Place value (T4 W6)
Progress: 0/7 checkpoints complete (0%).
0/400
0/400
0/400
0/400
0/400
0/400
0/400
0 due | 0 overdue
No due spaced reviews.
No recommendations right now.
No baseline score yet.
No topic mastery records yet.
No adaptive path suggestions yet.
Move from lesson study to exam practice in Mathematics.
No direct subject mapping found yet. Browse past papers to pick province and subject.
Place value is the value of a digit depending 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. The digit 5 is in the hundreds place, representing 500, and so on. Understanding place value helps us read, write, and compare large numbers effectively.
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 the place values of digits in 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 understanding of how to determine the value of each digit based on its position.
For independent practice, students will solve the following problems: 1) Write the number 3,405 in expanded form. 2) What is the value of the digit 9 in the number 29,678? 3) If you have the number 1,234, what is the place value of the digit 2? Students should show their working clearly, and we will review their answers together.
Answer: 6,000
The digit 6 is in the thousands place, which means it represents 6,000.
Answer: 300
The digit 3 is in the hundreds place, so its value is 300.
Answer: 2,000 + 0 + 10 + 8
In expanded form, each digit is expressed according to its place value.
Answer: 5,000
The digit 5 is in the thousands place, representing 5,000.
Answer: 700
The digit 7 is in the hundreds place, so its value is 700.
Answer: 4
The digit 4 is in the tens place of the number 9,842.
Answer: 1,000
The digit 1 is in the thousands place, which gives it a value of 1,000.
Answer: 200
The digit 2 is in the hundreds place, so its value is 200.