How do u write 0.000387 in scientific notation. and how do u write 8.69 x 10 to the eleventh power in standard form

The scientific notation for 0.000387 is 3.87 × 10⁻⁴.

Solution:

Most commonly the base or the 0.000387 is written as a number with just one digit to the left of the decimal. To format your number in this way, we'll multiply the 0.000387 by 10, 4 time(s), making it a 3.87.

We do this, because each multiplication by 10 moves the decimal point to the right one digit. But in order to keep our number the same number, we must have a × 10⁻⁴ next to the 3.87.

So, the final answer is 3.87 × 10⁻⁴.

The standard form of 8.69 x 10¹¹ is 869,000,000,000.

Solution:

To convert 8.69 into regular format, move the decimal point to the right 11 places. Why? Because that's what × 10¹¹ means: multiply by a 1 with 11 zero(s) after it. And, with each zero in a multiplication, the decimal moves to the right 1 place.

Since this number only has 2 places after the decimal, we'll have to add 9 zeros to the end of it until the decimal point is moved 11 places to the right.

So 8.69 × 10¹¹ written in regular notation is 869,000,000,000.

Tip! Use this online tool to convert between regular decimals and scientific notation shared by Webmath.com.

Wednesday, August 31 2016


Source: http://www.webmath.com/sn_convert.html

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