Rational Numbers Review Sheet
Test Date: _________
How to prepare for a math test
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Read through this review sheet to determine what you know and what you don’t
know. Focus your study time on what you don’t know first.
Review vocabulary, reference sheets, notes, and key concepts
Try problems from the practice packet in your binder. Remember, answers are on
the back!
Go to http://connected.mcgraw-hill.com/connected/login.do
Log in and use any of these resources:
Watch – a purple button that is a personal tutor for each concept
Check – the red check mark that is a quick quiz on a concept
Response to Intervention – RtI button has very basic explanations of
concepts with additional practice pages
Worksheets – a green button that has extra worksheets for concepts you
may want to practice more
Ask for help! See Mrs. Blue during team support; ask a friend or a parent.
Get a good night’s sleep and eat a good breakfast!
Key concepts
 Rational Numbers
o What is a rational number?
o How does it compare to an integer?
o Know the Venn diagram of numbers (p.271) & be able to give examples of
each type of number
o Change a fraction into a decimal using
 Commonly know facts
 Percentages
 Long division
o What is a terminating decimal?
o What is a repeating decimal?
o How do you write a terminating decimal properly?
o How can you tell if a fraction will have a terminating or repeating decimal?
o Place rational numbers on a number line, remember numbers get smaller as
they move left on the number line
o Compare rational numbers using any of these strategies:
 Number lines
 Common denominator
 Place value
 Adding & Subtracting Rational Numbers
o Use the number line model to add or subtract rational numbers
 Addition means a move to the right
 Subtraction means a move to the left
o Apply the rules for addition & subtraction of integers when adding rational
numbers
 Addition: Same sign addition results in an answer with the same sign;
think continuing in the same direction on the number line. Different
sign addition results in a change in direction on a number line.
 Subtraction: Change the problem to “add the opposite” or “add the
additive inverse”, you must change the operation & the sign of the 2nd
integer.
o Add & subtract rational numbers {this includes fractions, mixed numbers}
 Multiplying Rational Numbers
o +∙+=+
o – ∙ – = + (2 negatives make a positive)
o +∙–=o –∙+=o Multiply rational numbers
o Remember the fraction multiplication algorithm….multiply numerator by
numerator and denominator by denominator. Don’t forget to pre-reduce to
save you time.
o Convert between measurement systems. Yes, more of these , only now we
are going between customary and metric! I do not expect you to memorize
the chart on p. 320 (I don’t even know all of these!!), but I do expect that you
can use it to solve problems.
 Dividing Rational Numbers
o A quotient of two integers with the same sign is positive.
o A quotient of two integers with different signs is negative.
o Divide rational numbers
o Remember the fraction division algorithm…multiply by the reciprocal.
o What’s a reciprocal?