9,322 and 4,578; understanding the place values and decomposition of both numbers can help you line up and add each place value sequentially.

math vocabulary

Understanding specific math vocabulary is crucial for mastering different concepts. Here are some terms relevant to writing numbers in words:

• Place Value: The value a digit has based on its position in a number.
• Decompose: Breaking a number down into its place values.
• Thousands: Place value representing units of 1,000.
• Hundreds: Place value representing units of 100.
• Tens: Place value representing units of 10.
• Ones: The unit place value.

Using the correct vocabulary will help you more effectively communicate mathematical ideas and improve comprehension.