Place Value

Place value is the value of a digit based on its position within a number. In a multi-digit number, each digit has a place value determined by its position, or "place," in the number. The place values are powers of 10, and they help us understand the meaning of each digit in a number.

Example:

Let's look at the number 352. In this number, the digit 2 is in the ones place, the digit 5 is in the tens place, and the digit 3 is in the hundreds place. The place values for each digit in the number 352 are as follows:

• 3 in the hundreds place has a value of 3 x 100 = 300
• 5 in the tens place has a value of 5 x 10 = 50
• 2 in the ones place has a value of 2 x 1 = 2

So, the value of the number 352 can be expressed as 300 + 50 + 2, which equals 352.

Understanding Place Value

Understanding place value helps us perform operations like addition, subtraction, multiplication, and division. It also helps us to read and write numbers in different forms, such as expanded form and word form.

For example, the number 352 in expanded form would be 300 + 50 + 2, and in word form, it would be "three hundred fifty-two."

By recognizing the place value of each digit in a number, we can better understand and work with numbers in various mathematical contexts.

Learning and mastering place value is an important foundational skill in mathematics that helps us build a strong understanding of numbers and their relationships.

[Place Value] Related Worksheets and Study Guides:

• Ordering DecimalsMathematics • Fifth Grade
• Place ValueMathematics • Second Grade
• Place ValueMathematics • Third Grade