Are the following expressions true: (a) 713<38 (b) The rationa

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Question

Are the following expressions true:
(a)

\frac{7}{13} < \frac{3}{8}

(b) The rational number

\frac{- 18}{- 13}

lies to the left of 0 on the number line.
[2 MARKS]

Answer:
:
Each part: 1 Mark
(a) Converting both numbers with common denominator:

\frac{7 \times 8}{13 \times 8} a n d \frac{3 \times 13}{8 \times 13}

The numbers are

\frac{56}{104}

and

\frac{39}{104}

.
Hence, the expression is false.
(b)

\frac{- 18}{- 13} = \frac{18}{13}

, which is a positive number. Therefore the number lies to the right of 0 on the number line.
Hence the given statement was not true.

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