Fill in the blank- -13 - - -43 - 37 - - - -13 - - - - 37

The correct option is D 43 Addition is associative for rational numbersi.e. a + (b + c) = (a + b) + c ∴ ( 13 ) + [ ( 43 ) + 37 ] = [ ( 13 ) + ...

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Byju's Answer

Standard VIII

Mathematics

Associative Property of Rational Numbers

Fill in the b...

Question

Fill in the blank: $(- \frac{1}{3}) + [(\frac{- 4}{3}) + \frac{3}{7}] = [(\frac{- 1}{3}) + . . . . .] + \frac{3}{7}$

\frac{- 1}{3}

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\frac{- 4}{3}

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\frac{3}{7}

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\frac{- 3}{7}

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Solution

The correct option is D $\frac{- 4}{3}$
Addition is associative for rational numbers
i.e. $a + (b + c) = (a + b) + c$
$∴ (- \frac{1}{3}) + [(\frac{- 4}{3}) + \frac{3}{7}] = [(\frac{- 1}{3}) + (\frac{- 4}{3})] + \frac{3}{7}$

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Similar questions

Q. Given below are the steps to simplify the following expression:

[-

\frac{1}{7}

× -

\frac{4}{3}

] x (-7) ×

\frac{3}{2}

Step 1: (-7) × [-

\frac{1}{7}

× -

\frac{4}{3}

] ×

\frac{3}{2}

Step 2: [-7 × -

\frac{1}{7}

] × (-

\frac{4}{3}

) × (

\frac{3}{2}

)

Step 3: 1 × (-

\frac{4}{3}

) × (

\frac{3}{2}

)

Which solution step represents the property of 'multiplicative inverse'?

Simplify:

(a)

\frac{2}{3} + \frac{1}{7}

(b)

\frac{3}{10} + \frac{7}{15}

(c)

\frac{4}{9} + \frac{2}{7}

(d)

\frac{5}{7} + \frac{1}{3}

(e)

\frac{4}{5} + \frac{2}{3}

(f)

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

(g)

\frac{5}{6} - \frac{1}{3}

Question 22

Which of the following is an example of distributive property of multiplication over addition for rational numbers.
(a) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = [- \frac{1}{4} \times \frac{2}{3}] + [- \frac{1}{4} \times (\frac{- 4}{7})]$
(b) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = [\frac{1}{4} \times \frac{2}{3}] - (\frac{- 4}{7})$
(c) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = \frac{2}{3} + (- \frac{1}{4}) \times \frac{- 4}{7}$
(d) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = {\frac{2}{3} + (\frac{- 4}{7})} - \frac{1}{4}$

Q. Simplify :

\frac{2 \frac{3}{4}}{1 \frac{5}{6}} \div \frac{7}{8} \times (\frac{1}{3} + \frac{1}{4}) + \frac{5}{7} \div \frac{3}{4}

\frac{3}{7}

-1/2+ [(-4/3)+3/7] and [(-1/2)+3/7]+(-4/3)

are there same

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Fill in the blank: (−13)+[(−43)+37]=[(−13)+.....]+37

The correct option is D −43Addition is associative for rational numbersi.e. a+(b+c)=(a+b)+c∴(−13)+[(−43)+37]=[(−13)+(−43)]+37

Fill in the blank: $(- \frac{1}{3}) + [(\frac{- 4}{3}) + \frac{3}{7}] = [(\frac{- 1}{3}) + . . . . .] + \frac{3}{7}$

The correct option is D $\frac{- 4}{3}$
Addition is associative for rational numbers
i.e. $a + (b + c) = (a + b) + c$
$∴ (- \frac{1}{3}) + [(\frac{- 4}{3}) + \frac{3}{7}] = [(\frac{- 1}{3}) + (\frac{- 4}{3})] + \frac{3}{7}$