Question

Select True or False for each statement.

Answer 1

Answer:

1. True

2. False

3. True

4. False

5. True

Step-by-step explanation:

1. For a real number a, a + 0 = a.

This is true, any number plus zero is that number.

2. For a real number a, a + (-a) = 1.

This is false.  Adding a negative number is the same as subtracting that number. So a + (-a) = a - a = 0

3. For a real numbers a and b la-bl = |b-al.

This is true.  Absolute value represents the distance between two numbers.  This number can never be negative, therefore la-bl = |b-al.

4. For real numbers a, b, and c, a +(bº c) = (a + b)(a + c).

False.  a + (b * c) = a + bc.

If you foil (a + b)(a + c) you will see its equal to a²+ab+ac+bc, which is definitely  different than a + (b*c)

5. For rational numbers a and b when b# o, is always a rational number.

True, a rational number is one that can be written as a fraction with two integers.  The quotient of two rational numbers can always be written as a fraction with integers.

Answer 2

1. True
2. False
3. True
4.true