7000 in Scientific Notation

7000 in scientific notation

7000 = 7 \times 10^{3}

7000 in scientific notation is 7 × 10³ – the decimal point moves 3 places to the left, so the power of ten is 3.

  • E-notation: 7E+3 (calculators, Excel, programming)
  • Engineering notation: 7 × 10³ (the power is a multiple of 3)
  • Said aloud: seven times ten to the power of three
  • Significant figures: 1 to 4 (the zeros at the end may or may not count)
  • Order of magnitude: \displaystyle 10^{3}
  • In words: seven thousand

Step-by-step solution

The problem

\text{Write } 7000 \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. 7000
  2. 700
  3. 70
  4. 7

From \displaystyle 7000 to \displaystyle 7 the decimal point moves 3 places to the left.

3

Choose the sign of the exponent

n = 3

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^{3} multiplies it back.

4

Write it in scientific notation

7000 = \textcolor{#0b5c56}{7 \times 10^{3}}

Check

7 \times 10^{3} = 7 \times 1000 = 7000 \;\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 × 10³

Try different values

Frequently asked questions

Is 70 × 10² the same as 7 × 10³?

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 × 10³.

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