$0.0000837 = 8.37 \times$ .

10^{4}

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10^{5}

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10^{- 4}

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10^{- 5}

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Solution

The correct option is D $10^{- 5}$
To convert 8.37 to 0.0000837, the decimal point has to be moved 5 places to the left.

That means, 8.37 has to be multiplied by $10^{- 5}$ to get 0.0000837.

In other words,
$0.0000837 = \frac{837}{10000000}$
$= \frac{837}{10^{7}}$
$= \frac{8.37 \times 10^{2}}{10^{7}}$
$= 8.37 \times 10^{- 5}$

(Using $\frac{a^{m}}{a^{n}} = a^{m - n})$

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Similar questions

Q. If

0.00000000837

8.37 \times 10^{- m}

, then

m

is equal to:

Q. The number

0.00000000837

in standard form is

8.37 \times 10^{m}

. Value of

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Q. To express the number 0.00000000837 in standard form- with what number should 8.37 be devided by

Q. To express the number 0.00000000837 8n the standard form -with what number should 8.37 be divided by ?

Fig.8.37 below shows a metal rod AB placed on an insulating stand. In Fig. (a), a negatively charged ebonite rod C is touched with the metal rod AB, while in Fig.(b), the negatively charged ebonite rod C is held near the rod AB. State the kind of charges at the ends A and B of the rod, in each case.

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0.0000837=8.37× .

The correct option is D 10−5To convert 8.37 to 0.0000837, the decimal point has to be moved 5 places to the left. That means, 8.37 has to be multiplied by 10−5 to get 0.0000837. In other words, 0.0000837=83710000000 =837107 =8.37×102107 =8.37×10−5 (Using aman=am−n)

$0.0000837 = 8.37 \times$ .