Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.

Students are able to…

• Recognize and explain that the value of a digit is ten times greater than if the same digit was to the right.
• Describe what happens to a digit when it appears in different places within a number.
• Connect the relationships in place value to multiplication and division by 10.

Students are able to…because teachers:

• Provide opportunities to extend previous use of models and place value charts to compare place values.
• Promote discussion on patterns in place value and what is happening to the value of the digit as it changes places.
• Pose a variety of comparison situations where the same digit is used in different place values. (Ex. How does the value of the 2 in 532 compare with the value of the 2 in 523?)

• Write the pattern 4, 40, 400, 4,000. What is happening to the value of the 4 in this pattern?
• Sample answer that indicates understanding:  The 4 is increasing by 10 times each time.
• Sample answer that indicates an incomplete understanding or a misconception: The 4 is getting bigger and/or we are adding zeros to the number.
• What is the value of the 4 in 2,468?
• Sample answer that indicates understanding:  The value of the 4 in 2,468 is 4 hundreds or 400.
• Write a number where the value of the 3 is one tenth the value of the 3 in 738.
• Sample answer that indicates understanding: Any number that has the 3 in the ones place such as: 243, 53, etc.
• How does the value of the 4 digit in 2,468 compare to the value of the 4 in 21,346?
• Sample answer that indicates understanding:  The value of the 4 in 2,468 is 400 and the value of the 4 in 21,346 is 40.  The value of the 4 in 2,468 is 10 times greater than the value of the 4 in 21,346.
• How does the value of the 3 in 738 compare to the value of the 3 in 23,786?
• Sample answer that indicates understanding:  The value of the 3 in 738 is 30 and the value of the 3 in 23,786 is 3,000.  The 3 in 738 is one hundredth the value of the 3 in 23,786.
• How does place value connect to other math operations?
• Sample answer that indicates understanding: The value of a digit is like multiplying by ten when it moves to the left, and if a digit moves to the right, it is like dividing by ten.

FSA Notes

Cognitive Complexity Level: 1 – Recall

Achievement Level Descriptors:

2- recognizes that a digit in one place represents 10 times as much as it represents in the place to its right (for numbers up to and including 10,000), with visual representations

3- recognizes that a digit in one place represents 10 times as much as it represents in the place to its right (for numbers up to and including 100,000)

4- recognizes that a digit in one place represents 10 times as much as it represents in the place to its right (for numbers up to and including 1,000,000)

5- [intentionally left blank]

Assessment Limits:

Items may contain whole numbers within 1,000,000.

Items may not compare digits across more than 1 place value.

Blog Post

LearnZillion Video: Place Value – Compare The Value of Digits

Value of the Bills

Part 1:

Gina said, “In my pocket I have 25 of the same amount of dollar bills. What is the value of Gina’s money if she has:

• 25 one dollar bills
• 25 ten dollar bills
• 25 hundred dollar bills

Part 2:

Gina reasoned, “The value of the 2 when I have ten dollar bills is 200, but the value of the 2 when I have one dollar bills is only 20.” Is Gina correct? Why or why not?

Part 3:

Consider Parts A, B, and C above if you had 260 of the same amount of dollar bills. What would the value of the bills be? Explain how you found your answer.