Integer Positions: Follow the Number Line

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.

Worked example

-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 Which number is greater: -6 or -2? -6 -2 They are equal

Question 2 What is the opposite of -7? -7 0 7

Question 3 What is |-5|, the distance from -5 to zero? 5 -5 0

Question 4 Which list is in increasing order? 3, 0, -1, -4 0, -1, 3, -4 -4, -1, 0, 3

Question 5 A fictional lift is at level -3. Which statement is correct? It is 3 levels above level 0 It is 3 levels below level 0 Its distance from level 0 is -3

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