Convert this number given in standard form into scientific notation.

0.0000069

What is the value in scientific notation?
0.69 × 10-5
6.9 × 10-6
6.9 × 106
69.0 × 107

1 answer

To convert the number 0.0000069 into scientific notation, we want to express it in the form \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.

  1. Move the decimal point in 0.0000069 to the right until it is after the first non-zero digit, which is 6.9.

    • This gives us 6.9.
  2. Count how many places you moved the decimal point. In this case, you moved it 6 places to the right.

  3. Since we moved the decimal to the right, \( n \) will be negative. Therefore:

    • \( n = -6 \).

So, we can write:

\[ 0.0000069 = 6.9 \times 10^{-6} \]

Based on the options provided, the value in scientific notation is:

6.9 × 10^-6.