Rational Numbers Review Sheet Test Date: ______
How to prepare for a math test
- 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
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
- What is a rational number?
- How does it compare to an integer?
- Know the Venn diagram of numbers (p.271) & be able to give examples of each type of number
- Change a fraction into a decimal using
- Commonly know facts
- Percentages
- Long division
- What is a terminating decimal?
- What is a repeating decimal?
- How do you write a terminating decimal properly?
- How can you tell if a fraction will have a terminating or repeating decimal?
- Place rational numbers on a number line, remember numbers get smaller as they move left on the number line
- Compare rational numbers using any of these strategies:
- Number lines
- Common denominator
- Place value
Adding & Subtracting Rational Numbers
- 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
- 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.
- Add & subtract rational numbers {this includes fractions, mixed numbers}
Multiplying Rational Numbers
- + + = +
- – – = + (2 negatives make a positive)
- + – = -
- – + = -
- Multiply rational numbers
- Remember the fraction multiplication algorithm….multiply numerator by numerator and denominator by denominator. Don’t forget to pre-reduce to save you time.
- 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
- A quotient of two integers with the same sign is positive.
- A quotient of two integers with different signs is negative.
- Divide rational numbers
- Remember the fraction division algorithm…multiply by the reciprocal.
- What’s a reciprocal?