Lesson 8I May Be Irrational, But You’re ImaginarySolidify Understanding

Classify each of the numbers represented below according to the sets to which they belong. If a number fits in more than one set, then select all that apply.

1.

whole numbers

integers

rational numbers

D.

irrational numbers

real numbers

2.

whole numbers

integers

rational numbers

D.

irrational numbers

real numbers

3.

whole numbers

integers

rational numbers

D.

irrational numbers

real numbers

4.

whole numbers

integers

rational numbers

D.

irrational numbers

real numbers

5.

whole numbers

integers

rational numbers

D.

irrational numbers

real numbers

6.

whole numbers

integers

rational numbers

D.

irrational numbers

real numbers

7.

whole numbers

integers

rational numbers

D.

irrational numbers

real numbers

8.

whole numbers

integers

rational numbers

D.

irrational numbers

real numbers

9.

whole numbers

integers

rational numbers

D.

irrational numbers

real numbers

Set

Perform the indicated operations.

Multiply.

25.

In problem 23, you multiplied two complex numbers that were conjugates. When you multiply two conjugates, will your answer become a real number? Justify your answer.

Solve.