The number has the block 123 repeating

MATHEMATICS · Single correct · CBSE · Mathematics · Number Systems · Number Systems

Problem

The number −5.123‾-5.\overline{123} has the block 123 repeating. Identify the smallest set among the following that contains this number. (a) Integers (Z)\text{Integers }(\mathbf{Z}) (b) Irrational numbers (I)\text{Irrational numbers }(\mathbf{I}) (c) Real numbers (R)\text{Real numbers }(\mathbf{R}) (d) Rational numbers (Q)\text{Rational numbers }(\mathbf{Q})

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