Value of a digit

🎆1. Understanding Place Value:

  • Place Value Definition: Place value is the value of a digit based on its position in a number.
  • Digits: The symbols 0-9 are used to represent numbers.
  • Positions: In a number, each digit has a position (ones, tens, hundreds, etc.) that determines its value.

🎈2. Value of a Digit:

  • Ones Place: The digit in the ones place represents how many ones are in the number.
    • Example: In 342, the digit 2 is in the ones place, so its value is 2.
  • Tens Place: The digit in the tens place represents how many tens are in the number.
    • Example: In 342, the digit 4 is in the tens place, so its value is 40.
  • Hundreds Place: The digit in the hundreds place represents how many hundreds are in the number.
    • Example: In 342, the digit 3 is in the hundreds place, so its value is 300.

🥽3. Identifying the Value of a Digit:

  • Example 1: In the number 587:
    • The digit 5 is in the hundreds place, so its value is 500.
    • The digit 8 is in the tens place, so its value is 80.
    • The digit 7 is in the ones place, so its value is 7.
  • Example 2: In the number 1,236:
    • The digit 1 is in the thousands place, so its value is 1,000.
    • The digit 2 is in the hundreds place, so its value is 200.
    • The digit 3 is in the tens place, so its value is 30.
    • The digit 6 is in the ones place, so its value is 6.

🎟4. Expanded Form:

  • Writing in Expanded Form: Break down the number to show the value of each digit.
    • Example: 763 in expanded form is 700 + 60 + 3.
  • Practice: Write various numbers in expanded form to understand the value of each digit.

🎁5. Using a Place Value Chart:

  • Place Value Chart: A tool that helps visualize the value of digits in different positions.
    • Example: For the number 4,892:
      • Thousands: 4 (Value: 4,000)
      • Hundreds: 8 (Value: 800)
      • Tens: 9 (Value: 90)
      • Ones: 2 (Value: 2)
  • Practice: Use a place value chart to identify and write the value of digits in different numbers.

🎋6. Comparing Values of Digits:

  • Comparison: Compare the value of digits in different numbers.
    • Example: In 735 and 653, the digit 7 in 735 represents a greater value (700) than the digit 6 in 653 (600).
  • Practice: Compare digits from different numbers to understand how their value changes with their position.

62 / 25

Remember the place values:

tensones
  

Look for a 2 in the ones place. A 2 in the ones place is worth 2.

The underlined digit in this number is a 2 in the ones place:

tensones
22

The underlined digit in 62 is worth 2.

35 / 43

Remember the place values:

tensones
  

Look for a 3 in the tens place. A 3 in the tens place is worth 30.

The underlined digit in this number is a 3 in the tens place:

tensones
35

The underlined digit in 35 is worth 30.

  • 42
  • 22

Remember the place values:

tensones
  

Look for a 2 in the ones place. A 2 in the ones place is worth 2.

The underlined digit in this number is a 2 in the ones place:

tensones
42

The underlined digit in 

42 is worth 2.

Let’s practice!