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.

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**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?)

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**Questions to ask students:**

**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.*

- Sample answer that indicates understanding:

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__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.

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**Additional Resources: **

Additional in depth content knowledge

LearnZillion Video: Place Value – Compare The Value of Digits

**Sample Formative Assessment Tasks:**

**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.

**Resources/Tasks to Help Your Child at Home: **

Using a deck of cards, create a 6 digit number or using numbers in the newspaper, etc. have your child compare the place values using the language: “The 6 in the hundreds place is 1/10 the value of the 6 in the thousands place.” This can also be done by looking for numbers with the same digits to compare the place values.

Khan Academy: Comparing Place Values https://goo.gl/D8rtq9