# At a Glance - Things to Do with Real Numbers

## Compare Them

When comparing real numbers, it can help to think of the number line. Ah, how fondly we remember it. Our favorite line of all the lines.

The numbers on a number line get bigger as we go further right on the number line, and smaller as we go further left.

All positive numbers are bigger than zero, and all negative numbers are less than zero. Doesn't mean they can't be friends.

#### Example 1

 Which is smaller: -200 or 5?

#### Example 2

 Which is bigger: the absolute value of -200, or 5?

#### Example 3

 Compare 0 and n in an inequality if n is any positive number.

#### Exercise 1

Fill in the blank with <, >, or =.

2 __ 3

#### Exercise 2

Fill in the blank with <, >, or =.

|-4.5| __ -5

#### Exercise 3

Fill in the blank with <, >, or =.

-3 __ -2

#### Exercise 4

Fill in the blank with <, >, or =.

|-17.2| __ 17.2

#### Exercise 5

Fill in the blank with <, >, or =.

-(-π) __ π

#### Exercise 6

Fill in the blank with <, >, or =.

-4 __ -89

#### Exercise 7

Suppose n is a negative number and p is a positive number. Fill in the blank with <, >, or =.

n __ p

#### Exercise 8

Suppose n is a negative number. Fill in the blank with <, >, or =.

n __ 0

#### Exercise 9

Suppose p is a positive number. Fill in the blank with <, >, or =.

p __ 0

#### Exercise 10

Suppose p is a positive number. Fill in the blank with <, >, or =.

|p| __ p

#### Exercise 11

Suppose n is a negative number. Fill in the blank with <, >, or =.

|n| __ n