Problem 14 - Prealgebra

Question

In the following exercises, name each number in words. $$5,902$$

Step-by-Step Solution

Answer

Five thousand nine hundred two.

Step 1: Write Thousands Place

Identify the digit in the thousands place. The thousands place for the number 5,902 is 5. Therefore, write 'Five thousand'.

Step 2: Write Hundreds Place

Identify the digit in the hundreds place. The hundreds place for the number 5,902 is 9. Therefore, write 'nine hundred'.

Step 3: Write Tens and Units Place

Identify the digits in the tens and units place. The digits are 02 which is simply 'two'.

Step 4: Combine the Words

Combine all the parts: 'Five thousand', 'nine hundred', and 'two'. The full number in words is 'Five thousand nine hundred two'.

Key Concepts

Place Value

Understanding place value is essential in mathematics. It helps us determine the value of each digit in a number. For example, in the number 5,902:

• The 5 is in the thousands place, so it represents 5,000.
• The 9 is in the hundreds place, so it represents 900.
• The 0 is in the tens place, so it represents 0.
• The 2 is in the units (or ones) place, so it represents 2.

Place value gives meaning to each digit by assigning different powers of 10. This makes it possible to write numbers in words and understand their size.
Next time you see a number, try breaking it down using place value!

Writing Numbers in Words

Writing numbers in words helps improve our understanding of numbers and how large they are. Let's use the example from the original exercise—how to write the number 5,902 in words.

Here are the steps:
1. Identify the thousands place: The digit 5 is in the thousands place, so write 'Five thousand'.
2. Identify the hundreds place: The digit 9 is in the hundreds place, so write 'nine hundred'.
3. Identify the tens and units place: The digits 0 and 2 form the number 02, so write 'two'.

After breaking the number down by place value, combine all the parts: 'Five thousand', 'nine hundred', and 'two'.
So, the number 5,902 in words is 'Five thousand nine hundred two'.
Writing numbers in words can be a fun way to understand large numbers better and avoid mistakes in reading or writing them.

Mathematics Education

Mathematics education is crucial for developing logical thinking and problem-solving skills. Understanding concepts like place value and writing numbers in words helps build a strong foundation. Here are a few tips for success in mathematics:

• Practice Regularly: The more you practice, the better you get.
• Ask Questions: Never hesitate to ask your teacher or a peer if you're stuck.
• Use Visual Aids: Sometimes drawing a place value chart can help.
• Relate to Real Life: Try relating numbers to real-life scenarios to make learning more interesting.

Mathematics isn't just about numbers; it's about thinking critically and solving problems effectively. Keep practicing, and you'll find it easier and more enjoyable!