9000000000 in Scientific Notation

9000000000 in scientific notation

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

9000000000 in scientific notation is 9 × 10⁹ – the decimal point moves 9 places to the left, so the power of ten is 9.

  • E-notation: 9E+9 (calculators, Excel, programming)
  • Engineering notation: 9 × 10⁹ (the power is a multiple of 3)
  • Said aloud: nine times ten to the power of nine
  • Significant figures: 1 to 10 (the zeros at the end may or may not count)
  • Order of magnitude: \displaystyle 10^{9}
  • In the Indian system: 9,00,00,00,000 – nine hundred crore
  • In words: nine billion

Step-by-step solution

The problem

\text{Write } 9{,}000{,}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. 9,000,000,000
  2. 900,000,000
  3. 90,000,000
  4. 9,000,000
  5. 900,000
  6. 90,000
  7. 9000
  8. 900
  9. 90
  10. 9

From \displaystyle 9{,}000{,}000{,}000 to \displaystyle 9 the decimal point moves 9 places to the left.

3

Choose the sign of the exponent

n = 9

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^{9} multiplies it back.

4

Write it in scientific notation

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

Check

9 \times 10^{9} = 9 \times 1{,}000{,}000{,}000 = 9{,}000{,}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 × 10⁹

Try different values

Frequently asked questions

Is 90 × 10⁸ the same as 9 × 10⁹?

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 × 10⁹.

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