Place Value of 698321

Every number consists of digits in specific positions that determine its value. The number 698321 has a unique place value breakdown that helps us understand how each digit contributes to the overall number.

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 698321 in expanded form, we show exactly how each digit contributes to the total value:

1 × 100 + 2 × 101 + 3 × 102 + 8 × 103 + 9 × 104 + 6 × 105

Real-World Applications

The number 698321 could be used in various real-world scenarios:

Currency
$698321

Measurement
698321 meters

Scientific Data
698321 units

Academic Scores
698321 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