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, which means it represents 4,000. The digit 5 is in the hundreds place, representing 500, the 6 is in the tens place, representing 60, and the 2 is in the ones place, representing 2. Understanding place value helps us read, write, and compare numbers effectively.
Let's take the number 7,348. To understand its place value, we can break it down: 7 in the thousands place is 7,000, 3 in the hundreds place is 300, 4 in the tens place is 40, and 8 in the ones place is 8. So, 7,348 can be expressed as 7,000 + 300 + 40 + 8. This breakdown helps us see how much each digit contributes to the overall value of the number.
Now, let's practice identifying place values together. I will write the number 5,214 on the board. Can anyone tell me what the value of the digit 2 is in this number? (Pause for responses.) That's right! The digit 2 is in the hundreds place, so it represents 200. Let's do another one: what about the digit 5? (Continue with similar questions, encouraging students to explain their reasoning.)
Now it's your turn to practice independently. Solve the following problems: 1) What is the place value of the digit 6 in the number 6,789? 2) Break down the number 3,405 into its place values. Show your working clearly. 3) Write the number 2,150 in expanded form. Remember to check your work and correct any mistakes!
Answer: 9000
The digit 9 is in the thousands place, which means it represents 9,000.
Answer: 500
The digit 5 is in the hundreds place, representing 500.
Answer: 4000 + 300 + 2
In expanded form, each digit is represented by its place value.
Answer: 9
The digit 9 is in the tens place, representing 90.
Answer: 300
The digit 3 is in the hundreds place, which means it represents 300.
Answer: 200
The digit 2 is in the hundreds place, so it represents 200.
Answer: 5000 + 600 + 70 + 8
Each digit is broken down according to its place value.
Answer: 7000
The digit 7 is in the thousands place, representing 7,000.