Chapter 2

Rational Numbers

rational number

a numbers that can be expressed as a/b, where a and b are integers and b cannot equal zero

examples of rational numbers

\-4, 3,5, -1/2,3/4, and 0. (integers, positive/negative numbers, or zero)

how to compare and order rational numbers

1. express all the numbers in the same form. ie. all written as fractions or all as decimals.
2. place them all on a number line.


1. larger numbers are to the right of smaller numbers.

how to compare rational numbers. ie. determine which one is larger or smaller.

1. you can use equivalent fractions.


1. you need a common denominator. then compare the numerators.
2. you can use decimals


1. convert fractions to decimals and compare the numbers.

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identify a rational number between two given rational numbers

1. use a number line


1. identify a decimal between the given ones
2. convert decimal into a fraction

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equivalent fractions

fractions that represent the same rational number

order of operations

1. brackets
2. exponents
3. division
4. multiplication
5. addition
6. subtraction

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how to add and subtract rational numbers in fraction form

1. have a common denominator
2. rewrite the mixed numbers as improper fractions
3. add numerators

multiplying rational numbers in fraction form

multiply numbers left to right

dividing rational numbers in fraction form

multiply by the reciprocal or the second fraction. ie. flip the numbers of the second fraction and multiply as usual

what is a square root?

a square root is a number multiplied by itself. 3x3=9, the square root of 9=3 pg.72