Place Value

Place value is a fundamental mathematical concept that helps us understand the value of digits in a number based on their position. It's crucial for understanding and working with numbers, especially when dealing with larger numbers. Here's a lesson on place value:

Key Concepts of Place Value:

Reading Numbers Using Place Value:  Start from the left and move to the right to read a number using place value

For example, in the number 3,426:

So, 3,426 can be read as "three thousand, four hundred, twenty-six."

Writing Numbers Using Place Value:

To write a number using place value, you express each digit's value in its respective place and add them together. For example, to write the number "five thousand, two hundred, thirty-eight" in standard form:

So, the number is 5,238.

Expanded Form:

Expanded form is a way to express a number as the sum of its place values. For example, in the number 4,859:

So, the expanded form of 4,859 is 4,000 + 800 + 50 + 9.

Comparing Numbers Using Place Value:

To compare numbers, you look at the digits in corresponding places from left to right. The number with the larger digit in the leftmost place is greater. For example, in comparing 3,456 and 3,498:

Place Value is a fundamental concept that helps us understand and work with numbers. It's essential for basic arithmetic, including addition, subtraction, multiplication, and division, as well as more advanced mathematical concepts.