1. Finding Opposites and Absolute
Value 2.1
Maduwuba Ugochukwu
G-Hour
January 7, 2013

2. The Real Number Line and Opposites
• Two points that are the same
distance from 0 or the origin
but on opposite sides of the
origin are opposites.
• The numbers used
throughout the world are
real numbers for they can be
pictured as points on a
horizontal line called a real
Remember that all numbers that number line. The point
can be shown on a number line labeled 0 is the origin.
are real numbers. So decimals, Points to the left of zero
fractions, ratios, and whole represent negative numbers
and points to the right of
numbers are all real numbers and zero represent positive
can be shown on a real number numbers.
line.

3. Numbers to the right of zero are positive numbers. Basically all real numbers can be
shown on a real number line for a real number line continues on forever just like any
line so, it never stops. Extend the line to the right to include positive numbers.

4. Finding the opposite of a Number
• The numbers -3 and 3 are opposites because
each is 3 units from the origin. Any negative
number can be referred to as negative and the
number. So the expression negative and a
number three can be stated as “ negative 3”.
You can also call it the opposite of 3.

5. The Absolute Value
• The absolute value of a real number is the
distance between the origin and the point
representing the real number.
• The symbol of the|x|represents the absolute
value of a number x.
• If x is a positive number, then |x| = x.
• |8| = 8
• If x is zero, then |x| = 0.
• |0| = 0
• If x is a negative number the |-x| = x.
• |-8| = 8

6. The Absolute
Value • Lets try some examples!!!
continued 1. |8.5| = 8.5
The absolute value of a number If x is positive, then |x| = x.
with a negative in front of the
absolute value symbol requires 8.5 is 8.5 units from zero the origin.
certain steps to get the answer.
2. |-5/8| = -(-5/8) = 5/8
-|x| when x is 9
1st- plug in the number. If x is negative, then |x| = -x.
- |9|
2nd- take the absolute value of
-5/8 is 5/8 units from the origin.
the number inside the absolute 3. -|-39| = -(39)
value symbol. Forget about the
negative for now. The absolute value of -39 is 39.
Nine is nine units away from
the origin so, the absolute = -39
value of 9 is 9.
3rd-Then take the absolute
Use the definition of opposites.
value and then do the opposite The absolute value was 39 and the
of it. The opposite of 9 is
negative 9. There is your opposite of 39 is -39.
answer!.

7. Absolute Value and Opposites
• The opposite of 5 is -5. • The symbol for absolute value
• The opposite of -2 is 2. is two vertical lines (bars)
• *all you need to do in order to around the number.
get the opposite of a number • * Absolute value is the
is to reverse the sign of an distance from 0 on a number
integer. Integers are numbers line…
that can be written without a • DISTANCE IS POSITIVE!!
fractional or decimal • Opposites and absolute value
component, and fall within the are different.
set {..., -3,−2, −1, 0, 1, 2, 3, ...}. • Opposite means reverse the
The word opposite can be sign
replaced by a negative sign.
The opposite of -4. –(-4) *Two • Absolute value means remove
negatives make a positive. the sign
• 4 is your answer. • * Did you know absolute value
cannot be negative

8. Now You’ve Got it!!!
• Opposites
• Absolute Value • When opposite numbers
are added, it gives zero.
• Now you have got • To get the opposite of a
the hang of Absolute number, change the sign.
value. Absolute • The absolute values of
value is distance opposite numbers are the
away from zero. If same.
• The opposite numbers are
you follow the rules equidistant from 0 on a
in this presentation number line.
then you will have • + 25 and – 25 are opposite
success when finding numbers.
absolute value. • - 8 is the opposite number
of + 8.

9. Thank You