# ABSOLUTE VALUE AND OPPOSITE INTEGERS

Absolute Value :

Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies.

The absolute value of a number is never negative. The absolute value of -5 is 5.

Opposite Integers :

The number which are having same numerical value but opposite signs are know as opposite integers. For example opposite integer of -5 is +5. That is they have same value but different signs.

When we add a number with its opposite integer, we will get zero.

## Examples

Example 1 :

Find the absolute value of |-4|

Solution :

When we look at the number line, -4 is 4 units from 0.

Since -4 is 4 units from 0, we say that the absolute value of "-4" is 4.

Hence, the value of |-4|  =  4.

Example 2 :

Find the absolute value of |8|

Solution :

When we look at the number line, 8 is 8 units from 0.

Since 8 is 8 units from 0, we say that the absolute value of "8" is 8.

Hence, the value of |8|  =  8.

Example 3 :

Find the absolute value of |-7|

Solution :

When we look at the number line, -7 is 7 units from 0.

Since -7 is 7 units from 0, we say that the absolute value of "-7" is 7.

Hence, the value of |-7|  =  7.

Example 4 :

Find the absolute value of |-1|

Solution :

When we look at the number line, -1 is 1 units from 0.

Since -1 is 1 unit from 0, we say that the absolute value of "-1" is 1.

Hence, the value of |-1|  =  1.

Example 5 :

Find the opposite integer of -46

Solution :

Opposite integer means, the numerical value must be same, but different in signs.

Hence, the opposite integer of -46 is 46.

Example 6 :

Find the opposite integer of 6

Solution :

Opposite integer means, the numerical value will be same, but different in signs.

Hence, the opposite integer of 6 is -6.

Example 7 :

Jane completes several example problems that ask her to the find the opposite of the opposite of a number, and for each example, the result is a positive number. Jane concludes that when she takes the opposite of the opposite of any number, the result will always be positive. Is Jane correct? Why or why not?

Solution :

She is not correct. The opposite of the opposite of a number is the number itself. So, if Jane starts with a negative number, she will end with a negative number. Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

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

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

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

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

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

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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

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

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6 