Question

Explain why the number 61.405 X 10^6 is not the correct scientific notation for the number 61,405,000. What is the correct scientific notation for this number?

Answer 1

The correct scientific notation for this number:

`61,405,000=6.1405* 10^(7)m/s`

Step-by-step explanation:

Scientific notation is defined as the notation in which a number is expressed in the decimal form. This means that the number is always written in the power of 10 form. The numerical digit lies between 0.1.... to 9.9.....

If the decimal is shifting to right side, the power of 10 is negative and if the decimal is shifting to left side, the power of 10 is positive.

We are given:

Given = 61,405,000 =
`61.405* 10^(6)m/s` (wrong)

The given scientific notation is incorrect because decimal should be present jut after single digit but here it is present after two digits.

Converting this into scientific notation, we get:

`\Rightarrow 61,405,000=6.1405* 10^(7)m/s`

As, the decimal point is shifting to left side, thus the power of 7 is positive.