Place value (T4 W6)
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Place value is the value of a digit based on its position in a number. For example, in the number 4,562, the digit 4 is in the thousands place, meaning it represents 4,000. Understanding place value helps us read, write, and compare numbers effectively. Each position in a number has a value that is ten times greater than the position to its right.
Let's take the number 3,478. We can break this down by place value: 3 is in the thousands place (3,000), 4 is in the hundreds place (400), 7 is in the tens place (70), and 8 is in the ones place (8). So, 3,478 can be expressed as 3,000 + 400 + 70 + 8. This method helps us understand the contribution of each digit to the overall value of the number.
Now, let's practice identifying the place values of digits in a number. Consider the number 5,236. What is the value of the digit 2? Students should recognize that 2 is in the hundreds place, so its value is 200. Next, what is the value of the digit 6? Students should identify that 6 is in the ones place, making its value 6. This exercise reinforces the concept of place value and helps students visualize the breakdown of numbers.
Students will now complete a worksheet with various place value problems. For example, they will be asked to write the number 7,145 in expanded form, which is 7,000 + 100 + 40 + 5. They will also solve problems where they need to identify the place value of specific digits in different numbers. This independent practice will help solidify their understanding of the topic.
Answer: 5,000
The digit 5 is in the thousands place, which means it represents 5,000.
Answer: 10
The digit 1 is in the tens place, so its value is 10.
Answer: 4,000 + 200 + 5
In expanded form, each digit is expressed according to its place value.
Answer: 7
The digit 7 is in the hundreds place, representing 700.
Answer: 3,000
The digit 3 is in the thousands place, so it represents 3,000.
Answer: 23
The digit 2 is in the tens place, and there are 23 tens in 1,230.
Answer: 9,000
The digit 9 is in the thousands place, representing 9,000.
Answer: 600
The digit 6 is in the hundreds place, so its value is 600.