Question

Consider the following statement: The sum of two numbers is always greater than the larger number. Which of the following is true?

A The statement is true because adding is always the act of increasing the size of a quantity; therefore, the new size is always bigger.

B The statement is true because the product of two numbers is always greater than the larger number, and multiplication is just repeated addition.

C The statement is false because any number times zero is zero, with is not larger than the number.

D The statement is false because of the counterexample:

Answer 1

The answer is D because when you are adding a negative number the sum will be less the the largest number even though when adding a positive number the sum could end up being larger

Answer 2

C because you are multiplying. Since you can do zero multiplied zero to get zero, therefore, zero has not changed as the bigger number.