What is Place Value?

Place value is a way to understand the value of each digit in a number based on its position. In other words, the place of a digit tells us how much it is worth.

Understanding Place Value with Examples

Let’s take the number 452.

  • The digit 4 is in the hundreds place. So, it represents 400.
  • The digit 5 is in the tens place. So, it represents 50.
  • The digit 2 is in the ones place. So, it represents 2.

Putting it all together, 452 = 400 + 50 + 2.

Key Rules of Place Value

  1. Position Matters: The value of a digit changes depending on where it is in the number.
  2. Zero is Important: A zero can hold a place. For example, in 105, the zero tells us that there are no tens.
  3. Larger Numbers: In numbers like 3,276, the digit 3 is in the thousands place, so it represents 3,000.

Tips and Tricks

  • Use a Place Value Chart: Drawing a chart can help you see the value of each digit.| Thousands | Hundreds | Tens | Ones ||———–|———-|——|——|| 3 | 2 | 7 | 6 |
  • Practice with Real-Life Examples: Look at prices, addresses, and phone numbers to see how place value works in daily life.
  • Break it Down: Always break the number into parts based on its place value. It makes understanding easier.

Questions on Place Value

Easy Level Questions

  1. What is the place value of the digit 7 in the number 573?
  2. Write the number that has 5 in the hundreds place, 0 in the tens place, and 9 in the ones place.
  3. What is the value of 8 in the number 842?
  4. In the number 306, what digit is in the tens place?
  5. What is the place value of 3 in the number 3,450?
  6. Write the number for 3 thousands, 2 hundreds, 5 tens, and 1 one.
  7. What is the value of 0 in the number 1,204?
  8. In the number 56, what is the place value of 5?
  9. How many tens are in the number 120?
  10. What is the value of 9 in the number 1,298?

Medium Level Questions

  1. What is the place value of 6 in the number 6,482?
  2. Write the number that has 4 in the thousands place, 3 in the hundreds, 0 in the tens, and 5 in the ones.
  3. What is the total value of the digits in the number 1,205?
  4. In the number 5,803, what digit is in the hundreds place?
  5. What is the value of 9 in the number 9,876?
  6. Write the number for 2 thousands, 4 hundreds, 1 ten, and 6 ones.
  7. In the number 874, what is the value of the digit 7?
  8. How many hundreds are in the number 600?
  9. What is the place value of 1 in the number 1,024?
  10. Write the expanded form of the number 3,210.

Hard Level Questions

  1. What is the place value of 9 in the number 9,405?
  2. Write the number for 6 thousands, 1 hundred, 4 tens, and 3 ones.
  3. What is the total value of the digits in the number 7,142?
  4. In the number 4,506, what digit is in the tens place?
  5. What is the value of 5 in the number 5,893?
  6. Write the number that has 8 in the thousands place, 7 in the hundreds, 0 in the tens, and 2 in the ones.
  7. In the number 3,018, what is the value of the digit 3?
  8. How many tens are in the number 950?
  9. What is the place value of 2 in the number 12,345?
  10. Write the expanded form of the number 6,789.

Answers and Explanations

Easy Level Answers

  1. The place value of 7 is 70 (tens place).
  2. The number is 509.
  3. The value of 8 is 80 (tens place).
  4. The digit in the tens place is 0.
  5. The place value of 3 is 3,000 (thousands place).
  6. The number is 3,251.
  7. The value of 0 is 0.
  8. The place value of 5 is 50 (tens place).
  9. There are 12 tens in 120.
  10. The value of 9 is 9 (ones place).

Medium Level Answers

  1. The place value of 6 is 6,000 (thousands place).
  2. The number is 4,305.
  3. The total value is 3,000 + 200 + 0 + 5 = 3,205.
  4. The digit in the hundreds place is 8.
  5. The value of 9 is 900 (hundreds place).
  6. The number is 2,416.
  7. The value of 7 is 70 (tens place).
  8. There are 6 hundreds in 600.
  9. The place value of 1 is 1,000 (thousands place).
  10. The expanded form is 3,000 + 200 + 10 + 0.

Hard Level Answers

  1. The place value of 9 is 9,000 (thousands place).
  2. The number is 6,143.
  3. The total value is 7,000 + 100 + 40 + 2 = 7,142.
  4. The digit in the tens place is 0.
  5. The value of 5 is 500 (hundreds place).
  6. The number is 8,702.
  7. The value of 3 is 3,000 (thousands place).
  8. There are 95 tens in 950.
  9. The place value of 2 is 2,000 (thousands place).
  10. The expanded form is 6,000 + 700 + 80 + 9.

Now that you know about place value, remember to practice! Understanding place value will help you in many areas of maths. Keep up the good work!