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Pluto is 59,1,30,00, 000 m from the sun. Express this in the standard form.

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5.913 × 109

5.913 × 108

5.913 × 107

5.913 × 105

answer is A.

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Detailed Solution

It is given that Pluto is 59,1,30,00, 000 m from the sun.
In exponents the standard form of a number is written as a decimal number between and, multiplied by power of 10.
Elaborating 59,1,30,00,000 we get,

⇒ 59, 1, 30, 00, 000 = 5913 × 1000000

exponential form is as follows

⇒ 59, 1, 30, 00, 000 = 5913 × 106

standard form is

⇒ 5.913 × 1000 × 106

⇒ 5.913 × 103 × 106

Using the exponent law,

a m × a n = a m + n

⇒ 5.913 × 10 3 + 6 = 5.913 × 109

Therefore, the standard form of 59,1,30,00,000 is

5.913 × 109

.
Hence option (1) is correct.

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