Place Value of 7 in 8477

In our number system, the value of a digit depends on its position within the number. Let's analyze where the digit 7 appears in the number 8477 and what value it contributes.

8477

Results for 7 in 8477

Occurrence 1: The digit 7 is in the Ones place.

Its value is: 7 (7 × 1)

Occurrence 2: The digit 7 is in the Tens place.

Its value is: 70 (7 × 10)

Place Value Visualization

Ones

8

Tens

4

Hundreds

7

Thousands

7

Let's check place value of 8477.

Understanding Place Values

In our decimal number system (base 10), each position in a number represents a power of 10. The position determines the value that the digit contributes to the total number.

For whole numbers (to the left of the decimal point):

  • The ones place (10^0): The digit's value is itself
  • The tens place (10^1): The digit's value is itself multiplied by 10
  • The hundreds place (10^2): The digit's value is itself multiplied by 100
  • And so on, increasing by powers of 10

For decimal numbers (to the right of the decimal point):

  • The tenths place (10^-1): The digit's value is itself divided by 10
  • The hundredths place (10^-2): The digit's value is itself divided by 100
  • The thousandths place (10^-3): The digit's value is itself divided by 1,000
  • And so on, decreasing by powers of 10

Calculating the Value

Value of 7 in the Ones place:

Step 1: Identify the place value - Ones

Step 2: For the Ones place, we multiply the digit by 1

Step 3: Calculate 7 × 1 = 7

Therefore: The digit 7 in the Ones place contributes 7 to the total value of 8477.

Value of 7 in the Tens place:

Step 1: Identify the place value - Tens

Step 2: For the Tens place, we multiply the digit by 10

Step 3: Calculate 7 × 10 = 70

Therefore: The digit 7 in the Tens place contributes 70 to the total value of 8477.

Digit Position Value
8Thousands8000
4Hundreds400
7Tens70
7Ones7

Frequently Asked Questions

What is place value?

Place value is the value of a digit based on its position in a number. In our decimal system (base 10), each position represents a different power of 10.

How do I find the place value of a digit?

To find the place value of a digit, you need to:

  1. Identify the position of the digit (ones, tens, hundreds, etc.)
  2. For whole numbers: Multiply the digit by the corresponding power of 10
  3. For decimal places: Divide the digit by the corresponding power of 10

Why is place value important?

Place value is fundamental to our number system. It allows us to represent any quantity using just ten digits (0-9). Understanding place values helps with:

  • Reading and writing numbers correctly
  • Understanding the magnitude of numbers
  • Performing mathematical operations accurately
  • Working with decimal numbers and fractions

More Examples

64.12

Place value of 6 in 64.12
70.54

Place value of 5 in 70.54
1.69

Place value of 9 in 1.69
5173

Place value of 5 in 5173
63.98

Place value of 3 in 63.98

Learning Resources

Want to learn more about place values and our number system? Check out these helpful resources: