Final Answer:
The number 0.01 is bigger than 0.005, so the correct answer is (Option B) 0.01.
Step-by-step explanation:
To compare these two decimal numbers, we examine their place values. In 0.01, the '1' is in the hundredths place, while in 0.005, the '5' is in the thousandths place. Comparing the corresponding place values, we find that 0.01 has a larger place value than 0.005. Mathematically, this can be expressed as 0.01 > 0.005, indicating that 0.01 is indeed the larger number (Option B).
Breaking down the numbers further, we can express them in fractional form. The decimal 0.01 can be written as 1/100, representing 1 hundredth, whereas 0.005 is 5/1000, representing 5 thousandths. Comparing the fractions, it's evident that 1/100 is greater than 5/1000, reinforcing the conclusion that 0.01 is the larger number.
Understanding the relationship between decimal place values and their fractional equivalents is fundamental in comparing and ordering decimal numbers. In real-world applications, this knowledge is crucial for making informed decisions, particularly when dealing with measurements, quantities, or financial values. The ability to interpret and compare decimals contributes to mathematical literacy and facilitates accurate numerical analysis.