Million — Definition, Formula & Examples

A million is the number 1,000,000, which equals one thousand thousands. It is written as a 1 followed by six zeros.

One million is the natural number equal to $10^6$ , or equivalently $1{,}000 \times 1{,}000$ . In the place-value system, it occupies the seventh digit position from the right.

Key Formula

1{,}000{,}000 = 10^6 = 1{,}000 \times 1{,}000

Where:

$10^6$ = Ten raised to the sixth power, meaning 10 multiplied by itself 6 times

Worked Example

Problem: A school district has 25 schools, each with 800 students. How many students would it take to reach one million?

Find total students: Multiply the number of schools by students per school.

25 \times 800 = 20{,}000

Compare to one million: Divide one million by the district total to see how many districts it would take.

1{,}000{,}000 \div 20{,}000 = 50

Answer: You would need 50 school districts of that size to have one million students.

Why It Matters

Millions appear constantly in real life — population counts, distances in space, and money. Understanding what a million actually represents helps you make sense of news headlines, science facts, and budgets that use large numbers.

Common Mistakes

Mistake: Confusing the number of zeros in a million, billion, and trillion.

Correction: A million has 6 zeros (1,000,000), a billion has 9 zeros (1,000,000,000), and a trillion has 12 zeros. Each step multiplies by 1,000.