-5-3and-5-3lie on opposite sides of zero on the number line-

We have, 5/3 is a negative rational number.and 5/ 3= 5× ( 1)/ 3× ( 1)=5/3 is a positive rational number.Since positive and negative rational numbers are on the ...

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Byju's Answer

Standard VI

Mathematics

Identifying Shaded Fractions

-5/3and-5/-3l...

Question

$\frac{- 5}{3} a n d \frac{- 5}{- 3}$ lie on opposite sides of zero on the number line.

True

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False

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Solution

The correct option is A True
We have,
$\frac{- 5}{3}$ is a negative rational number.
and $\frac{- 5}{- 3} = \frac{- 5 \times (- 1)}{- 3 \times (- 1)} = \frac{5}{3}$ is a positive rational number.
Since positive and negative rational numbers are on the opposite side of a number line.
Hence,
$\frac{- 5}{3} a n d \frac{- 5}{- 3}$ lie on opposite sides of zero on the number line.
Hence, the above statement is true.

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Similar questions

Q. Which of the following statements are true:
(i) The rational number

\frac{29}{23}

lies to the left of zero on the number line.
(ii) The rational number

\frac{- 12}{- 17}

lies to the left of zero on the number line.
(iii) The rational number

\frac{3}{4}

lies to the right of zero on the number line.
(iv) The rational numbers

\frac{- 12}{- 5} and \frac{- 7}{17}

are on the opposite side of zero on the number line.
(v) The rational numbers

\frac{- 21}{- 5} and \frac{7}{- 31}

are on the opposite side of zero on the number line.
(vi) The rational number

\frac{- 3}{- 5}

is one the right of

\frac{- 4}{7}

on the number line.

Which of the following statements are true or false?
(i) $- \frac{3}{5}$ lies to the left of O on the number line.
(ii) $\frac{- 12}{7}$ lies to the right of O on the number line.
(iii) The rational numbers $\frac{1}{3}$ and $\frac{- 5}{2}$ are on opposite sides of O on the number line.
(iv) The rational number $\frac{- 18}{- 13}$ lies to the left of O on the number line.

Q. Which of the following statements are true?

(i)

\frac{- 3}{5}

lies to the left of 0 on the number line.
(ii)

\frac{- 12}{7}

lies to the right of 0 on the number line.
(iii)

\frac{1}{3} and \frac{- 5}{2}

lie on opposite sides of 0 on the number line.
(iv)

\frac{- 18}{- 13}

lies to the left of 0 on the number line.
(v)

\frac{- 5}{- 8}

lies on the right of

\frac{- 5}{7}

on the number line.

Q. Question 98
The rational numbers

\frac{1}{2}

and

- \frac{5}{2}

are on the opposite sides of zero on the number line.

(a) $\frac{22}{7}$ is a rational number but $π$ is an irrational number. Comment on this.

(b) Do the numbers $\frac{1}{3}$ and $\frac{- 5}{2}$ lie on the opposite sides of 0 on the number line?

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-53and-5-3lie on opposite sides of zero on the number line.

$\frac{- 5}{3} a n d \frac{- 5}{- 3}$ lie on opposite sides of zero on the number line.