Question

6.141873857x20^10 in scientific notation (round to two digits after the decimal.

Answer 1

A number is written in scientific notation if it is represented as a power of 10 times a decimal representation of a number, in the form:

`a\cdot10^b`

Notice that the number:

`6.141873857\cdot20^(10)`

May be rewritten using the laws of exponents as:

`\begin{gathered} 6.141873857\cdot(20)^(10) \\ =6.141873857\cdot(2\cdot10)^(10) \\ =6.141873857\cdot2^(10)\cdot10^(10) \end{gathered}`

Use a calculator to find the value of 6.141873857*2^10:

`\begin{gathered} (6.141873857\cdot2^(10))\cdot10^(10) \\ =6289.27883\cdot10^(10) \end{gathered}`

Move the decimal point three places to the left:

`\begin{gathered} 6289.27883\cdot10^(10) \\ =6.28927883\cdot10^(13) \end{gathered}`

Round the number up to 2 digits after the decimal:

`6.29\cdot10^(13)`