Subtract the first rational number from the second in each of the following-i- 38- -160-58-ii- -79- -160-49-iii- -211- -160-911-iv- 1113- -160-413-v- 14- -160-38-vi- -23- -160-56-vii- -67- -160-1314-viii- -833- -160-722

(i) #160;58 38=5 38=28=14(ii) #160;49–79=4 ( 7)9=4+79=119(iii) #160; 911–211=( 9) ( 2)11= 9+211= 711(iv) #160; 413 1113= 4 1113= 1513(v) #160; 38 14= ...

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Byju's Answer

Standard VIII

Mathematics

Addition of Negative Numbers

Subtract the ...

Question

Subtract the first rational number from the second in each of the following:
(i) $\frac{3}{8}, \frac{5}{8}$
(ii) $\frac{- 7}{9}, \frac{4}{9}$
(iii) $\frac{- 2}{11}, \frac{- 9}{11}$
(iv) $\frac{11}{13}, \frac{- 4}{13}$
(v) $\frac{1}{4}, \frac{- 3}{8}$
(vi) $\frac{- 2}{3}, \frac{5}{6}$
(vii) $\frac{- 6}{7}, \frac{- 13}{14}$
(viii) $\frac{- 8}{33}, \frac{- 7}{22}$

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Solution

$(i) \frac{5}{8} - \frac{3}{8} = \frac{5 - 3}{8} = \frac{2}{8} = \frac{1}{4} (ii) \frac{4}{9} - \frac{- 7}{9} = \frac{4 - (- 7)}{9} = \frac{4 + 7}{9} = \frac{11}{9} (iii) \frac{- 9}{11} - \frac{- 2}{11} = \frac{(- 9) - (- 2)}{11} = \frac{- 9 + 2}{11} = \frac{- 7}{11} (iv) \frac{- 4}{13} - \frac{11}{13} = \frac{- 4 - 11}{13} = \frac{- 15}{13} (v) \frac{- 3}{8} - \frac{1}{4} = \frac{- 3 - 2}{8} = \frac{- 5}{8} (vi) \frac{5}{6} - \frac{- 2}{3} = \frac{5}{6} - \frac{- 4}{6} = \frac{5 - (- 4)}{6} = \frac{5 + 4}{6} = \frac{9}{6} = \frac{3}{2} (vii) \frac{- 13}{14} - \frac{- 6}{7} = \frac{- 13 - (- 12)}{14} = \frac{- 13 + 12}{14} = \frac{- 1}{14} (viii) \frac{- 7}{22} - \frac{- 8}{33} = \frac{- 21}{66} - \frac{- 16}{66} = \frac{(- 21) - (- 16)}{66} = \frac{- 21 + 16}{66} = \frac{- 5}{66}$

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Similar questions

Q. Subtract the first rational number from the second in each of the following:
(i)

\frac{3}{8}, \frac{5}{8}

(ii)

\frac{- 7}{9}, \frac{4}{9}

(iii)

\frac{- 2}{11}, \frac{- 9}{11}

(iv)

\frac{11}{13}, \frac{- 4}{13}

(v)

\frac{1}{4}, \frac{- 3}{8}

(vi)

\frac{- 2}{3}, \frac{5}{6}

(vii)

\frac{- 6}{7}, \frac{- 13}{14}

(viii)

\frac{- 8}{33}, \frac{- 7}{22}

Q. Write each of the following rational numbers in standard form:

(i)

\frac{35}{49}

(ii)

\frac{8}{- 36}

(iii)

\frac{- 27}{45}

(iv)

\frac{- 14}{- 49}

(v)

\frac{91}{- 78}

(vi)

\frac{- 68}{119}

(vii)

\frac{- 87}{116}

(viii)

\frac{299}{- 161}

Q. Draw the number line and represent the following rational numbers on it:
(i)

\frac{2}{3}

(ii)

\frac{3}{4}

(iii)

\frac{3}{8}

(vi)

\frac{- 5}{8}

(v)

\frac{- 3}{16}

(vi)

\frac{- 7}{3}

(vii)

\frac{22}{- 7}

(viii)

\frac{- 31}{3}

Q. Write down the fractional number for each of the following:
(i)

\frac{2}{3}

(ii)

\frac{4}{9}

(iii)

\frac{2}{5}

(iv)

\frac{7}{10}

(v)

\frac{1}{3}

(vi)

\frac{3}{4}

(vii)

\frac{3}{8}

(viii)

\frac{9}{14}

(ix)

\frac{5}{11}

(x)

\frac{6}{15}

Q. Subtract the first integer from the second in each of the following:

(i) 12, −5
(ii) −12, 8
(iii) −225, −135
(iv) 1001, 101
(v) −812, 3126
(vi) 7560, −8
(vii) −3978, −4109
(viii) 0, −1005

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Subtract the first rational number from the second in each of the following: (i) 38, 58 (ii) -79, 49 (iii) -211, -911 (iv) 1113, -413 (v) 14, -38 (vi) -23, 56 (vii) -67, -1314 (viii) -833, -722

(i) 58-38=5-38=28=14(ii) 49--79=4-(-7)9=4+79=119(iii) -911--211=(-9)-(-2)11=-9+211=-711(iv) -413-1113=-4-1113=-1513(v) -38-14=-3-28=-58(vi) 56--23=56--46=5-(-4)6=5+46=96=32(vii) -1314--67=-13-(-12)14=-13+1214=-114(viii) -722--833=-2166--1666=(-21)-(-16)66=-21+1666=-566