Final answer:
Nine thousandths as a decimal is expressed as 0.009. This fundamental concept of decimals is linked to place value and moves beyond the representation of number in standard form to its expression in scientific notation as well.
Step-by-step explanation:
To express nine thousandths as a decimal in standard form, start by knowing that thousandths means we want three decimal places to the right of the decimal point. Therefore, nine thousandths is written as 0.009 in decimal form. It is essential to understand how decimals and place values work to accurately represent numbers in standard form.
To compare this process with scientific notation: changing the number 965 into proper scientific notation involves moving the decimal to make it 9.65 and then recording this change by using a power of ten.
Thus, it becomes 9.65 × 10², which signifies that we've moved the decimal two places to the left. Likewise, dividing a number like 1.9436 by powers of ten, we get 0.19436 when dividing by 10, and 0.019436 when dividing by 100, exemplifying the concept of moving the decimal point to express numbers in different forms.
The complete question is: Express nine thousandths as a decimal in standard form. is: