Math, asked by Krutika1080, 8 months ago

THE DECIMAL EXPANSION OF 33/4*5 WILL TERMINATE AFTER WHICH DECIMAL PLACES


rovik5682: hi

Answers

Answered by Sanskriti141
1

Answer:

The decimal expansion of 33/20 will terminate after 2 decimal places.

Step-by-step explanation:

  =  > \frac{33}{4 \times 5}  \\  \\  =  >  \frac{33}{2 \times 2 \times 5}  \\   \\ multiplying \: both \: numerator \: and \\ denominator \: by \: 5 , we \: get \: :  \:  \\  \\  =  >  \frac{33 \times 5}{2 \times 2 \times 5 \times 5}  \\  \\  =  >  \frac{165}{ {(2 \times 5)}^{2} }  \\  \\  =  >  \frac{165}{ {(10)}^{2} }  \\  \\  =  >  \frac{165}{100}  \\  \\  =  > 1.65

ANS) 2 Decimal Places

Thanks !!


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Answered by Nalindevu
0

Answer:

Answer:

The decimal expansion of 33/20 will terminate after 2 decimal places.

Step-by-step explanation:

\begin{lgathered}= > \frac{33}{4 \times 5} \\ \\ = > \frac{33}{2 \times 2 \times 5} \\ \\ multiplying \: both \: numerator \: and \\ denominator \: by \: 5 , we \: get \: : \: \\ \\ = > \frac{33 \times 5}{2 \times 2 \times 5 \times 5} \\ \\ = > \frac{165}{ {(2 \times 5)}^{2} } \\ \\ = > \frac{165}{ {(10)}^{2} } \\ \\ = > \frac{165}{100} \\ \\ = > 1.65\end{lgathered}

=>

4×5

33

=>

2×2×5

33

multiplyingbothnumeratorand

denominatorby5,weget:

=>

2×2×5×5

33×5

=>

(2×5)

2

165

=>

(Answer:

The decimal expansion of 33/20 will terminate after 2 decimal places.

Step-by-step explanation:

\begin{lgathered}= > \frac{33}{4 \times 5} \\ \\ = > \frac{33}{2 \times 2 \times 5} \\ \\ multiplying \: both \: numerator \: and \\ denominator \: by \: 5 , we \: get \: : \: \\ \\ = > \frac{33 \times 5}{2 \times 2 \times 5 \times 5} \\ \\ = > \frac{165}{ {(2 \times 5)}^{2} } \\ \\ = > \frac{165}{ {(10)}^{2} } \\ \\ = > \frac{165}{100} \\ \\ = > 1.65\end{lgathered}

=>

4×5

33

=>

2×2×5

33

multiplyingbothnumeratorand

denominatorby5,weget:

=>

2×2×5×5

33×5

=>

(2×5)

2

165

=>

(10)

2

165

=> 100

165

=>1.65

10)

2

165

=>

100

165

=>1.65

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