.6 x 10 is 6, or more accurately, 6.0. When multipling, for every 0 following the 1 (ie 10 = 1 zero,100 = 2 zeroes,1000 = 3 zeroes etc, etc) move the decimal point one place right. It's the same if our 10's are written in scientific notation (ie 10 =1 x 10^1, 100 =1 x 10^2) ... the exponent represents zeroes. When dividing, you move the decimal point left for every zero.
For example, .6 divided by 10 = .06, .6 divided by 100 = .006 ... the decimal point is moving left, the zeroes between the decimal and the 6 are called place holders. What is .06 x 1,000 ? If you said 60, you are right, because the decimal has to move right three places. If you move the decimal point in .06 3 places ---> the answer is 60. Get it??
When you multiply anything by 10, if it has a decimal in it, you shift it to the right 1 place. So 0.6 becomes 06. which is just 6. Similarly, for example:
1.67 x 10 = 16.7
32.0 x 10 = 320
0.00004 x 10 = 0.0004