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Bell Ringer. 1. -5 + -6 = 2 . - 2 – 5 = 3 . 3 • - 7 = 4. -10 ÷ -2 = 5. 9 • -3 = 6. -7 – (-7) = After you have completed the bell ringer, take out your homework!. Rules for Addition of Integers. 1. If the signs are the same, add and keep the sign.
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Bell Ringer 1. -5 + -6 = 2. -2 – 5 = 3. 3 • -7 = 4. -10 ÷ -2 = 5. 9 • -3 = 6. -7 – (-7) = After you have completed the bell ringer, take out your homework!
Rules for Addition of Integers 1. If the signs are the same, add and keep the sign. -5 + -6 = -11 7 + 4 = 11 2. If the signs are different, subtract and take the sign of the bigger number. -8 + 9 = 1 -7 + 2 = -5
Rules for Subtraction of Integers 1. Change the sign of the second number and follow the rules for addition. 6 – (-5) = 6 + (+5) = 11 -3 – (+2) = -3 + (-2) = -5
Rules for Multiplication and Division of Integers 1. If the signs are the same, the answer is positive. 2. If the signs are different, the answer is negative. - 6 • -3 = +18 -5 • 4 = -20 -20 ÷ -4 = +5 +35 ÷ -7 = -6
Order of Operations A Lesson in Organization
Definitions • Order of Operations tells us the order we simplify and evaluate expressions using operations (PEMDAS) • Expressions are math statements that DO NOT HAVE AN EQUALS SIGN • Simplify means to reduce an expression to its simplest terms • Evaluate means to find the value of an expression (calculate)
PEMDAS or Not To PEMDAS? • 1. Parentheses – Do everything inside of them first! • 2. Exponents – Apply exponents to their bases. • 3. Divide and Multiply – In order from left to right! • 4. Add and Subtract – In order from left to right!
Samples • 3 + 4 • 6 – 3 = • 6 + 3² – 2 • 5 + 2 = • 5 + (4 – 2) • 3 + 1 = • 24 • 7 • 12
Am I Right or Am I Wrong? Add parentheses to make each statement true! • 4 + 5 • 9 – 3 = 34 • 12 • 8 – 5 + 2 = 38 • 15 + 2 • 6 – 10 = 7 • 3 • 8 ÷ 4 + 4 = 24 ( ) ( ) ( ) ( )