Lesson 5 I May Be Irrational, But You’re Imaginary Solidify Understanding

Ready

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.

A.

whole numbers

B.

integers

C.

rational numbers

D.

irrational numbers

E.

real numbers

2.

A.

whole numbers

B.

integers

C.

rational numbers

D.

irrational numbers

E.

real numbers

3.

A.

whole numbers

B.

integers

C.

rational numbers

D.

irrational numbers

E.

real numbers

4.

A.

whole numbers

B.

integers

C.

rational numbers

D.

irrational numbers

E.

real numbers

5.

A.

whole numbers

B.

integers

C.

rational numbers

D.

irrational numbers

E.

real numbers

6.

A.

whole numbers

B.

integers

C.

rational numbers

D.

irrational numbers

E.

real numbers

7.

A.

whole numbers

B.

integers

C.

rational numbers

D.

irrational numbers

E.

real numbers

8.

A.

whole numbers

B.

integers

C.

rational numbers

D.

irrational numbers

E.

real numbers

9.

A.

whole numbers

B.

integers

C.

rational numbers

D.

irrational numbers

E.

real numbers

Set

Perform the indicated operations.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

Multiply.

20.

21.

22.

23.

24.

In problem 19, you added two complex numbers that were conjugates. When you add two conjugates, will your answer become a real number? Justify your answer.

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.

Go

Solve.

26.

27.

28.

29.

30.

31.