# Ordering and Comparing Integers

Integers are compared almost in the same way as whole numbers, but with addition of some rules.

**Steps for comparing integers**:

- If we
**compare numbers with different signs**, then negative number is less than positive. - If
**numbers are both positive**then this is the case when we compare whole numbers. - If
**numbers are both negative**then we compare numbers without signs. The bigger positive number, the smaller negative. For example, if we compare -3 and -5, then we compare 3 and 5 (numbers without signs). Since $$${3}<{5}$$$ then $$$-{3}>-{5}$$$.

**Example 1.** Compare 4567 and -12345.

Numbers are with different signs. Negative number is always less than positive. Therefore, $$${4567}>-{12345}$$$.

Next example.

**Example 2.** Compare -300 and 0.

0 is always bigger than any negative number, so $$$-{300}<{0}$$$.

Next example.

**Example 3.** Compare -12 and -234.

Compare numbers without signs: 12 and 234.

Since $$${12}<{234}$$$ then $$$-{12}>-{234}$$$.

Next example.

**Example 4.** Compare -234 and -123.

Compare numbers without signs: 234 and 123.

Since $$${234}>{123}$$$ then $$$-{234}<-{123}$$$.

Last example.

**Example 5.** Compare -2345 and -2346.

Compare numbers without signs: 2345 and 2346.

Since $$${2345}<{2346}$$$ then $$$-{2345}>-{2346}$$$.

Now, practice a bit.

**Exercise 1.** Compare -456 and 12.

**Answer**: $$$-{456}<{12}$$$. Hint: numbers are with different signs.

Next exercise.

**Exercise 2.** Compare 0 and 12.

**Answer**: $$${12}>{0}$$$. Hint: positive number is greater than 0.

Next exercise.

**Exercise 3.** Compare -45673 and -234.

**Answer**: $$$-{45673}<-{234}$$$.

Next exercise.

**Exercise 4.** Compare -3456 and -3500.

**Answer**: $$$-{3456}>-{3500}$$$.

Last exercise.

**Exercise 5.** Compare -86743 and -86743.

**Answer**: Numbers are equal, i.e. $$$-{86743}=-{86743}$$$.