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

1 Answer
smendyka
Dec 24, 2016

0.00710.0071

Explanation:

In this problem the standard term is color(red)(10^-3)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) ->(2.5×10−3)+(4.6×10−3)→(2.5+4.6)×10−3→

7.1 xx color(red)(10^-3)7.1×10−3

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) -> 0.00717.1×10−3→0.0071

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