200000000 in Scientific Notation

200000000 in scientific notation

200{,}000{,}000 = 2 \times 10^{8}

200000000 in scientific notation is 2 × 10⁸ – the decimal point moves 8 places to the left, so the power of ten is 8.

  • E-notation: 2E+8 (calculators, Excel, programming)
  • Engineering notation: 200 × 10⁶ (the power is a multiple of 3)
  • Said aloud: two times ten to the power of eight
  • Significant figures: 1 to 9 (the zeros at the end may or may not count)
  • Order of magnitude: \displaystyle 10^{8}
  • In the Indian system: 20,00,00,000 – twenty crore
  • In words: two hundred million

Step-by-step solution

The problem

\text{Write } 200{,}000{,}000 \text{ in scientific notation}
1

Find the coefficient

a = 2

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 (2); the zeros at the end only hold places, so they are left out.

2

Count the places the decimal point moves

  1. 200,000,000
  2. 20,000,000
  3. 2,000,000
  4. 200,000
  5. 20,000
  6. 2000
  7. 200
  8. 20
  9. 2

From \displaystyle 200{,}000{,}000 to \displaystyle 2 the decimal point moves 8 places to the left.

3

Choose the sign of the exponent

n = 8

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^{8} multiplies it back.

4

Write it in scientific notation

200{,}000{,}000 = \textcolor{#0b5c56}{2 \times 10^{8}}

Check

2 \times 10^{8} = 2 \times 100{,}000{,}000 = 200{,}000{,}000 \;\checkmark

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

The digits 2 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
2,0002 × 10³2E3
20,0002 × 10⁴2E4
200,0002 × 10⁵2E5
2,000,0002 × 10⁶2E6
20,000,0002 × 10⁷2E7
200,000,0002 × 10⁸2E8
2,000,000,0002 × 10⁹2E9

Other numbers × 10⁸

Try different values

Frequently asked questions

Is 20 × 10⁷ the same as 2 × 10⁸?

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 20 is not. Move the point one more place and add 1 to the power: 2 × 10⁸.

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