3.2 x 104 + 1.95 x 106 show your work

Answer 1

To add 3.2 x 10^4 and 1.95 x 10^6, we need to make the exponents of both numbers the same.

First, we can rewrite 3.2 x 10^4 as 32 x 10^3, since moving the decimal one place to the left decreases the exponent by one.

Now we have:

32 x 10^3 + 1.95 x 10^6

Since 10^3 is smaller than 10^6 by 3 units, we can add zeros to fill in the missing thousands:

32 x 10^6 + 1.95 x 10^6

Now the exponents are the same, so we can add the coefficients:

(32 + 1.95) x 10^6

The sum of 32 and 1.95 is 33.95, so the expression simplifies to:

33.95 x 10^6.

This can also be written as:

3.395 x 10^7.