Find value of missing number in place value.

Standard: 4.NBT.A.1

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.

Learning Outcomes

Students will identify different place values in numbers up to 10,000, helping them see how each position contributes to the overall value of the number.
Students can understand and recognize the place value of each digit in multi-digit numbers (ones, tens, hundreds, thousands, etc.).
Students can find and explain the place value of a given digit in a number by looking at its position.
For example, students can determine that the digit “3” in 3,452 represents 3,000, as it is in the thousands.

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Definition:

Place value is the value of a digit depending on its position in a number. Each position in a number has a different place value, such as ones, tens, hundreds, thousands, etc.

When we identify the place value of a specific digit, we consider its position to determine its value in the entire number.

Example 1:

Find the place value of the bold digit in the number 3,476.

Solution:

The bold digit is 4 in the thousands place.
The place value of 4 in this number is 4,000.

Answer: The place value of the bold digit 4 is 4,000.

Example 2:

Find the place value of the bold digit in the number 5,693.

Solution:

The bold digit is 5 in the thousands place.
The place value of 5 is 5,000.

Answer: The place value of the bold digit 5 is 5,000.

✅ It helps students understand the value of each digit in a number based on its position (ones, tens, hundreds, thousands, etc.).
✅ It builds strong number sense, essential for accurately solving larger math problems.
✅ It teaches logical thinking and pattern recognition, which are critical skills for problem-solving in real life, like reading prices, managing money, or analyzing data.

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