Fourth grade is a pivotal year for solidifying foundational math concepts. Among the most important is understanding place value. Mastering place value in the ones, tens, hundreds, thousands, ten thousands, and hundred thousands places is crucial for future success in mathematics, particularly when students begin working with larger numbers and more complex operations. A cornerstone of this understanding is often achieved through targeted worksheets, such as a “4.NBT.1 Worksheet.” These worksheets aim to reinforce the concept that a digit in one place represents ten times what it represents in the place to its right.
Understanding the “Ten Times the Value” Principle
The 4.NBT.1 standard directly addresses this core concept. It expects students to 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. This isn’t just about memorizing place values; it’s about understanding the *relationship* between adjacent place values. For example, students should be able to explain that the ‘2’ in 200 represents ten times the value of the ‘2’ in 20. This understanding extends to larger numbers as well, allowing them to compare the value of digits in the ten thousands place versus the thousands place, and so on.
These worksheets often present a variety of problems designed to assess this understanding. They might ask students to:
* Compare the values of digits in different place values within the same number.
* Write numbers in expanded form to highlight the value of each digit.
* Solve word problems that require understanding the “ten times the value” principle in real-world contexts.
* Identify errors in place value understanding.
By working through these types of problems, students develop a deeper and more intuitive grasp of place value, which will serve them well as they progress to more advanced mathematical topics.
Example 4.NBT.1 Worksheet Problems and Solutions
Let’s explore some examples of questions you might find on a 4.NBT.1 worksheet and discuss the solutions. This will provide a clearer picture of the types of problems that target this specific standard.
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Problem: In the number 5,555, how is the value of the digit ‘5’ in the hundreds place related to the value of the digit ‘5’ in the tens place?
Solution: The ‘5’ in the hundreds place (500) is ten times the value of the ‘5’ in the tens place (50).
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Problem: What is the value of the digit ‘7’ in the number 73,492? What would be the value of the ‘7’ if it were one place to the right?
Solution: The value of the ‘7’ is 70,000. If it were one place to the right, the value would be 7,000.
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Problem: Write the number 34,618 in expanded form showing how each digit’s place value contributes to the total value.
Solution: 30,000 + 4,000 + 600 + 10 + 8
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Problem: Sarah said that in the number 6,666, all the ‘6’s have the same value. Is she correct? Explain your answer.
Solution: Sarah is incorrect. While they are all the digit ‘6’, their values are different based on their place value. The ‘6’ on the right is in the ones place (6), the next ‘6’ is in the tens place (60), the next ‘6’ is in the hundreds place (600), and the ‘6’ on the left is in the thousands place (6,000).
Working through these types of questions helps students visualize and internalize the relationship between place values. The more they practice, the more confident they become in applying this understanding to more complex mathematical problems.
Ultimately, a 4.NBT.1 worksheet serves as a valuable tool for both teachers and students. It provides a structured way to assess and reinforce understanding of place value, ensuring that students have a strong foundation upon which to build their future mathematical knowledge.
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