5.3 Let A, B, and represent the numbers 0, 4, and -6, respectively, on the number line. Points L, M, and N are between A and B such that AL = LM = MN = NB. What are the rational numbers represented by the points L, M, and N? Next, choose a point between C and A so that CO - OA. Which rational number does O represent?
Answers
Q. Let A, B, and represent the numbers 0, 4, and -6, respectively, on the number line. Points L, M, and N are between A and B such that AL = LM = MN = NB. What are the rational numbers represented by the points L, M, and N? Next, choose a point between C and A so that CO = OA. Which rational number does O represent?
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Given: A, B and C represent the numbers 0, 4, and -6 respectively on the number line.
Points L, M, and N are between A and B such that AL = LM = MN = NB
a point O between C and A so that CO = OA.
To Find: the rational numbers represented by the points L, M, and N
Which rational number does O represent
Solution:
A = 0
B = 4
AL = LM = MN = NB
AL + LM + MN + NB = AB
=> AL = LM = MN = NB = 1
AL = 1 , AM = 2 , AN = 3 , AB = 4
L = 1 , M = 2 , N = 3
L represent rational number 1
M represent rational number 2
N represent rational number 3
A = 0 , C = -6
CO = OA
=> O = - 3
O represent rational number -3
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