Place value (T2 W10)
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Place value is the value of a digit based on its position within a number. For example, in the number 4,582, the digit '4' is in the thousands place, meaning it represents 4,000. Understanding place value helps us read, write, and compare numbers accurately. Each position in a number has a value that is ten times greater than the position to its right.
Let's take the number 7,306. We can break it down by place value: 7 is in the thousands place (7,000), 3 is in the hundreds place (300), 0 is in the tens place (0), and 6 is in the units place (6). Therefore, 7,306 can be expressed as 7,000 + 300 + 0 + 6. This breakdown 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 different numbers. For the number 5,214, what is the value of the digit '2'? Students should recognize that '2' is in the hundreds place, representing 200. Next, in the number 9,048, what is the value of '8'? Students should identify that '8' is in the units place, representing 8. Encourage students to explain their reasoning as they work through these examples.
Students will now complete a worksheet with various problems related to place value. For example, they will be asked to write the number 3,405 in expanded form, identify the value of the digit '3' in the number 6,732, and compare two numbers based on their place values. Remind students to show their working clearly and to check their answers for accuracy.
Answer: 5,000
The digit '5' is in the thousands place, which means it represents 5,000.
Answer: 4
The digit '4' is in the tens place, representing 40.
Answer: 1,000 + 200 + 30 + 4
In expanded form, each digit is broken down by its place value.
Answer: 0
The digit '0' is in the tens place but represents no value.
Answer: 700
The digit '7' is in the hundreds place, which means it represents 700.
Answer: 3,456
In the number 3,456, the '3' is in the thousands place.
Answer: 600
The digit '6' is in the hundreds place, representing 600.
Answer: 5
The number 12,345 has five digits.