900000000 in Scientific Notation

900000000 in scientific notation

900{,}000{,}000 = 9 \times 10^{8}

900000000 in scientific notation is 9 × 10⁸ – the decimal point moves 8 places to the left, so the power of ten is 8.

  • E-notation: 9E+8 (calculators, Excel, programming)
  • Engineering notation: 900 × 10⁶ (the power is a multiple of 3)
  • Said aloud: nine 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: 90,00,00,000 – ninety crore
  • In words: nine hundred million

Step-by-step solution

The problem

\text{Write } 900{,}000{,}000 \text{ in scientific notation}
1

Find the coefficient

a = 9

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

2

Count the places the decimal point moves

  1. 900,000,000
  2. 90,000,000
  3. 9,000,000
  4. 900,000
  5. 90,000
  6. 9000
  7. 900
  8. 90
  9. 9

From \displaystyle 900{,}000{,}000 to \displaystyle 9 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

900{,}000{,}000 = \textcolor{#0b5c56}{9 \times 10^{8}}

Check

9 \times 10^{8} = 9 \times 100{,}000{,}000 = 900{,}000{,}000 \;\checkmark

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

The digits 9 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
9,0009 × 10³9E3
90,0009 × 10⁴9E4
900,0009 × 10⁵9E5
9,000,0009 × 10⁶9E6
90,000,0009 × 10⁷9E7
900,000,0009 × 10⁸9E8
9,000,000,0009 × 10⁹9E9

Other numbers × 10⁸

Try different values

Frequently asked questions

Is 90 × 10⁷ the same as 9 × 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 90 is not. Move the point one more place and add 1 to the power: 9 × 10⁸.

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