scientific notation

Question

(4.2x 10^4) (4x10^5)

Answer 1

(4.2 x 10^4) (4 x 10^5)
= 4.2 x 4 x 10^(4 + 5)
= 16.8 x 10^9
= 1.68 x 10 x 10^9
= 1.68 x 10^10

Answer 2

scientific notation of 3050

Answer 3

how do you make 345.1

Answer 4

How do you convert 6 to a scientific notation?

Answer 5

SCIENTIFIC NOTATION RULES

 

RULE #1:  Standard Scientific Notation is a number from 1 to 9 followed by a decimal and the remaining significant figures and an exponent of 10 to hold place value.

 

Example: 

5.43   x   10²   =   5.43   x   100   =  543

            8.65   x   10 ^{– 3}  =  8.65   x   .001   =   0.00865

            ****54.3   x   10¹  is not Standard Scientific Notation!!!              

 

RULE #2:  When the decimal is moved to the Left the exponent gets Larger, but the value of the number stays the same.  Each place the decimal moves Changes the exponent by one (1).  If you move the decimal to the Right it makes the exponent smaller by one (1) for each place it is moved.

 

Example: 

6000.   x   10⁰   =   600.0   x    10¹   =   60.00  x  10²  =  6.000  x  10³  =  6000

(Note:  10⁰  =  1)

 

All the previous numbers are equal, but only 6.000 x 10³ is in proper Scientific Notation.

 

RULE #3:  To add/subtract in scientific notation, the exponents must first be the same.   

           

Example:

(3.0            x  10²) + (6.4  x  10³);  since 6.4  x  10³ is equal to 64.  x  10².  Now add.

 

          (3.0  x  10²)

     + (64.    x  10²)

          67.0  x  10²    =  6.70 x  10³   =   6.7  x  10 ³

           

q       67.0  x  10² is mathematically correct, but a number in standard scientific notation can only have one number to the left of the decimal, so the decimal is moved to the left one place and one is added to the exponent.

q       Following the rules for significant figures, the answer becomes 6.7  x  10³.

 

RULE #4:  To multiply, find the product of the numbers, then add the exponents.

 

Example: 

            (2.4 x 10²) (5.5 x 10 ^–4)  =  ?  [2.4 x 5.5 = 13.2];  [2 + -4 = -2], so

            (2.4 x 10²) (5.5 x 10 ^–4)  =  13.2 x 10 ^–2  =   1.3  x  10 ^{– 1}                                            

 

RULE #5:  To divide, find the quotient of the number and subtract the exponents.

 

Example:

            (3.3  x  10 ^{– 6}) / (9.1 x 10 ^{– 8})  =  ?  [3.3 / 9.1 = .36];  [-6 – (-8) =  2], so

            (3.3  x  10 ^{– 6}) / (9.1 x 10 ^{– 8})  =   .36  x  10²  =  3.6  x  10 ¹

Answer 6

what is the scientific notation of 100,000