To express the speed of the supersonic jet, which is 130000 m/s, in the standard form, we write it as $1.3 \times 10^{a}$ m/s. The value of $a$ is _______ .

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Solution

The correct option is A 5
Given, Speed of the jet = 130000 m/s
We know, any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a power of 10. Such a form of a number is called its standard form.
$⟹ 130000 = 13 \times 10000 = 13 \times 10^{4} = 1.3 \times 10^{5}$
Therefore the standard form of 130000 is $1.3 \times 10^{5}$ .
Hence, $a = 5$ .

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