How to Convert Place Values?
Converting between place values is a key aspect of understanding numbers and performing mathematical operations.
A step-by-step guide to place values converting
A place value is a digit’s value within a number. For instance, the \(5\) within \(350\) stands for five tens, which is \(50\).
To convert in-between place values, don’t forget these relationships:
one ten \(= 10\) ones
one hundred \(= 10\) tens
one thousand \(= 10\) hundreds
one ten thousand \(= 10\) thousands
One hundred thousand \(= 10\) ten-thousands
The place value system is a way to organize numbers. It is based on the “base 10” system, where each place represents ten times the value of the place to its right. The places in a number, starting from the right, represent the ones, tens, hundreds, thousands, and so on. For example, in the number 1234:
- 4 is in the ones place.
- 3 is in the tens place.
- 2 is in the hundreds place.
- 1 is in the thousands place.
So, the number 1234 means 1 thousand, 2 hundreds, 3 tens, and 4 ones.
The Absolute Best Book for 4th Grade Students
Now, let’s say you want to convert a number from one place value to another, for example, converting 3 hundreds to tens. Here are the steps:
- Identify the place value of the number you’re starting with. In our example, we’re starting with 3 hundreds.
- Identify the place value you want to convert to. In our example, we want to convert to tens.
- Now, think about the relationship between the two place values. Moving one place to the right (like from hundreds to tens) means multiplying by 10. Moving one place to the left (like from tens to hundreds) means dividing by 10. In our case, we’re moving from hundreds to tens, so we multiply by 10.
- Multiply or divide as necessary. In our example, we multiply 3 (hundreds) by 10 to get 30 tens. So, 3 hundreds is the same as 30 tens.
Remember, when you’re working with place values, you’re basically working with powers of 10. Every time you move one place to the right, you’re multiplying by 10. Every time you move one place to the left, you’re dividing by 10.
A Perfect Book for Grade 4 Math Word Problems!
Converting place values-Example:
What is the number to fill in the blank?
\(9\) thousands \(=\) … hundreds
Solution: One thousand \(= 10\) hundreds
So, to find out the number, start counting by tens.
\(9\) thousands \(= 90\) hundreds
Exercises for Converting Place Values
Fill in the blank.
- \(60\) hundreds \(=\) _______ tens
- \(3\) hundreds \(=\) _______ tens
- \(7\) ten thousands \(=\) _______ hundreds
- \(\color{blue}{600}\)
- \(\color{blue}{30}\)
- \(\color{blue}{700}\)
The Best Math Books for Elementary Students
Related to This Article
More math articles
- Descending into Numbers: A Deep Dive into the Floor Value
- A Comprehensive Guide to the Properties of Rhombuses
- 8th Grade FSA Math FREE Sample Practice Questions
- A Deep Dive into the nth Term Test for Divergence
- 6th Grade IAR Math Worksheets: FREE & Printable
- Opposite Integers
- Top 10 Tips to Overcome HSPT Math Anxiety
- How to Use Memory Tricks to Memorize Math Formulas?
- The Ultimate OAA Algebra 1 Course (+FREE Worksheets)
- FREE 6th Grade MCAS Math Practice Test
What people say about "How to Convert Place Values? - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.