which one is greater 0.05 or 0.006?
The Correct Answer and Explanation is:
The correct answer is 0.05 is greater than 0.006.
To understand why 0.05 is greater than 0.006, it is helpful to think about place value and how decimals are structured. A decimal number is a way to represent fractions using powers of ten. The digits to the right of the decimal point represent parts of one whole, with each place to the right being ten times smaller than the place before it.
Let us break down each number.
The number 0.05 means five hundredths. This is because the five is in the hundredths place. If we write this as a fraction, it is equal to 5 divided by 100 or 5/100. This simplifies to 1/20.
The number 0.006 means six thousandths. This is because the six is in the thousandths place. Written as a fraction, it is equal to 6 divided by 1000 or 6/1000. This simplifies to 3/500.
To compare 0.05 and 0.006, we can also convert both numbers to have the same number of decimal places. For example, we can write 0.05 as 0.050. Adding a zero at the end of a decimal does not change its value. Now we compare 0.050 and 0.006.
Looking at each digit from left to right after the decimal point, the first digit is 0 in both numbers. The second digit is 5 in 0.050 and 0 in 0.006. Since 5 is greater than 0, 0.050 is greater than 0.006.
You can also think of it in terms of money. If you have 0.05 dollars, you have five cents. If you have 0.006 dollars, you have less than one cent. Clearly, five cents is more than a fraction of a cent.
Therefore, 0.05 is greater than 0.006.
