Name:____________________
Pd:_____
Chapter 3: Operations with Rational Numbers- Vocabulary and Important Concepts
Lesson 3-1: Fractions and Decimals
Repeating decimal- ANY fraction , where b
0, can be written as a ______________ by _______________
the ________________ by the _____________________________. So
= ________________.
Terminating decimal- If the repeating digit is ______________.
_______ ____________________ is a bar or line placed over the digit(s) that ______________.
How to convert a fraction to a decimal (example)-
Note (pg 96) When comparing two decimals, compare the digits in the same ________-_______ position.
Lesson 3-2: Rational Numbers
Rational Numbers- (fill in the chart with the terms, rational numbers, natural numbers, whole numbers, and
integers!)
Key Concept: All rational numbers can be written as ______________ or ____________ decimals.
Decimals that never terminate or ______________ are called ______________________ numbers.
Examples:
= 3.141592… , 8.78778777877778…
3-3: Multiplying Rational Numbers
Key Concept: Multiplying fractions
Words
Symbols
To multiply ___________, _______________ the numerators and multiply the
___________________.
*
=
Example
Note (pg108) Negative signs- When working with negative fractions, assign the negative sign to the
_________________.
3-4: Dividing Rational Numbers
Multiplicative inverses (also known as ____________) –
Key Concept- Inverse Property of Multiplication:
Words
The ______________ of a number and its _____________________ inverse is __________.
Symbols
For every number
that
*
, where a,b _____________, there is _____________ one number, such
=
Example
Key Concept- Dividing fractionsWords
To divide by a fraction, ___________________ by its _________________________________.
Examples
Another word for divide is q___________.
Note (pg 115): When dividing by a whole number, always rename it as an ____________ fraction first.
Then multiply by its ______________.
Name:____________________
Pd:_____
Chapter 3: Operations with Rational Numbers- Vocabulary and Important Concepts
3-5: Adding and Subtracting Like Fractions
Like Fractions- Fractions with the _______________________________.
Key Concept: Adding Like FractionsWords
Symbols
To add fractions with like ____________________, ________ the _________________ and
write the ____________ over the denominator.
+
=
, where c ________ 0.
Example
Alternative Method Note (pg 121) Sometimes it’s easier to add or subtract Mixed Numbers by making them
improper _______________ first.
Key Concept: Subtracting Like FractionsWords
Symbols
To subtract fractions with like ____________________, _____________ the
_________________ and write the __________________ over the denominator.
-
=
, where c ________ 0.
Example
Watch Out (pg 122): When you subtract a ______________ number, you ___________ the opposite. If the
number you are subtracting FROM is _________________, the result can be ______________,
______________, or __________.
3-6: Adding and Subtracting Unlike Fractions
Unlike Fractions- are fractions with _____________________ _________________________. Use the
___________ common ______________________ of the _______________ to rename the fractions before
adding them.
Key Concept: Adding Unlike FractionsWords
Symbols
To add fractions with unlike ____________________, ____________ the _________________
with a ___________________ ____________________. Then ________ and ___________ as
with like fractions .
+
=
Note (pg 127) LCD- L___________ C_______________ D_____________________
Key Concept: Subtracting Unlike FractionsTo subtract fractions with unlike ____________________, ____________ the _________________ with a
___________________ ____________________. Then ________ and ___________ as with like fractions .