52.1k views
5 votes
(4x10^4) x (2x10^3) in standard form

User Exia
by
6.0k points

2 Answers

3 votes
40,000 x 2,000
(4x10,000) x (2x1,000)
The answer is 80,000,000
User Saurabh Mahajan
by
6.3k points
3 votes
Hey Ferne!
Multiplication is commutative and associative, so let's regroup these numbers so they're easier to multiply.


\rm (4*10^4)*(2*10^3)=(4*2)*(10^4*10^3)

Apply your exponent rule to the powers of 10, adding the exponents together, and multiply the 4 and 2,


\rm =(8)*(10^(4+3))

We can drop the brackets as a final step,


\rm =8*10^7

Hope that helps!
User Mhellmeier
by
5.9k points