Write -39-T -39- for true and -39-F -39- for false for each of the following-i- -15-11 lies to the left of 0 on the number line-ii- 13 -160-and -160-32 lie on opposite side of 0 on the number line-iii- -813 lies to the left of 0 on the number line-iv- -45 -62-23-v- -35 is the largest among -37-710 -160-and -160-56-

(i)False. #160;This #160;is #160;because #160; #8722;15 #8722;11=1511, #160;which #160;lies #160;to #160;the #160;right #160;of #160;0 ...

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Byju's Answer

Standard VII

Mathematics

Introduction to Integers

Write #39;...

Question

Write 'T' for true and 'F' for false for each of the following:

(i) $\frac{- 15}{- 11}$ lies to the left of 0 on the number line.
(ii) $\frac{1}{3} and \frac{- 3}{2}$ lie on opposite side of 0 on the number line.
(iii) $\frac{- 8}{13}$ lies to the left of 0 on the number line.
(iv) $\frac{- 4}{5} > \frac{- 2}{3}$ .
(v) $\frac{- 3}{5}$ is the largest among $\frac{- 3}{7}, \frac{- 7}{10} and \frac{- 5}{6}$ .

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Solution

$\begin{array}{l} (i) False. This is because \frac{- 15}{- 11} = \frac{15}{11}, which lies to the right of 0 . \\ (ii) True \\ (iii) True \\ (iv) False \\ L . C . M . of 5 and 3 is 15 . \\ \begin{array}{l} We know: \frac{- 4 \times 3}{5 \times 3} = \frac{- 12}{15} and \frac{- 2 \times 5}{5 \times 3} = \frac{- 10}{15} \\ ∴ \frac{- 4}{5} < \frac{- 2}{5} \\ (v) True \\ L.C.M. of 5, 10 a n d 6 is 3 0 . \\ ∴ \frac{- 3 \times 6}{5 \times 6} = \frac{- 18}{30}, \frac{- 7 \times 3}{10 \times 3} = \frac{- 21}{30} and \frac{- 5 \times 5}{6 \times 5} = \frac{- 25}{30} \end{array} \\ ∴ \frac{- 3}{5} is the largest among the given fractions. \end{array}$

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Similar questions

Q. Write 'T' for true and 'F' for false for each of the following:

(i)

\frac{- 15}{- 11}

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

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

lie on opposite side of 0 on the number line.
(iii)

\frac{- 8}{13}

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

\frac{- 4}{5} > \frac{- 2}{3}

.
(v)

\frac{- 3}{5}

is the largest among

\frac{- 3}{7}, \frac{- 7}{10} and \frac{- 5}{6}

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. Which of the following statements are true and which are false?
(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) The rational numbers

\frac{1}{3}

and

\frac{- 5}{2}

are on opposite sides of 0 on the number line.
(iv) The rational number

\frac{- 18}{- 13}

lies to the left of 0 on the number line.

Q. Write 'T' for true and 'F' for false in each of the following:
(i) 0 is neither positive nor negative.
(ii) −(−36) − 1 = − 37.
(iii) On the number line −10 lies to the right of −6.
(iv) 0 is an integer.
(v) −|−15| = −15.
(vi) |−40| + 40 = 0.

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.

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Write 'T' for true and 'F' for false for each of the following: (i) -15-11 lies to the left of 0 on the number line. (ii) 13 and -32 lie on opposite side of 0 on the number line. (iii) -813 lies to the left of 0 on the number line. (iv) -45>-23. (v) -35 is the largest among -37,-710 and -56.