Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.

Positive numbers are numbers greater than 0. Positive numbers can be written with or without a plus sign.

For example, 5 is the same as +5. Negative numbers are numbers less than 0.

Negative numbers must always be written with a negative sign.

For example, an integer which is 3 less than 0 is "-3".

The above explained stuff has been illustrated in the picture given below.

To identify integers and their opposite signs, let us consider the following example.

The elevation of a location describes its height above or below sea level, which has elevation 0. Elevations below sea level are represented by negative numbers, and elevations above sea level are represented by positive numbers.

The table shows the elevations of several locations in a state park.

Let us identify the integers on the number line given below to locate their elevations.

Based on the information given above, we can have the following points in locating their elevations.

1) "0" is the point on the number line which represents sea level.

2) Juniper Trail is closest to sea level. Because it is 3 ft below the sea level.

3) Little butte and Cradle creek are the two locations which are the same distance from sea level. Little butte is 5 ft above the sea level and Cradle creek is 5 ft below the sea level.

Two numbers are opposites if, on a number line, they are the same distance from 0 but on different sides of 0.

For example, 5 and -5 are opposites. 0 is its own opposite.

Integers are the set of all whole numbers and their opposites.

Positive and negative numbers can be used to represent real-world quantities.

For example, 3 can represent a temperature that is 3 °F above 0. -3 can represent a temperature that is 3 °F below 0.

Both 3 and -3 are 3 units from 0.

Daniel kept track of the weekly low temperature in his town for several weeks. The table shows the low temperature in °F for each week.

**Question 1 :**

Graph the temperature from Week 3 and its opposite on a number line. What do the numbers represent ?

**Step 1 :**

The value from Week 3 is -4.

Graph a point 4 units below 0.

**Step 2 :**

Graph the opposite of -4.

Graph a point 4 units above 0.

The opposite of -4 is 4.

-4 represents a temperature that is 4 °F below 0 and 4 represents a temperature that is 4 °F above 0.

**Question 2 :**

The value for Week 5 is the opposite of the opposite of the value from Week 1. What was the low temperature in Week 5 ?

**Step 1 :**

Graph the value from Week 1 on the number line.

The value from Week 1 is -1.

**Step 2 :**

Graph the opposite of -1.

The opposite of -1 is 1.

**Step 3 :**

Graph the opposite of 1.

The opposite of 1 is -1.

The opposite of the opposite of -1 is -1. The low temperature in Week 5 was -1 °F.

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

You can also visit the following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**