How do you simplify and write $(2.5 times 10^-3) + (4.6 times 10^-3)$ in standard notation?

Question

2782 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-24T18:20:59

$0.0071$

In this problem the standard term is $color(red)(10^-3)$ .

We can factor this term to simplify the problem:

$(2.5 xx color(red)(10^-3)) + (4.6 xx color(red)(10^-3)) -> (2.5 + 4.6) xx color(red)(10^-3) ->$

$7.1 xx color(red)(10^-3)$

Because the exponent for the 10's term is negative we must move the decimal point 3 places to the left to write this in standard notation:

$7.1 xx color(red)(10^-3) -> 0.0071$

How do you simplify and write (2.5 times 10^-3) + (4.6 times 10^-3)(2.5 times 10^-3) + (4.6 times 10^-3) in standard notation?