Final answer:
To convert the coefficient 0.0045 into a number between 1 and 10, we must multiply it by 10³, which equates to multiplying by 1000. This converts 0.0045 into 4.5, properly formatting it in scientific notation. Option D is the correct answer.
Step-by-step explanation:
To find what we should multiply the coefficient 0.0045 by to turn it into a number between 1 and 10, we need to understand the basics of powers of 10 and scientific notation. Moving the decimal place to the right makes the number larger by a factor of 10 each time, while moving it to the left makes it smaller. Therefore, if we start with 0.0045 and want a number between 1 and 10, we divide by 0.001 or, equivalently, multiply by 1000, which is 10³. For instance:
0.0045 × 10³ = 4.5,
Now 4.5 is a number between 1 and 10, which is what we want for a proper scientific notation. Therefore, the correct option is to multiply by 10³ (option d).