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Discovering Differences on the Number Line

Discovering Differences on the Number Line. 3. 4-1=. What are the two numbers you are subtracting?. Plot those two numbers on the number line. 3. What do you notice about how far apart the numbers are?. 1-5=. -4. What are the two numbers you are subtracting?.

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Discovering Differences on the Number Line

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  1. Discovering Differences on the Number Line

  2. 3 4-1= What are the two numbers you are subtracting? Plot those two numbers on the number line 3 What do you notice about how far apart the numbers are?

  3. 1-5= -4 What are the two numbers you are subtracting? Plot those two numbers on the number line 4 What do you notice about how far apart the numbers are?

  4. -3-(-4)= 1 What are the two numbers you are subtracting? Plot those two numbers on the number line 1 What do you notice about how far apart the numbers are?

  5. -5 -2-3= What are the two numbers you are subtracting? Plot those two numbers on the number line -5 What do you notice about how far apart the numbers are?

  6. What relationship do you notice between the difference of the numbers and the distance between them on the number line? The distance is the _______ _____ of the difference absolute value

  7. Why is this strategy helpful? If the two numbers you were subtracting were 5 and -3, what are the two possible differences? 8 5 – (-3) -3 – 5 -8 8

  8. How could you prove that Megan has an error in her reasoning? -5 – (-1) = -6 - 5 and -1 are only 4 units apart on the number line, so the difference would have to have an absolute value of 4, not 6. 4

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