Divide 293 by 10,00,000 and express the result in standard form.

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2.93 × 10 − 4

2.93 × 105

2.93 × 10 − 5

2.93 × 104

answer is A.

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Detailed Solution

It is given to divide 293 by 10,00,000.
In exponents the standard form of a number is written as a decimal number between and, multiplied by power of 10.
in exponent form, 10,00,000

⇒ 10, 00, 000 = 106

Dividing

and apply

1 x m = x − m

results in,

⇒ 293106 = 293 × 10 − 6

The standard form of above expression is as follows

⇒ 293106 = 293 × 100100 × 10 − 6

⇒ 2.93 × 100 × 10 − 6

⇒ 2.93 × 102 × 10 − 6

Using law of exponent

x m × x n = x m + n

⇒ 2.93 × 10 2 + (− 6)

⇒ 2.93 × 10 2 − 6

⇒ 2.93 × 10 − 4

Thus, the final answer is

293106 = 2.93 × 10 − 4

. Hence option (1) is correct.

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