Final answer:
To divide 0.007 by 14, convert the division problem to 700 ÷ 1400 by shifting decimals two places to the right. Perform the division to get 0.5, then convert back by shifting the decimal of the answer two places to the left, giving the final answer 0.0005.
Step-by-step explanation:
To divide 0.007 by 14, we first bring the divisor to a whole number by shifting the decimal of both the dividend and the divisor two places to right. This transforms our problem to 700 ÷ 1400.
Now, we can perform simple division: 700 ÷ 1400 equals 0.5. However, we must address our earlier transformation by shifting the decimal place of our answer two places to the left.
Our final answer is, therefore, 0.0005.
Remember, when dividing by powers of 10, you move the decimal to the left by the number of zeros in the power of ten. In the case of initial division problem, we first converted it to a simpler form (700 ÷ 1400) and then moved our decimal place two places to the left at the end to adjust for our initial manipulation.
Learn more about Division of decimals