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# Integers

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## Sophie Hare

on 3 September 2013

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#### Transcript of Integers

But when you multiply or divide w/ a negative integer like 4(-2) you would repeatedly add -2 four times, causing the product to be a negative number.
Integers
Sophie, Kate, Arielle, Josie
Arithmetic w/ Integers
This section will cover the basics of adding, subtracting, multiplying, and dividing
Inequalities
&
Absolute Value

Integers are whole numbers; no decimals or fractions allowed! Integers can be both negative as well as positive. You would be very lost in the modern world with out integers.
"Integers are simply used to count!" -Nucci.

What does inequality mean?
Inequality is the process of comparing two integers

How do I compare integers?
You use inequality symbols
What are inequality symbols?
How to use inequality symbols
Example: 3<7
7 is the greater number, so the opening of the
inequality symbol, or "gator mouth" is eating the 7.
Example: 3>2
3 is the greater number, so "gator mouth" is eating
the 3.
Part 1
How to use inequality symbols
Part 2
Example:3=3
This shows that two numbers are equal
Example: 3
x
This shows that x can either be either less than
or equal to 3. The bottom line is half of an
equal sign, signifying that x could be equal to 3
Example 3
x
This shows that x can either be either less than
or equal to 3.
What is Absolute Value?
The absolute value of a number is its distance from
the origin (0) on a number line. Absolute value of a
number (for example a) is written as [a].
Inequality symbols are used to compare numbers (integers)
according to their order on the number line. A number
can be, greater than, greater than or equal to, less than,
less than or equal to, or equal to another number.
(this is shown by <, ,>, ,=
The distance from the origin to 9 is 9, so [9]=9
Question: How do I know the sign
of the answer when I am multiplying?

Basic Problem: 3*5=? since 3*5 means
you repeatedly add 5, 3 times, you will
only end up with a greater positive
value.
So: 5+5+5=15 = 3*5=15
Example: 3+-6=-3 or
3-6=-3
On Tuesday you find \$3 and on
Wednesday you lose \$6. Over the whole
week you initially lost \$3, or -\$3
Graphing Inequalities on a Number Line
To graph an inequality one first has to recognize if the equation has either a < or >, or . If the inequality has a < or > (lets just say x<3) draw an open circle over the 3 on the number line, and spout an arrow from it going to the left signifying that the x is smaller and therefore can be any of the smaller numbers after 3. If the inequality has a or (x 3) draw a closed circle over the 3 and spout an arrow going to the right showing that x is either greater than or equal to 3.
Another way to do this
problem is to do it on
a number line:
3-6=-3
Division and multiplication share the same sign rules.
- * - = + + * + = +
- * + = _ + * - = -
Just divide your problem and determine the sign based on the
multiplication rules!
Full transcript