Question

Jim says that the output of the floor function is the number before the decimal point in the input. For what domain is Jim’s statement correct?

Answer 1

Jim’s statement is correct for all numbers greater than or equal to 0, and negative integers. It does not work for negative non-integer numbers. For example, the floor of –3.5 is –4, where –4 is not equal to –3, the number before the decimal point.

Step-by-step explanation:

Sample response

Answer 2

Jim's statement is correct for positive numbers

Step-by-step explanation:

Flooring means that we will take the number before the decimal point. This number should be the whole number that precedes the given decimal.

Now, let's check:

1- positive numbers:

Take 3.5 for example:

Taking the number directly before the point ......> we would have 3

The whole number that directly precedes 3.5 is .......> 3

Since they are both the same, therefore, Jim's statement is true

2- negative numbers:

Take -3.5 for example:

Taking the number directly before the point ......> we would have -3

The whole number that directly precedes 3.5 is .......> -4

Since they are both not the same, therefore, Jim's statement is false

Hope this helps :)