Place Value of 680742

Every number consists of digits in specific positions that determine its value. The number 680742 has a unique place value breakdown that helps us understand how each digit contributes to the overall number.

Place Value Breakdown for 680742

Whole Number Part

Hundred Thousands	Ten Thousands	Thousands	Hundreds	Tens	Ones
2 What is the place of 2 in 680742	4 What is the place of 4 in 680742	7 What is the place of 7 in 680742	0 What is the place of 0 in 680742	8 What is the place of 8 in 680742	6 What is the place of 6 in 680742

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 680742 in expanded form, we show exactly how each digit contributes to the total value:

2 × 10⁰ + 4 × 10¹ + 7 × 10² + 8 × 10⁴ + 6 × 10⁵

Real-World Applications

The number 680742 could be used in various real-world scenarios:

Currency
$680742

Measurement
680742 meters

Scientific Data
680742 units

Academic Scores
680742 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