**Comparing positive and negative integers :**

Every one can easily understand comparing two positive numbers.

For example, when we compare 7 and 9, we can say that 9 is greater than 7.

Because, in comparing two positive numbers, greater number is always is greater and smaller number is always smaller.

But, if we take a number with negative sign, it becomes smaller and smaller, when it gets increased with negative sign.

For example,

-9 is less than -7

-100 is less than -1

-0.25 is less than 0

-8 is less than 5

We use number line to compare positive and negative integers.

That is, if we want to compare positive and negative integers, first we have to locate the integers on the number line and mark them.

The integer which comes to the right of the other integer is greater. The integer which comes to the left of the other integer is smaller.

**Example 1 : **

Compare the integers -4 and 4

**Solution : **

Let us locate the two integers -4 and 4 on a number line and mark them.

Here, the positive integer 4 comes to the right of -4.

Therefore "4" is greater than "-4"

And -4 comes to the left of 4.

Therefore "-4" is smaller than "4"

**Example 2 :**

Compare the integers -1 and 1

**Solution : **

Let us locate the two integers -1 and 1 on a number line and mark them.

Here, the positive integer 1 comes to the right of -1.

Therefore "1" is greater than "-1"

And -1 comes to the left of 1.

Therefore "-1" is smaller than "1"

**Example 3 :**

Compare the integers given below and order them from least to greatest.

1, -5, 5, 4, 0, -2, -1, 3

**Solution : **

Let us locate the integers 1, -5, 5, 4, 0, -2, -1, 3 on a number line and mark them.

From the above number line, write the integers from left to right to list them in order from least to greatest.

Thus, we get

**-5, -2, -1, 0, 1, 3, 4, 5**

**Example 4 :**

John recorded the following golf scores during his first week at a golf academy. Negative numbers represent scores below par, a standard score. In golf, a lower score beats a higher score.

Graph John’s scores on the number line, and then list the numbers in order from least to greatest.

**Solution :**

**Step 1 :**

Graph the scores on the number line.

**Step 2 :**

Read from left to right to list the scores in order from least to greatest.

The scores listed from least to greatest are

** –5, –3, –2, –1, 0, 3, 4**

After having gone through the stuff given above, we hope that the students would have understood "Comparing positive and negative integers".

Apart from the stuff given above, if you want to know more about "Comparing positive and negative integers", please click here

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

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM 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**

**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**