How do you simplify and write #(1.25 times 10^6) + (250 times 10^3)# in standard notation?

1 Answer
Jun 15, 2017

Answer:

See a solution process below:

Explanation:

To add these two terms we need to convert to a common factor for the 10s terms.

We can rewrite #(1.25 xx 10^6)# if we move the decimal point 3 places to the right we can subtract #3# from the exponent of the 10s term:

#1.25 xx 10^6 = 1250 xx 10^3#

We can now rewrite the entire expression:

#(1250 xx 10^3) + (250 xx 10^3)#

Next we can factor #10^3# out of each term in parenthesis:

#(1250 + 250)10^3 => 1500 xx 10^3#

To rewrite this in standard scientific notation we can move the decimal point 3 places to the left and add #3# to the exponent of the 10s term:

#1500 xx 10^3 => 1.5 xx 10^6#

Or to rewrite this in standard notation we need to move the decimal point 3 places to the right:

#1500 xx 10^3 => 1,500,000#