0-4 Adding and subtracting rational numbers Goals: Compare and order rational numbers. Add and subtract rational numbers.

Vocabulary Numerator – top number in a fraction Denominator – bottom number in a fraction

Comparing and Ordering Rational Numbers Two methods: Get a common denominator. Example: 2 3 𝑎𝑛𝑑 5 6 Turn fractions into decimals. Example: 4 5 𝑎𝑛𝑑 5 8

Examples < > < Replace the blank space with <, >, or =. 3 5 ___ 7 9 4 7 ____0.55 −5 6 11 _____−5.5 < > <

Examples Order the numbers from least to greatest. 5 2 9 , 5 3 8 , 4.9 𝑎𝑛𝑑 −5 3 5 −5 3 5 , 4.9, 5 2 9 , 5 3 8 3 3 8 , −3 3 7 , 3.45 𝑎𝑛𝑑 −3 2 5 −3 3 7 , −3 2 5 , 3 3 8 , 3.45

Adding and Subtracting Fractions Two methods: Get a common denominator and add or subtract numerators. Example: 1 2 + 2 3 Use a calculator. Example: 3 5 + 7 9

IMPORTANT!!! Things to remember when using a calculator: Fractions should ALWAYS be in parenthesis Mixed numbers are put in as an addition problem To get a fraction for an answer press: MATH >FRAC

Adding and Subtracting Decimals Two methods: Line up decimals and add or subtract. Use a calculator.

Examples Find each sum or difference. 3 5 + 1 5 3 8 − 1 3 4 5 + 7 10 2 5 − 3 4 4 5 1 24 1 1 2 − 7 20

Examples -12.6 + (-3.9) -16.5 2.5 – (-3.5) -32.25 – (-42.5) 6 -17.55 – (-24.5) -16.5 6 10.25 6.95

Practice Page P16 #11-25 odd

Homework Page P16 #2-40 even