Question

Write each number in scientifie notation and then divide. . 0.0000000000012 /0.0004

Answer 1

The numbers 0.0000000000012 and 0.0004 in scientific notation are 1.2 × 10^-12 and 4 × 10^-3 respectively. Dividing these gives us 0.3 × 10^-9 as the final result.

Step-by-step explanation:

To express each number in scientific notation and then divide, we follow a systematic process. Let's break down the number 0.0000000000012 first. To convert it into scientific notation, we move the decimal point 12 places to the right, which gives us 1.2 × 10^-12. The number 0.0004 requires moving the decimal point 4 places to the right to become 4 × 10^-3.

Now, let's perform the division:

1. 
   Divide the coefficients (1.2 by 4), which gives 0.3.
2. 
   Subtract the exponents of 10 ( -12 - (-3) ), which equals -9.

Combining these results, we get 0.3 × 10^-9, which is the final answer in scientific notation.