Multiply and write the answer without expontents.

Question

(4x10^2)x(2x10^3)=

Answer 1

There is a few ways to go about this. The way I think about it is to use the commutative and associative properties and set it up to read

(4x2)x(10²x10³)=? Using your Order of Operations (PEMDAS) from here on out,  along with the rule about adding exponents with a common base... 

(8)x(10^(2+3))=? Still not done, and we actually created an extra set of parenthesis. Lets remove them this round and clean it up some. 

8x10^5=? It looks much better, and now you can easily expand your equation out. A rule of thumb about "10^__" is that you move the decimal place that many places over. + numbers the decimal moves right, negative... it moves left.

8x100,000=800,000. Hopefully this helps. Good luck!!

 

Answer 2

4 * 10² * 2* 10³

same as:

4 * 100 * 2 * 1000

4 * 2 * 100 * 1000

8 * 100000

800000

 

Answer 3

Remember that

(4*10²)*(2*10³) = (4*2)*(10²*10³)

When you multiply exponents they are added together so the problem becomes

8*10⁽²⁺³⁾ = 8*10⁵ = 800000

In fact, if you notice the other two numbers are powers of the base 2 so the problem can actually be thought of like this:

(2²*10²)*(2¹*10³) = 2⁽²⁺¹⁾*10⁽²⁺³⁾ = 2³*10⁵ = 8*100000 = 800000