Name:_________________________________ M2L4 Date:_________ Accordino-Math 7 Period:________ Lesson 4: Addition of Integers- “THE RULES” Bellringer 1) Match the term with their appropriate definition: _________: Integer a. The opposite of a number, Ex. 10, -10 _________: Additive Inverse b. A statement that two ratios are equivalent _________: Unit Rate c. A positive or negative whole number including zero _________: Proportion d. The distance from zero on a number line, |−𝒙| _________: Absolute Value e. A ratio with a denominator equal to 1 2) Complete the following statement with a >, <, or =. |−𝟒| ______ (−𝟐) + (−𝟐) Name:_________________________________ M2L4 Accordino-Math 7 Date:_________ Period:________ Lesson 4: Addition of Integers- “THE RULES” Exit Ticket Complete each of the rules for adding integers below Adding Integers 1) When adding two integers with the same sign ( ++ or --): _________________________________________________________________________ _________________________________________________________________________ 2) When adding two integers with different signs (+- or -+): _________________________________________________________________________ _________________________________________________________________________ 3) Find the sum of (-106) + (14) Name:_________________________________ Accordino-Math 7 M2L4 Date:_________ Period:________ Lesson 4: Addition of Integers- “THE RULES” Notes Review: Integer:___________________________________________________________________ Absolute Value: ____________________________________________________________ Ex) The Additive Inverse:_________________________________________________________________ Ex) When we add a number and its opposite we will _______________ get an answer of zero. This is called the Additive Inverse of a number!!! Let’s Talk about Signs! 1. Write a number sentence to find the sum of the integers represented in the diagram below? What were the signs on both of the integers? What was the sign of the solution? 2. Write a number sentence to find the sum of the integers represented in the diagram below? What were the signs on both of the integers? What was the sign of the solution? Name:_________________________________ M2L4 Accordino-Math 7 3. Date:_________ Period:________ Write a number sentence to find the sum of the integers represented in the diagram below? What were the signs on both of the integers? What was the sign of the solution? 4. Write a number sentence to find the sum of the integers represented in the diagram below? What were the signs on both of the integers? What was the sign of the solution? “THE RULES” Adding Integers With the same sign ( ++ or --) keep the sign and add absolute values of each integer “SSA- Same Signs Add” With different signs (+- or -+) Take sign of the larger absolute value and subtract absolute values “DSS- Different Signs Subtract” Name:_________________________________ M2L4 Accordino-Math 7 Ex 1) Find the sum of (-12) + 9. Ex 2) Find the sum of (-125) + (-116). Ex 3) Find the sum of 125 + (-116) + 10. You Try it! Find the sum of each expression below using the rules for adding integers. a. −10 + (−7) = b. 8 + (−16) = c. −12 + (65) = d. −105 + (−126) = e. 105 + 126 + (−105)= f. 105 + (−126) + (−100) + (−5) = g. 9 + 11 + (−8) + (−20) + 4 = Date:_________ Period:________ Name:_________________________________ M2L4 Date:_________ Accordino-Math 7 Period:________ Homework: 1. In each of the following a-h, Circle the integer with the greater absolute value. a. −1 + 2 e. −11 + (−12) b. 5 + (−9) f. −22 + 20 c. −6 + 3 g. 8 + (−2) d. −11 + 1 h. −1 + (−2) 2. State whether the sum will be positive or negative. (Hint: Try thinking of each expression as a story problem…money owed, temperature, etc.) i. −4 + (−2) ________________________________ 5 + 9 ________________________________ iii. −6 + (−3) ________________________________ iv. 1 + (−11) ________________________________ v. 3 + (−5) + 7 ________________________________ vi. −20 + 15 ________________________________ ii. 3. Find the sum for each of the expressions below using “The Rules”: a. 6 + (-8) = d. (-15) + (205) = b. (-17) +(-100) = e. 19 + 1004 = c. (-18) + (19) + (-10) + (-9) = f. (-101) + (-202) + (101) =
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