Place Value
Place Value in Grade 4 Saxon Math Intermediate 4 Chapter 1 establishes that every digit's value depends on its position. In 528, the 8 in the ones place is worth 8, the 2 in the tens place is worth 20, and the 5 in the hundreds place is worth 500, giving 500 + 20 + 8 = 528. Each position is ten times greater than the one to its right. Students apply this by identifying the value of specific digits: in 6,491, the digit 4 is in the hundreds place and has a value of 400. The skill distinguishes between a digit's place name and its actual numerical value.
Key Concepts
New Concept The value of each place is determined by its position.
What’s next Next, you’ll use diagrams and money manipulatives to build and compare three digit numbers, putting the power of place value into practice.
Common Questions
What is place value?
Place value means that a digit's value depends on its position. In 528, the 5 is worth 500, the 2 is worth 20, and the 8 is worth 8.
How much is each place worth compared to the one to its right?
Each place is 10 times greater. Tens are 10 times the ones, hundreds are 10 times the tens, and so on.
What is the value of the digit 4 in 6,491?
The 4 is in the hundreds place, so its value is 4 x 100 = 400.
What is the difference between a digit's place and its value?
The place is the name of the position (such as tens). The value is the actual worth in that position (such as 40 for a 4 in the tens place).
How can you find the value of any digit?
Identify the position name, then multiply the digit by the place value (1, 10, 100, 1000, etc.). For example, 6 in the thousands place has a value of 6,000.