Rational numbers: Ordering and Comparing, Classifying numbers

Put these numbers in order, from least to greatest: -17, -33, -5

-33, 17, -5

Put these numbers in order, from greatest to least: -17, -33, -5

-5, -17, -33

Put these numbers in order, from least to greatest: 0, -5, 18

-5, 0, 18

Put these numbers in order, from least to greatest: 1/4, 0.14, 1/3

0.14, 1/4, 1/3

Put these numbers in order, from least to greatest: 0.23, 0.3, 0.725

0.23, 0.3, 0.725

Which is greater: the absolute value of -0.5 or 0.6?

0.6

Put these numbers in order, from greatest to least: 0.23, 0.3, 0.725

0.725, 0.3, 0.23

Put these numbers in order, from greatest to least: 1/4, 0.14, 1/3

1/3, 1/4, 0.14

Put these numbers in order, from greatest to least: 0, -5, 18

18, 0, -5

Opposites

2 numbers that are the same distance from zero, but on opposite sides of zero.

Find the absolute value of this number: -5.3

5.3

-1/2 _______ -0.1

<

Use <, >, or = between these 2 numbers: -1/2 _______ -0.5

=

Use <, >, or = between these 2 numbers: -14 _______ -17

>

Absolute Value

A number's DISTANCE from zero.

Rational Numbers

All numbers that can be written as a fraction.

Integers

All the positive and negative whole numbers.

√15

Irrational & Real

Rational or Irrational? 17.2346548920785....

Irrational (it is a decimal, that goes on forever, WITHOUT a pattern)

Rational or Irrational? pi

Irrational (it is a decimal, that goes on forever, WITHOUT a pattern)

Irrational Numbers

Numbers that cannot be written as a fraction; they are decimals that go on forever WITHOUT a pattern.

32.34343434...

Rational & Real

Rational or Irrational? 4 1/2

Rational (It is a mixed number, includes a fraction)

Rational or Irrational? 17.8888888....

Rational (it is a decimal, that goes on forever, WITH a pattern)

Rational or Irrational? 435,726

Rational (it is a whole number; therefore, it can be written as a fraction; therefore, it is rational)

Rational or Irrational? 5/7

Rational (it's a fraction)

-12/2

Real, Rational, Integer

0

Real, Rational, Integer, Whole

5

Real, Rational, Integer, Whole, Natural

Which is greater: the absolute value of -2.7 or the absolute value of -3.6?

The absolute value of -3.6.

{0,1,2,3,4...}

Whole Numbers

whole number

a counting number or zero

repeating decimal

a decimal that does not have a definite end to it (The place value of the last digit in the number cannot be found.)

terminating decimal

a decimal that has a definite end to it (The place value of the last digit in the number can be found.)

rational number

a number that can be written as a ratio of integers

irrational number

a number that cannot be written as a ratio of integers

real number

a number that is rational or irrational

perfect square

a number that result from multiplying an integer by itself

square root

a number that when multiplied to itself results in a specified number. The square root of 25 is 5, since 5x5=25 (25 is the specified number)

natural number

a number we count with

integer

a whole number or the opposite of a whole number

Integers

{-3,-2,-1,0,1,2,3...}