Answer true or false to each statement. Explain your answer.
a) The sum of an integer and its opposite is always 0.
b) When you subtract two positive integers, their difference is always a positive integer.
c) The product of a positive integer and a negative integer is always positive.
d) The product of an integer and its opposite is always 0.
(a) TRUE The opposite of a number is basically that number's negative. For example, 2 + (-2) = 0.
(b) FALSE Not always! It depends if the first number is greater or less than the second number. For example, 2 - 3 = -1
(c) FALSE Actually, It's the quite opposite! When a positive integer is multiplied to a negative integer, the product is ALWAYS negative. For example. (-2)*3=-6
(d) FALSE NOOOOOOOOOOOO. Just because the sum of a postive and its oppositie integer is 0, it doesn't mean the product is 0. Remember, the only way to get a product to equal 0 is by multiplying by 0!