Place Value of 6.4728

Every number consists of digits in specific positions that determine its value. The number 6.4728 has a unique place value breakdown that helps us understand how each digit contributes to the overall number.

Place Value Breakdown for 6.4728

Whole Number Part

Ones
6

What is the place of 6 in 6.4728

Decimal Part

TenthsHundredthsThousandthsTen-Thousandths
4

What is the place of 4 in 6.4728

7

What is the place of 7 in 6.4728

2

What is the place of 2 in 6.4728

8

What is the place of 8 in 6.4728

What Does This Mean?

In our base-10 number system, each position represents a different power of 10:

  • Digits to the left of the decimal point represent whole numbers (ones, tens, hundreds, etc.)
  • Digits to the right of the decimal point represent fractions (tenths, hundredths, thousandths, etc.)
  • Each position's value is 10 times greater than the position to its right

Expanded Form

When we write 6.4728 in expanded form, we show exactly how each digit contributes to the total value:

6 × 100 + 4 × 10-1 + 7 × 10-2 + 2 × 10-3 + 8 × 10-4

Real-World Applications

The number 6.4728 could be used in various real-world scenarios:

Currency
$6.4728

Measurement
6.4728 meters

Scientific Data
6.4728 units

Academic Scores
6.4728 points

Teaching Tips

Understanding place value is fundamental to mathematics. Here are some tips for educators:

  • Use physical manipulatives like base-10 blocks to represent different place values
  • Practice reading large numbers by breaking them into groups of three digits
  • Compare numbers with the same digits in different orders to highlight place value
  • Connect place value to everyday contexts like money and measurement