Problem 10 - Fundamentals of Mathematics

Question

For the following problems, write all numbers in words. $$1491$$

Step-by-Step Solution

Answer

The number 1491 in words is 'one thousand four hundred ninety-one'.

Step 1: Identify Each Digit

To convert the number 1491 into words, first identify each digit of the number: the thousands, hundreds, tens, and units place. Here, '1' is the thousand digit, '4' is in the hundreds place, '9' is in the tens place, and '1' is the units digit.

Step 2: Write the Thousand Place

The first digit is '1' in the thousands place. In words, it is written as 'one thousand'.

Step 3: Write the Hundreds Place

The second digit is '4' in the hundreds place. In words, it is written as 'four hundred'.

Step 4: Write the Tens and Units

Combine the last two digits '91'. When converting to words, recognize this as 'ninety-one'.

Step 5: Combine All Parts

Combine all the sections together to form the full written number: 'one thousand four hundred ninety-one'.

Key Concepts

Place Value

Understanding place value is crucial when converting numbers into words. Place value refers to the value of a digit depending on its position within a number. Each position in a number is ten times the value of the position to its right. In the number 1491:

• The digit '1' is in the thousands place, making its value 1000.
• The digit '4' is in the hundreds place, meaning it has a value of 400.
• The digit '9' is in the tens place, contributing a value of 90.
• The last digit '1' is in the units place, giving it a value of 1.

Recognizing these positions helps you break down the number systematically, ensuring all parts are accounted for when writing it in words. This hierarchical structure makes it easier to understand larger numbers and their composition.

Writing Numbers in Words

To write numbers in words, each digit must be converted based on its position. Start with the leftmost digit and move to the right, writing the number as a string of words.

• Thousand Place: '1' in the thousands place is written as 'one thousand.'
• Hundreds Place: '4' in the hundreds place becomes 'four hundred.'
• Tens and Units: Combine the tens digit '9' and units digit '1' to create 'ninety-one.'

Once you've converted each part, combine them. For example, 1491 becomes 'one thousand four hundred ninety-one.' Writing numbers in words ensures clear communication, especially when words avoid confusion that numeric representations sometimes cause.

Digit Identification

Identifying each digit is the first step in writing numbers in words. This process involves recognizing each digit's specific place value and the role it plays in forming the overall number.

• In 1491, start by noting '1' as the thousands digit. This helps set up the foundation for larger numbers.
• Next, '4' is identified as the hundreds digit, further detailing the numeric value.
• Follow with the tens digit '9'—a pivotal part in forming numbers between 10 and 99.
• Finally, the units digit '1' completes the number's identification.

Accurately identifying each digit's position and value enables a seamless transition from numbers to words. It ensures the correct spelling and notation of each number, supporting effective learning and numerical literacy.