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## Rational Numbers

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**Some Definitions**• Rational Number: Any number that can be converted into a fraction ( Examples: ¼, 3, 4.25, 0). • Fraction: A part of a whole ( ¼ , ¾). • Mixed Number: A whole number and a fraction (1 ¼ ) • Terminating Decimal: A decimal number that stops (3.75, 4.3, 8.3245). • Repeating Decimal: A decimal number that has a repeating pattern (3.757575… , 2.345345… )**Adding Decimal Numbers**• To add decimal numbers, line up the addends by the decimal place and add. • Make sure the place values line up properly.**Applying Integer Rules**• We can apply the same rules for integers to rational decimal numbers. • Rule 1: If the signs are the same, add and keep the sign the same. • Rule 2: If the signs are different, subtract and keep the sign of the larger number.**Adding Fractions and Mixed Numbers**• When you add fractions, you must first find a common denominator. • We find a common denominator by finding the least common multiple for the denominators of our addends. • Make sure your answer is always in lowest terms.**Applying Integer Rules**• We can also apply our integer rules to fractions and mixed numbers. • If we need to borrow, take one away from the whole number and add the appropriate amount to the numerator.**Use your subtraction rules:**• Change subtraction to addition and find the opposite of the second number. • Go back to addition rules.**Multiplying Decimals**• Line up the numbers justified right. • Multiply the factors. • Count the decimal places in each factor and add. • Move the decimal place that many times to the left.**Multiplying Fractions**• Change mixed numbers to improper fractions. • Cross cancel and multiply OR • Multiply and reduce**Dividing Decimals**• Set it up. (First in) • Move the decimal on the outside. • Move the decimal on the inside the same number of times. • Rewrite and divide.**Dividing Fractions**• Change mixed numbers to improper fractions. • KFC