Year 6 Maths: Place Value

What is Place Value?

Hello, Year 6! Today, we’re going to talk about place value. Place value is a way of understanding the value of each digit in a number based on its position.

Understanding Digits and Their Places

In our number system, we use digits from 0 to 9. Each digit has a place that tells us how much it is worth. For example, in the number 345:

• The 3 is in the hundreds place, so it is worth 300.
• The 4 is in the tens place, so it is worth 40.
• The 5 is in the units or ones place, so it is worth 5.

So, when we put it all together, 345 means:

Key Rules of Place Value

1. Position Matters: The value of a digit changes based on its position.
2. Place Values: Starting from the right, the places are: ones, tens, hundreds, thousands, and so on.
3. Zero’s Role: A zero in a number can change its value. For example, in 105, the zero in the tens place means there are no tens.

Tips and Tricks

• Use a Place Value Chart: Create a chart to help you see where each digit belongs.
• Break It Down: Always break down the number into its parts. This makes it easier to understand.
• Practice with Larger Numbers: Try using numbers with more digits, such as 1,234 or 12,345, to see how place value works in larger numbers.

Questions on Place Value

Easy Level Questions

1. What is the value of the digit 7 in the number 27?
2. In the number 145, what is the value of the digit 4?
3. What place does the digit 9 occupy in the number 59?
4. Write the number 305 in expanded form.
5. What is the value of the digit 6 in the number 706?
6. In the number 850, what is the value of the digit 8?
7. What digit is in the tens place of the number 432?
8. Write the number 602 in expanded form.
9. What is the value of the digit 5 in the number 150?
10. In the number 789, what is the value of the digit 7?

Medium Level Questions

11. What is the value of the digit 3 in the number 3,482?
12. Write the number 2,014 in expanded form.
13. In the number 5,678, what is the value of the digit 6?
14. What digit is in the hundreds place of the number 4,321?
15. What is the total value of the number 6,205?
16. Write the number 1,009 in expanded form.
17. In the number 2,345, what is the value of the digit 4?
18. What is the value of the digit 2 in the number 2,783?
19. What digit is in the thousands place of the number 9,087?
20. Write the number 503 in expanded form.

Hard Level Questions

21. What is the value of the digit 5 in the number 15,256?
22. Write the number 8,304 in expanded form.
23. In the number 7,845, what is the total value of the tens and ones place?
24. What digit is in the hundreds place of the number 5,678?
25. Write the number 1,002 in expanded form and explain it.
26. In the number 6,543, what is the value of the digit 4?
27. What is the value of the digit 9 in the number 9,876?
28. Write the number 4,210 in expanded form.
29. In the number 3,456, what is the value of the digit 3?
30. What digit is in the tens place of the number 2,019?

Answers and Explanations

Easy Level Answers

1. 7 (in the units place, worth 7).
2. 40 (4 is in the tens place).
3. 9 (in the units place).
4. 300 + 0 + 5.
5. 600 (6 is in the hundreds place).
6. 800 (8 is in the hundreds place).
7. 3 (3 is in the hundreds place).
8. 600 + 0 + 2.
9. 50 (5 is in the tens place).
10. 700 (7 is in the hundreds place).

Medium Level Answers

11. 3,000 (3 is in the thousands place).
12. 2,000 + 0 + 10 + 4.
13. 600 (6 is in the hundreds place).
14. 4 (4 is in the thousands place).
15. 6,000 + 200 + 0 + 5.
16. 1,000 + 0 + 0 + 9.
17. 40 (4 is in the tens place).
18. 200 (2 is in the thousands place).
19. 9 (9 is in the thousands place).
20. 500 + 0 + 3.

Hard Level Answers

21. 5,000 (5 is in the thousands place).
22. 8,000 + 300 + 0 + 4.
23. 40 + 5 = 45.
24. 6 (6 is in the hundreds place).
25. 1,000 + 0 + 0 + 2 (the zero means there are no hundreds or tens).
26. 400 (4 is in the hundreds place).
27. 900 (9 is in the thousands place).
28. 4,000 + 200 + 10 + 0.
29. 3,000 (3 is in the thousands place).
30. 0 (0 is in the tens place).

Happy learning, everyone! If you have any questions, feel free to ask!