Divide- i-3-by-1-3- ii-2-by-1-2 - iii-0-by-7-9- iv-5-8by1-4- v-3-4-by-9-16

(i) 3 by 1/3 =3÷1/3=3×3/1=9 (ii) 2 by( 1/2 ) = 2÷( 1/2 ) = 2×2/ 1=4 (iii) 0 by 7/ 9 =0÷7/ 9 =0× 9/7=0 (iv) 5/8by1/4 = 5/8÷1/4 = 5/8×4/1 = 5×1/2×1= ...

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Byju's Answer

Standard VII

Mathematics

Multiplication and Division of Rational Numbers

Divide: i 3 b...

Question

$Divide : (i) 3 ~ b y \frac{1}{3} (i i) - 2 ~ b y (- \frac{1}{2}) (i i i) 0 by \frac{7}{- 9} (i v) \frac{- 5}{8} by \frac{1}{4} (v) - \frac{3}{4} by - \frac{9}{16}$

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Solution

$(i) 3 ~ b y \frac{1}{3} = 3 \div \frac{1}{3} = 3 \times \frac{3}{1} = 9 (i i) - 2 ~ b y (- \frac{1}{2}) = - 2 \div (- \frac{1}{2}) = - 2 \times \frac{2}{- 1} = 4 (i i i) 0 by \frac{7}{- 9} = 0 \div \frac{7}{- 9} = 0 \times \frac{- 9}{7} = 0 (i v) \frac{- 5}{8} by \frac{1}{4} = \frac{- 5}{8} \div \frac{1}{4} = \frac{- 5}{8} \times \frac{4}{1} = \frac{- 5 \times 1}{2 \times 1} = \frac{- 5}{2} (v) - \frac{3}{4} by - \frac{9}{16} = - \frac{3}{4} \div - \frac{9}{16} = - \frac{3}{4} \times - \frac{16}{9} = \frac{(- 1) \times 4}{1 \times (- 3)} = \frac{- 4}{- 3} = \frac{4}{3} = 1 \frac{1}{3}$

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Similar questions

Q. Divide:
(i)

1 by \frac{1}{2}

(ii)

5 by \frac{- 5}{7}

(iii)

\frac{- 3}{4} by \frac{9}{- 16}

(iv)

\frac{- 7}{8} by \frac{- 21}{16}

(v)

\frac{7}{- 4} by \frac{63}{64}

(vi)

0 by \frac{- 7}{5}

(vii)

\frac{- 3}{4} by - 6

(viii)

\frac{2}{3} by \frac{- 7}{12}

Q. Divide:
(i)

1 by \frac{1}{2}

(ii)

5 by \frac{- 5}{7}

(iii)

\frac{- 3}{4} by \frac{9}{- 16}

(iv)

\frac{- 7}{8} by \frac{- 21}{16}

(v)

\frac{7}{- 4} by \frac{63}{64}

(vi)

0 by \frac{- 7}{5}

(vii)

\frac{- 3}{4} by - 6

(viii)

\frac{2}{3} by \frac{- 7}{12}

(ix)

- 4 by \frac{- 3}{5}

(x)

\frac{- 3}{13} by \frac{- 4}{65}

Q. Study the following number line and answer the questions that follow.
2 5 9 1 7 2 5 1 9 7 3 9 5 2 4 6 8 1 9 7 5 2 7 3 1 9 7 8 5 2 6 5 4 1 9 7 8 2 0 1 0 9 7 8 5 1 9 7 3 5 1 6 9 7 2 1 7 3 7 9 5 1

How many times is number 9 preceded by 1 and succeeded by 7 which is not followed by 5 ?

Q. Study the following number line and answer the questions that follow.
2 5 9 1 7 2 5 1 9 7 3 9 5 2 4 6 8 1 9 7 5 2 7 3 1 9 7 8 5 2 6 5 4 1 9 7 8 2 0 1 0 9 7 8 5 1 9 7 3 5 1 6 9 7 2 1 7 3 7 9 5 1

How many times is number '3' preceded by number '7' and not followed by an even number?

Evaluate : $(i) \frac{5}{9} + \frac{- 7}{6} (i i) 4 + \frac{3}{- 5} (i i i) \frac{1}{- 15} + \frac{5}{- 12} (i v) \frac{5}{9} + \frac{3}{- 4} (v) \frac{- 8}{9} + \frac{- 5}{12} (v i) 0 + \frac{- 2}{7} (v i i) \frac{5}{- 11} + 0 (v i i i) 2 + \frac{- 3}{5} (i x) \frac{4}{- 9} + 1$

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Divide:(i) 3~by 13(ii) −2~by(−12)(iii) 0 by 7−9(iv) −58by14(v) −34 by −916

(i) 3~by 13=3÷13=3×31=9(ii) −2~by(−12)=−2÷(−12)=−2×2−1=4(iii) 0 by 7−9=0÷7−9=0×−97=0(iv) −58by14=−58÷14=−58×41=−5×12×1=−52(v) −34 by −916=−34÷−916=−34×−169=(−1)×41×(−3)=−4−3=43=113

$Divide : (i) 3 ~ b y \frac{1}{3} (i i) - 2 ~ b y (- \frac{1}{2}) (i i i) 0 by \frac{7}{- 9} (i v) \frac{- 5}{8} by \frac{1}{4} (v) - \frac{3}{4} by - \frac{9}{16}$