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# 2.2 add integers ws day1

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### Transcript

• 1.
• Before the bell rings...
• Have your assignment out on your desk.
• Have your covered textbook with you.
• 94 x 8=
• 55.07 – 9.26=
• 2.
• Before the bell rings...
• Have your assignment out on your desk.
• Have your covered textbook with you.
• 94 x 8=
• 55.07 – 9.26=
752 45.81
• 3. Addition of Integers Section 2.2 P. 63
• 4. Properties of Addition
• Commutative Property : - the order in which two numbers are added does NOT change the sum. 4 + -8 = - 8 + 4
• Associative Property : The way you group three numbers when adding does NOT change the sum.
• (-5 + 8) + 9 = -5 + ( 8 + 9 )
• 5. Properties of Addition
• Additive Identity Property :
• The sum of a number and the additive identity – ZERO- is always the number.
• Example: 4 + 0 = 4
• -19 + 0 = -19
• a + 0 = a
• 6. Properties of Addition
• Additive Inverse Property :
• The sum of a number and its opposite is 0. a + (- a ) = 0 -4 + 4 = 0
• 8 + -8 = 0
• 7. 5 + 3 = 8 Up 5 , then up 3 more If you have \$5 in your pocket and are given \$3 more, how much do you have? -5 + (-3) = -8 Down 5 then down 3 more If you owe \$5 and then borrow \$3 more, how much do you have?
• 8.
• Think what these two problems have in common.
• 1. You had to add the 3 and the 5 to get the answer.
• 2. The sign depended on the sign of the original numbers.
• 9.
• Rule:
• To add numbers with the same sign,
• ADD the numbers.
• KEEP THE SIGN of the numbers involved.
• 10. EXAMPLE 1 Adding Integers Using a Number Line Use a number line to find the sum. a. 5 + ( 8) – Start at 0 . Move 5 units to the right. Then move 8 units to the left.
• 11. EXAMPLE 1 Adding Integers Using a Number Line Use a number line to find the sum. a. 5 + ( 8) – Start at 0 . Move 5 units to the right. Then move 8 units to the left. Answer The final position is –3 . So, 5 + (–8) = –3 .
• 12. EXAMPLE 1 Adding Integers Using a Number Line Use a number line to find the sum. b. – 6 + 10 Start at 0 . Move 6 units to the right. Then move 10 units to the left.
• 13. EXAMPLE 1 Adding Integers Using a Number Line Use a number line to find the sum. b. – 6 + 10 Start at 0 . Move 6 units to the right. Then move 10 units to the left. Answer The final position is 4 . So, –6 + 10 = 4 .
• 14.
• Rule:
• To add numbers with opposite signs
• Subtract the numbers.
• Keep the sign of the number with the larger absolute value.
• 15.
• 5 + (-3) =
• The signs are opposite so subtract.
• 5 has the larger absolute value so the answer is positive.
• -5 + 3 =
• The signs are opposite so subtract.
• 5 has the larger absolute value so the answer is negative.
• 16.
• Apply the rules:
• -8 + -12 = ___ 5 + -9 = _____
• -6 + 15 = _____ - 4 + -3 + -7 = _____
• 7 + 5 = _____ -5 + 3 + 5 + -8 = ___
• -7 + 7 = ____ -13 + 0 =____
• 17.
• Apply the rules:
• -8 + -12 = ___ 5 + -9 = _____
• -6 + 15 = _____ - 4 + -3 + -7 = _____
• 7 + 5 = _____ -5 + 3 + 5 + -8 = ___
• -7 + 7 = ____ -13 + 0 =____
-20 -4 9 -14 12 -13 0 -5
• 18.
• Assignment:
• P 65 #1-23
• In 12-23 there are three problems that need to have either the Identity Property (adding 0) or the Inverse Property (adding opposites) listed with them.
• Show work and NO CALCULATORS