If A is a number then -(-A) is =

A

IMPORTANT: When Subtracting 2 Numbers.

If A, and B are numbers, then a +(-b) =

a - b.

Inequality

A statement between two quantities usually separated by a sign of inequality.

Signifying less than, greater than, or not equal to.

What does it mean to say the sum of a number and its opposite is 0?

If A Is a number, then

A +(-A) = 0

-A + A = 0

ADDING two integers with DIFFERENT signs

Subtract the smaller absolute value from the Larger absolute value.

Use the Sign of the number w/ the largest Absolute value for the answer.

The Product of an ODD number of _______ is an negative result but, an EVEN number of _________ is a positive number.

Negatives (-) /

Negatives (-)

Integers

A whole number (Positive or Negative)

-1,0,1

Additive Inverse

The additive inverse of a number is the opposite of that number,

that is,

the additive inverse of a number x is -x.

The sum of a number and its additive inverse is always zero, that is, x + (-x) = 0.

Absolute value

The magnitude of a number regardless of its sign. Hence, the absolute value of a number “X” is always positive or zero. It is written as |x|.

When the number “X” is represented on a number line, its absolute value is the distance from the origin (zero) to that number.

-l-x l = x

|-x| = x

- |x| = -x

|0| = 0

ADDING Integers with the a SAME signs

Add Their two absolute Values & Use their common sign.

Is 0 a Positive or Negative Number

Neither

A way of grouping nnumbers into categories based on their structure

Number Classifications

non-negative counting numbers

1, 2, 3, 4, … . Some exclude 0 (zero) from the set

Natural Numbers

Both Positive and negative Natural Numbers(Whole Numbers)

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

Integers

Integers that include both fractions and decimals

The ratio or quotient of an integer

and

another NON-ZERO integer

-100, -20¼, -1.5, 0, 1, 1.5, 1½ 2¾, 1.75

Rational Number

Numbers that dont include

fractions, or integers

and can have a decimal value that continues forever WITHOUT a pattern

these are numbers which cannot be represented as fractions.

√2, √3, 3.141592653…(π)

(non rational)

Irrational numbers

Both Rational and Irrational numbers.Every Number on the number line

-100, -20¼, -1.5, 0, 1, 1.5, 1½ 2¾, 1.75, √2, √3,3.141592653…(π)

Real Numbers

A number which square is a negative real number.

-5i, 3i, 7.5i

Imaginary Number

The Combonation of both Real and Imaginary numbers.

7 + 2i

Complex Numbers

Natral Numbers & 0

0,1, 2, 3, 4, …

Whole Numbers