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Question

Write in scientific notation 

10,000 * 0.061

Answer 1

Hi Shatoria,

 

   
Write in scientific notation
10,000 * 0.061

 

To write in scientific notation, follow the form  N x 10^a

where N is an integer from 1 through 9,  and a is an integer (positive or negative number).

 

To write 10,000 in scientific notation, start with the decimal point.  Because 10,000 is a whole number the decimal is understood to be after the last zero--10,000.

Now move the decimal point to the left until only one digit is left--  1.0000 

Since the decimal point was moved 4 places to the left a=4; the number in scientific notation is

1.0 x 10⁴

 

0.061     

For decimals, move the decimal point to the right until only one digit remains to the left of the decimal point.

In this case, the decimal points will move 2 places to the right--  006.1

The a=-2

So scientific notation is 6.1 x 10^-2

 

We have (1.0 x 10⁴)(6.1 x 10^-2)

 

To multiply two numbers expressed in scientific notation,
simply multiply the numbers out front and add the exponents.
Generically speaking, this process is expressed as:

(N x 10^a) • (M x 10^b) = (N · M) x 10^a+b

 

 

(1.0 x 10⁴)(6.1 x 10^-2)

(1.0 ^. 6.1) x 10^4+-2

 

6.1 x 10²

 

We're finished

 

Answer 2

Multiplying by ten thousand will have the effect on the decimal number, MOVING ITS DECIMAL PLACE 4 TO THE RIGHT, giving 610.