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Adding and Subtracting Positive and Negative Integers Answer Key

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Adding positive and negative integers
#1 5 + -2 3
#2 -8 + 5 -3
#3 -9 + -8 -17
#4 When adding two negatives the sum will be: a. always positive, b. always negative, or c. sometimes positive and sometimes negative B. always negative
#5 Prove with your counters what -7 + 9 equals 2
Vocabulary
#1 The answer to an addition problem Sum
#2 The answer to a subtraction problem Difference
#3 Numbers greater than zero Positive numbers
#4 The positive number of units a number is from zero on a number line absolute value
#5 The set of numbers that includes positive and negative numbers, and zero Integers
Subtracting positive and negative integers
#1 10 - (-2) 12
#2 -3 - 6 -9
#3 -4 - (-3) 1
#4 What number should be subtracted from -7 to get a difference of -12? 5
#5 When you subtract a negative number from a positive number the difference will be: a.) always positive, b.) always negative, c.) sometimes positive and sometimes negative? A. Always positive
Reasoning
#1 When solving the problem -5 + 15 by walking the number line, would you be walking forward or backward? Forward
#2 When solving the problem -6 - 5 by walking the number line, would you be walking forward or backward? Backward
#3 When solving the problem -7 - (-3) by walking the number line, would you be facing the negative integers or the positive integers? Negative integers
#4 When solving the problem -9 - 4 by walking the number line, would you be facing the negative integers or the positive integers? Positive integers
#5 Explain why subtracting a negative number is the same as adding a positive by relating it to the number line. When subtracting a negative number, you would be facing in the direction of the negative numbers and walking backwards, which is the same as walking forward when facing the positive integers.
Equations
#1 Write an equation to represent beginning at 5 on the number line and ending at 2. 5 - 3 or 5 + (-3)
#2 Write an equation to represent beginning at -7 on the number line and ending at -3. -7 + 4 or -7 - (-4)
#3 Write an equation that represents beginning at 3 on the number line and ending at -1. 3 + (-4) or 3 - 4
#4 Write an equation to represent beginning at -6 on the number line and ending at -9. -6 + (-3) or -6 - 3
#5 Write an equation to represent starting at 5.25 on the number line and ending at 7.75. 5.25 + 2.5 or 5.25 - (-2.5)
Final Question
What is your favorite subject? Math