Answer:
3
Explanation:
In order to solve the problem 0.000027 ÷ 0.000009, the following steps must be followed for proper understanding.
Firstly, we will convert each decimal into its standard form.
For 0.000027 in standard form= 2.7×10^-5(note that the decimal point has been shifted 5times to the front hence the reason for multiplying the resulting value by 10^-5).
Similarly, 0.000009 in standard form is 9×10^-6
0.000027 ÷ 0.000009 = 2.7×10^-5/9×10^-6
In indices, the division of the powers of 10 will become subtraction, therefore;
2.7×10^-5/9×10^-6
= 2.7/9 × 10^(-5-(-6))
= 0.3×10^(-5-(-6))
= 0.3×10^-5+6
= 0.3×10^1
= 0.3×10
= 3