Question

Is there a smallest decimal that is greater than the number 2? Explain your answer.

Answer 1

The smallest decimal greater than 2 is 2.00000001

Step-by-step explanation:

The smallest decimal that is greater than the number 2 is 2.00000001. This decimal is greater than 2 because it has a digit in the hundred-millionth place, which is greater than the digit in the tenths place of 2. To determine the smallest decimal that is greater than a given number, you need to find the smallest possible decimal that has a higher value in the first non-zero digit place compared to the given number.

Answer 2

Technically, yes. It's called epsilon, which is defined as an infinitely small number. So

2 + epsilon is the smallest number greater than 2. But for practical purposes no there isn't.

00

Step-by-step explanation:Not without limits. You can always move the .1 one place further from the interring. For example,

2.1>2.01

and

2.01>2.001

So, unless there are a limited number of decimal spaces, you can continually add an infinite amount of zeros behind the decimal point, followed by a one.

If you use two or three decimal spaces as a standard in your class, then the smallest decimal greater than 2 would be 2.01 or 2.001, respectively.