Question

What is the solution to ( 4 * 10^3 ) * ( 3 * 10^4 ) written in scientific notation?

a) 12 x 10^8
b) 1.2 x 10^7
c) 1.2 x 10^8
d) 12 x 10^7

Answer 1

Add together the powers.
3+4=7

Times the first numbers of the brackets together.
4*3=12

However, if written in standard form or scientific notation a number cannot be greater than 10. So divide it down:

12÷10= 1.2

Then multiply by 10. Then the number of powers which will be 7 (up above!)

The answer is: 1.2×10^8
=120000000

**you have to add another 1 on the end to balance the number of zeros.

Hope this helps!