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On a number line, the ordinate of point K is 25 and the ordinate of point D is -84. What is the length of KD​

1 Answer

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Answer: KD is 109 units long

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Step-by-step explanation:

Draw out a number line. Plot point D at -84 and K at 25. Plot a third point, say point A, at 0.

From D to A is 84 units

From A to K is 25 units

Those two distances add to 84+25 = 109 units total, which is the distance from K to D on a number line. This is the same as the length of segment KD.

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You could also show your steps like this

|D - K| = |-84 - 25| = |-109| = 109

The absolute value is to ensure the result is never negative.

The D and K can swap like so

|K - D| = |25 - (-84)| = |25+84| = |109| = 109

Either way we get the same distance.

User Oleg Novosad
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