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Algebra: Exploring real numbers
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Terms in this set (37)
Natural numbers are
the counting numbers 1,2,3,...
Whole numbers are
the NON negative integers 0,1,2,3,...
Another way to define whole numbers is
the counting numbers plus zero!!
Integers are
whole numbers and their opposite ...-2,-1,0,1,2,...
Remember that integers include...
ZERO!!!!
Rational numbers are
Real numbers that can be written in the form a/b (fraction)
Rational number in decimal form are
TERMINATING or REPEATING
Irrational numbers are numbers
that cannot be written in the form a/b (fraction)
Irrational numbers in decimal form are
NON-terminating and NON-repeating
real numbers are numbers that are
either rational or irrational
counterexample is
any example that proves a statement false
An inequality is a mathematical sentence that
compares the values of two expressions using an inequality symbol
opposites are numbers that are
the same distance from ZERO on a number line, but LIE in opposite directions
absolute value is
the DISTANCE that a number is from zero on a number line
Classify -13
INTEGERS, rational numbers
Classify 3.28
rational numbers
-12 belongs to which sets of numbers?
Integers, rational numbers
5/16 belongs to which sets of numbers?
rational numbers b/c quotient is a number with repeating decimal, 1.6666666.... i.e. 6 repeats forever!
-4.67 belongs to which sets of numbers?
rational numbers (terminating as a decimal)
6 belongs to which sets of numbers?
natural numbers, whole numbers, integers, rational numbers
Is it true or false that ALL whole numbers are integers?
TRUE
Is it true or false that NO fractions are whole numbers?
FALSE - ex. 3/1 =3
order from least to greatest 1/12, -2/3, and -5/8
-2/3, -5/8, 1/12
what is the absolute value of l-2.5l ?
2.5
what is the absolute value of l5l
5
what is the absolute value of l-4l
4
what is the absolute value of l-3.7l
3.7
what is the absolute value of l5/7l
5/7
An IRRATIONAL number CANNOT be written as a
FRACTION!
A RATIONAL number CAN be written as a
FRACTION!!
Give the example of the most famous irrational number
pi (3.14........................)
is the square root of 2 rational or irrational?
Irrational b/c its decimal form is NON-terminating and NON-repeating
Is zero a whole number?
YES
is 5 a natural number?
YES
Is the square root of 4 an integer?
YES, it =2 and 2 is an integer.
Is ZERO negative or positive?
neither negative nor positive
The absolute value of any number
is always POSITIVE
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