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Name:__________________________________ Date: __________________________________ Period: _________________________________ Integer Number Sentence Equivalents Addition and Subtraction Part I - Directions: Use the number sentence above each table to answer the questions within the cells. Original Sentence: -8 + -3 = -11 1 Use the commutative property of addition to write an addition number sentence that is equivalent to the original sentence. 2 Write the subtraction sentences that are equivalent to the original sentence and the sentence created in #1. 3 Use one of the equivalent subtraction sentences in #2 to explain why the commutative property of subtraction does NOT exist. Original Sentence: -7 – (-5) = -2 4 Write the addition sentence that is equivalent to the original sentence. 5 Use the commutative property of addition to write an addition number sentence that is equivalent to the sentence in #4. 6 Use the original subtraction sentence to explain why the commutative property of subtraction does not exist. Charlie Avery © 2015 Integer Number Sentences Equivalents Part II - Directions: Read each question within the cell and provide the correct answer. 7 Write the addition number sentences that are equivalent to -11 – 5 = -16. 13 Write the subtraction number sentences that are equivalent to -9 + 7 = -2. 8 Write the subtraction number sentence that are equivalent to -8 + (-7) = -15. 14 Write the addition number sentences that are equivalent to -9 - 4 = -13. 9 Write the subtraction number sentences that are equivalent to -4 + (-1) = -5. 15 Use the commutative property of addition to write a number sentence that is equivalent to -14 + (-5) = -19. 10 Use the commutative property of addition to write a number sentence that is equivalent to 7 + (-5) = 2. 16 Write the addition number sentences that are equivalent to -8 – (-20) = 12. 11 Use the commutative property of addition to write a number sentence that is equivalent to -12 + 10 = -2. 17 Use the commutative property of addition to write a number sentence that is equivalent to -8 + 5 = -3. 12 Write the subtraction number sentences that are equivalent to -30 + 5 = -25. 18 Write the addition number sentences that are equivalent to -13 – (-7) = -6. Charlie Avery © 2015 Integer Number Sentences Equivalents Answer Key Part I - Directions: Use the number sentence above each table to answer the questions within the cells. Original Sentence: -8 + -3 = -11 1 Use the commutative property of addition to write an addition number sentence that is equivalent to the original number sentence. -3 + (-8) = -11 2 Write the subtraction sentences that are equivalent to the original sentence and the sentence created in #1. -8 – 3 = -11 and -3 – 8 = -11 3 Use one of the equivalent subtraction sentences in #2 to explain why the commutative property of subtraction does NOT exist. If I commute the numbers in the sentence -8 – 3 = -11, then the equation becomes 3 – (-8) = 11 which is not the same as -8 – 3 = -11. Original Sentence: -7 – (-5) = -2 4 Write the addition sentence that is equivalent to the original sentence. -7 + 5 = -2 5 Use the commutative property of addition to write an addition number sentence that is equivalent to the sentence in #4. 5 + -7 = -2 6 Use the original subtraction sentence to explain why the commutative property of subtraction does NOT exist. If I commute the numbers in the original number sentence, then the equation becomes -5 – (-7) = 2 which is not the same as -7 – (-5)= -2. Charlie Avery © 2015 Integer Number Sentences Equivalents Part II - Directions: Read each question within the cell and provide the correct answer. 7 Write the addition number sentences that are equivalent to -11 – 5 = -16. -11 + (-5) = -16 and -5 + -11 = -16 8 Write the subtraction number sentence that are equivalent to -8 + (-7) = -15. -8 -7 = -15 and -7 -8 = -15 9 Write the subtraction number sentences that are equivalent to -4 + (-1) = -5. -4 – 1 = -5 and -1- 4 = -5 10 Use the commutative property of addition to write a number sentence that is equivalent to 7 + (-5) = 2. -5 + 7 = 2 11 Use the commutative property of addition to write a number sentence that is equivalent to -12 + 10 = -2. 10+ (-12) = -2 12 Write the subtraction number sentences that are equivalent to -30 + 5 = -25. -30 – (-5) = -25 and 5 – 30 = -25 Charlie Avery © 2015 13 Write the subtraction number sentences that are equivalent to -9 + 7 = -2. -9 – (-7)= -2 and 7 – 9 = -2 14 Write the addition number sentences that are equivalent to -9 - 4 = -13. -9 + (-4) = -13 and (-4) + (-9) = -13 15 Use the commutative property of addition to write a number sentence that is equivalent to -14 + (-5) = -19. -5 + -14 = -19 16 Write the addition number sentences that are equivalent to -8 – (-20) = 12. -8 + 20 = 12 and 20 + (-8) = 12 17 Use the commutative property of addition to write a number sentence that is equivalent to -8 + 5 = -3. 5 + (-8)= -3 18 Write the addition number sentences that are equivalent to -13 – (-7) = -6. -13 + 7 = -6 and 7 + (-13) = -6 Integer Number Sentences Equivalents Charlie Avery © 2015 Integer Number Sentences Equivalents