What are the steps to solve this problem?

0.27 ÷ 0.9

3

Step-by-step 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

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