Place value (T1 W2)
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Place value is the value of a digit based on its position in a number. For example, in the number 4,582, the digit 4 is in the thousands place, which means it represents 4,000. Each position in a number has a different value: the ones, tens, hundreds, thousands, and so on. Understanding place value helps us read, write, and compare numbers accurately.
Let's take the number 7,236. To understand its place value, we can break it down: 7 is in the thousands place (7,000), 2 is in the hundreds place (200), 3 is in the tens place (30), and 6 is in the ones place (6). So, 7,236 can be expressed as 7,000 + 200 + 30 + 6. This breakdown helps us see how each digit contributes to the overall value of the number.
Now, let's practice identifying place values together. Consider the number 5,849. What is the value of the digit 8? Students should recognize that 8 is in the hundreds place, so its value is 800. Next, what is the value of the digit 4? Students should identify that 4 is in the tens place, giving it a value of 40. This exercise reinforces the concept of place value through collaborative discussion.
For independent practice, students will complete a worksheet with various numbers. They will be asked to identify the value of specific digits in each number and to express the number in expanded form. For example, for the number 3,405, students should write 3,000 + 400 + 0 + 5. This activity will help solidify their understanding of place value.
Answer: 6,000
The digit 6 is in the thousands place, which means it represents 6,000.
Answer: 1,000
The digit 1 is in the thousands place, so its value is 1,000.
Answer: 6
The digit 6 is in the tens place of the number 4,762.
Answer: 5,000 + 300 + 0 + 9
In expanded form, each digit is represented by its value based on its place.
Answer: 3,000
The digit 3 is in the thousands place, which means it represents 3,000.
Answer: 200
The digit 2 is in the hundreds place, so its value is 200.
Answer: 0
The digit 0 is in the tens place, which means it has no value in this number.
Answer: 1,000 + 200 + 30 + 4
Each digit is expressed by its value based on its position in the number.