Write the following rational numbers according to convention-1 5-12 -5-13 2-94 -2-95 0-46 11-8

According to convention, we write the denominator as a positive number. (1) 5 1 = 51 (2) 5 1 =51 (3) 2 9 = 29 (4) 2 9 =29 (5) 0 4 = 04 (6) 11 8 = 11 ...

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Standard VII

Mathematics

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Write the fol...

Question

Write the following rational numbers according to convention.

(1) $\frac{5}{- 1}$
(2) $\frac{- 5}{- 1}$
(3) $\frac{2}{- 9}$
(4) $\frac{- 2}{- 9}$
(5) $\frac{0}{- 4}$
(6) $\frac{11}{- 8}$

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Solution

According to convention, we write the denominator as a positive number.
(1) $\frac{5}{- 1}$

$= \frac{- 5}{1}$

(2) $\frac{- 5}{- 1}$

$= \frac{5}{1}$

(3) $\frac{2}{- 9}$

$= \frac{- 2}{9}$

(4) $\frac{- 2}{- 9}$
$= \frac{2}{9}$

(5) $\frac{0}{- 4}$

$= \frac{- 0}{4}$

(6) $\frac{11}{- 8}$

$= \frac{- 11}{8}$

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Similar questions

Q. Write the following numbers in words.

(1) −9
(2) +5
(3) −28
(4) −100
(5) +81
(6) −4
(7) −1
(8) +1
(9) +72
(10) −48
(11) +65
(12) −95

Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:

(i) $\frac{2}{5} + \frac{7}{3} + \frac{- 4}{5} + \frac{- 1}{3}$

(ii) $\frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9}$

(iii) $\frac{2}{5} + \frac{8}{3} + \frac{- 11}{15} + \frac{4}{5} + \frac{- 2}{3}$

(iv) $\frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{21}$

Q. Compare the following numbers.
(1) −7, −2

(2) 0,

\frac{- 9}{5}

(3)

\frac{8}{7}

, 0

(4)

\frac{- 5}{4}

\frac{1}{4}

(5)

\frac{40}{29}

\frac{141}{29}

(6) −

\frac{17}{20}

\frac{- 13}{20}

(7)

\frac{15}{12}

\frac{7}{16}

(8)

\frac{- 25}{8}

\frac{- 9}{4}

(9)

\frac{12}{15}

\frac{3}{5}

(10)

\frac{- 7}{11}

\frac{- 3}{4}

Q. Write the additive inverse of each of the following rational numbers:

\frac{4}{9}

;

\frac{- 13}{7}

;

\frac{5}{- 11}

;

\frac{- 11}{- 14}

Q. Write four more rational numbers in each of the following patterns:
(i)

\frac{- 3}{5}, \frac{- 6}{10}, \frac{- 9}{15}, \frac{- 12}{20}, . . .

(ii)

\frac{- 1}{4}, \frac{- 2}{8}, \frac{- 3}{12}, . . .

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Write the following rational numbers according to convention. (1) 5-1 (2) -5-1 (3) 2-9 (4) -2-9 (5) 0-4 (6) 11-8

According to convention, we write the denominator as a positive number. (1) 5-1 =-51 (2) -5-1 =51 (3) 2-9 =-29 (4) -2-9 =29 (5) 0-4 =-04 (6) 11-8 =-118

Write the following rational numbers according to convention.

(1) $\frac{5}{- 1}$
(2) $\frac{- 5}{- 1}$
(3) $\frac{2}{- 9}$
(4) $\frac{- 2}{- 9}$
(5) $\frac{0}{- 4}$
(6) $\frac{11}{- 8}$