The value of 1 - 4 - 1 - 4 - 5 - 1 - 4 - 5 - 6 correct to 4 decimal places is-

The correct option is C 0.3083 1 / 4 + #160; 1 / 4× 5 + #160; 1 / 4× 5× 6 = #160; 1 / 4 ( 1 + #160; 1 / 5 + #160; 1 / 30 #160;) ...

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Standard VII

Mathematics

Writing Rational Numbers as Decimals

The value of ...

Question

The value of $\frac{1}{4} + \frac{1}{4 \times 5} + \frac{1}{4 \times 5 \times 6}$ correct to 4 decimal places is?

0.3075

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0.3082

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0.3083

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0.3085

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Solution

The correct option is C $0.3083$
$\frac{1}{4} + \frac{1}{4 \times 5} + \frac{1}{4 \times 5 \times 6}$

$= \frac{1}{4} (1 + \frac{1}{5} + \frac{1}{30})$

$= \frac{1}{4} (\frac{30 + 6 + 1}{30})$

$= \frac{1}{4} \times \frac{37}{30}$

$= \frac{37}{12} \times \frac{1}{10}$

$= 3.083 \times \frac{1}{10}$

$= 0.3083$

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The value of 14+14×5+14×5×6 correct to 4 decimal places is?

The correct option is C 0.308314+14×5+14×5×6=14(1+15+130)=14(30+6+130)=14×3730=3712×110=3.083×110=0.3083

The value of $\frac{1}{4} + \frac{1}{4 \times 5} + \frac{1}{4 \times 5 \times 6}$ correct to 4 decimal places is?