Identify the rational number that does not belong with the other three. Explain your reasoning -5/11, -1/2, -4/9, -7/3

Solution:

Given set of rational numbers -5/11, -1/2, -4/9, -7/3

-5/4 = -0.45454545….

-½ =-0.5

-4/9 = -0.44444….

-7/3 = -2.3333..

Terminating decimals certainly end after decimal point.

Non terminating decimals continue after decimal point and never end.

Out of the given numbers, -½ is terminating whereas the remaining ones are non terminating decimals

✦ Try This: Identify the rational number that does not belong with the other three. Explain your reasoning -5/3, -2/5, -4/9, -8/27

Given set of rational numbers -5/3, -2/5, -4/9, -8/27

-5/3 = -1.6666….

-2/5 = -0.4

-4/9 = -0.44444….

-8/27 = -0.296296296….

Thus -2/5 is a terminating decimal, whereas the other rational numbers are non-terminating ones. Thus -2/5 is the odd one out.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

NCERT Exemplar Class 8 Maths Chapter 1 Problem 113

Identify the rational number that does not belong with the other three. Explain your reasoning -5/11, -1/2, -4/9, -7/3

Summary:

The rational number that does not belong with the other three in -5/11, -1/2, -4/9, -7/3 is -1/2 as it is a terminating decimal, whereas the others are non-terminating decimals

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