6000000 in Scientific Notation

6000000 in scientific notation

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

6000000 in scientific notation is 6 × 10⁶ – the decimal point moves 6 places to the left, so the power of ten is 6.

  • E-notation: 6E+6 (calculators, Excel, programming)
  • Engineering notation: 6 × 10⁶ (the power is a multiple of 3)
  • Said aloud: six times ten to the power of six
  • Significant figures: 1 to 7 (the zeros at the end may or may not count)
  • Order of magnitude: \displaystyle 10^{6}
  • In the Indian system: 60,00,000 – sixty lakh
  • In words: six million

Step-by-step solution

The problem

\text{Write } 6{,}000{,}000 \text{ in scientific notation}
1

Find the coefficient

a = 6

Scientific notation is \displaystyle a \times 10^{n} with \displaystyle 1 \le a < 10. Put the decimal point just after the first non-zero digit (6); the zeros at the end only hold places, so they are left out.

2

Count the places the decimal point moves

  1. 6,000,000
  2. 600,000
  3. 60,000
  4. 6000
  5. 600
  6. 60
  7. 6

From \displaystyle 6{,}000{,}000 to \displaystyle 6 the decimal point moves 6 places to the left.

3

Choose the sign of the exponent

n = 6

The number is 10 or more, so the point moved left and the exponent is positive: each place left divides by 10, and \displaystyle 10^{6} multiplies it back.

4

Write it in scientific notation

6{,}000{,}000 = \textcolor{#0b5c56}{6 \times 10^{6}}

Check

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

Multiply the coefficient by the power of ten to get back the number.

The digits 6 at other powers of ten

Only the power changes when the decimal point moves – each place left is one more step of ten.

NumberScientific notationE-notation
6,0006 × 10³6E3
60,0006 × 10⁴6E4
600,0006 × 10⁵6E5
6,000,0006 × 10⁶6E6
60,000,0006 × 10⁷6E7
600,000,0006 × 10⁸6E8
6,000,000,0006 × 10⁹6E9

Other numbers × 10⁶

Try different values

Frequently asked questions

Is 60 × 10⁵ the same as 6 × 10⁶?

It has the same value, but it isn’t scientific notation: the number in front must be at least 1 and less than 10, and 60 is not. Move the point one more place and add 1 to the power: 6 × 10⁶.

Any other number – or multiplying, dividing, adding and subtracting in scientific notation – use the Scientific Notation Calculator.