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1.3 Adding Integers POD #1l 45 + 3l - l- w l w=3 l 45 + 3l - l-3 l *Plug it in, Plug it in 48 - 3 45 POD #2l a l + l 37 – 2 l a= 25 l 25 l + l 37 – 2 l *Plug it in, Plug it in 25 + 35 60 Objection:Today I will learn how to add integers
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1.3 Adding Integers What is an integer?Positive and negative numbers Example: 24, -47, 333, 5000, -24 How do I add integers?+/- Integer Rules Same Sign Sum (Sum= add) Different Signs take the Difference (Difference= subtract) Example: -8+4 -, + Different Signs take the Difference 4 Which number is bigger the 8 or 4? 8 -4 Take the sign in front of the bigger number
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Evaluate (solve):-1 + (-6) Look at the signs right in front of the number -1 + (-6) -, - Same Sign Sum 7 What is the same sign? negative - 7- 7 9+ (-3) +, - Different Signs take the Difference 6 Which number is bigger the 9 or 3? 9 6 Take the sign of the bigger number -25+ 25 -, + Different Signs take the Difference 0
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What are the additionIdentify Property of Addition properties (rules)? The “identity” of the number stays the same Example: -3 +0= -3 The “identity” starts with -3 and ends with - 3 Inverse Property of Addition The inverse sign to always give you a zero as the answer Example: 5+ (-5)= 0 The inverse of 5 is –5, the answer is 0 Closure Property of Addition The adding of integers Example: 7+ 7= 14
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Name the properties: 42+ (-23)=19 -25+ 25=0 45+ 0= 45 -93+ 16= -77
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What if there arePlug it in, plug it in variables?a= -13 b= 24 c= -27 a+b plug it in, plug it in -(13)+ (24) -, + Different Signs take the Difference 11 Which number is bigger the 13 or 24? 24 11 Take the sign of the bigger number a+ lcl plug it in, plug it in -13+ l -27 l What is the absolute value of 24? places from zero -13 + 27 -,+ Different Signs take the Difference 14 Which number is bigger the 13 or the 27? 27 14 Take the sign of the bigger number
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White Board CheckEvaluate (solve) - 35 + 5 = 30 *Different Signs Take the Difference -30 * 35 is bigger so take the sign -94 -12 = 106 *Same Signs Sum -106 * What is the same sign? Negative
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