700000 in Scientific Notation

700000 in scientific notation

700{,}000 = 7 \times 10^{5}

700000 in scientific notation is 7 × 10⁵ – the decimal point moves 5 places to the left, so the power of ten is 5.

  • E-notation: 7E+5 (calculators, Excel, programming)
  • Engineering notation: 700 × 10³ (the power is a multiple of 3)
  • Said aloud: seven times ten to the power of five
  • Significant figures: 1 to 6 (the zeros at the end may or may not count)
  • Order of magnitude: \displaystyle 10^{5}
  • In the Indian system: 7,00,000 – seven lakh
  • In words: seven hundred thousand

Step-by-step solution

The problem

\text{Write } 700{,}000 \text{ in scientific notation}
1

Find the coefficient

a = 7

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

2

Count the places the decimal point moves

  1. 700,000
  2. 70,000
  3. 7000
  4. 700
  5. 70
  6. 7

From \displaystyle 700{,}000 to \displaystyle 7 the decimal point moves 5 places to the left.

3

Choose the sign of the exponent

n = 5

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^{5} multiplies it back.

4

Write it in scientific notation

700{,}000 = \textcolor{#0b5c56}{7 \times 10^{5}}

Check

7 \times 10^{5} = 7 \times 100{,}000 = 700{,}000 \;\checkmark

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

The digits 7 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
7,0007 × 10³7E3
70,0007 × 10⁴7E4
700,0007 × 10⁵7E5
7,000,0007 × 10⁶7E6
70,000,0007 × 10⁷7E7
700,000,0007 × 10⁸7E8
7,000,000,0007 × 10⁹7E9

Other numbers × 10⁵

Try different values

Frequently asked questions

Is 70 × 10⁴ the same as 7 × 10⁵?

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 70 is not. Move the point one more place and add 1 to the power: 7 × 10⁵.

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