70000 in Scientific Notation

70000 in scientific notation

70{,}000 = 7 \times 10^{4}

70000 in scientific notation is 7 × 10⁴ – the decimal point moves 4 places to the left, so the power of ten is 4.

  • E-notation: 7E+4 (calculators, Excel, programming)
  • Engineering notation: 70 × 10³ (the power is a multiple of 3)
  • Said aloud: seven times ten to the power of four
  • Significant figures: 1 to 5 (the zeros at the end may or may not count)
  • Order of magnitude: \displaystyle 10^{4}
  • In words: seventy thousand

Step-by-step solution

The problem

\text{Write } 70{,}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. 70,000
  2. 7000
  3. 700
  4. 70
  5. 7

From \displaystyle 70{,}000 to \displaystyle 7 the decimal point moves 4 places to the left.

3

Choose the sign of the exponent

n = 4

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^{4} multiplies it back.

4

Write it in scientific notation

70{,}000 = \textcolor{#0b5c56}{7 \times 10^{4}}

Check

7 \times 10^{4} = 7 \times 10{,}000 = 70{,}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 × 10⁴

Try different values

Frequently asked questions

Is 70 × 10³ the same as 7 × 10⁴?

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 × 10⁴.

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