Question

Write 12,640 in words.

Short answer

twelve thousand six hundred forty

Step-by-step solution

Break Number into Parts

Identify the separate components of the number 12,640. This number consists of '12' in the thousands place and '640' in the hundreds, tens, and ones places.

Write the Thousands Part

Write the word equivalent for the thousands part: '12,000'. This translates to 'twelve thousand'.

Write the Rest of the Number

Now, consider the remaining part '640'. This is written in words as 'six hundred forty'.

Combine the Parts

Combine the two parts you wrote down. '12,000' in words 'twelve thousand' with '640' in words 'six hundred forty'. Thus, '12,640' in words is 'twelve thousand six hundred forty'.

Key concepts

Place Value

Understanding place value is crucial when writing numbers in words. Place value helps us know the value of each digit in a number based on its position.

For the number 12,640:

• The digit '1' is in the ten-thousands place, giving it a value of 10,000.
• The digit '2' is in the thousands place, giving it a value of 2,000.
• The digit '6' is in the hundreds place, giving it a value of 600.
• The digit '4' is in the tens place, giving it a value of 40.
• The digit '0' is in the ones place, giving it no value (0).

Breaking down numbers into place values helps us correctly write them in words.

Number Decomposition

Number decomposition involves splitting a large number into smaller, more manageable parts.

For the number 12,640:

• We first recognize '12,000' as one part.
• Next, we see '640' as another part, which can be further split if needed into '600' and '40'.

By breaking the number into these parts, it becomes easier to understand and write in words.

Hence, we get:

• '12,000' becomes 'twelve thousand'.
• '640' becomes 'six hundred forty' without a conjunction like 'and' in between.

Number Writing Steps

Breaking down the steps to writing numbers in words simplifies the process:

Step 1: Identify the parts of the number. For 12,640, we separate it into '12,000' and '640'.

Step 2: Write the thousands part. '12,000' as 'twelve thousand'.

Step 3: Write the remaining number part. '640' as 'six hundred forty'.

Step 4: Combine these parts. We get 'twelve thousand six hundred forty'.
Doing each step ensures accuracy and a clear understanding of how to express numerals as words.