Integer Positions: Explain a New Model

Compare signed positions, opposites and distances from zero.

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Numbers increase to the right. Opposites are equally far from zero on opposite sides. Absolute value is distance from zero and is never negative. Zero is neither positive nor negative.

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-5 is less than -1 because it is farther left. But |-5| = 5 is greater than |-1| = 1: the first position is farther from zero.

A number line with equal intervals from -8 to 8. -5 is left of -1, so -5 is less. Their distances from zero are 5 and 1. — Position and distance from zero are different comparisons.

Would you believe it?

Zero is the only number that is its own opposite. Reflecting a nonzero number across zero reaches a different position, equally far away on the other side.

Question 1 A made-up forecast lists -8 degrees C and -3 degrees C. Which is warmer? -3 degrees C -8 degrees C They are equally warm

Question 2 What is the opposite of 4? 4 -4 0

Question 3 Which two numbers have absolute value 6? 0 and 6 -3 and 3 -6 and 6

Question 4 Which statement about zero is true? Zero is neither positive nor negative Zero is positive Zero is negative

Question 5 A robot is at -9 and a box is at -2. Which comparison is true? -9 > -2 -9 = -2 -9 < -2

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