Exercise 1 Page 356

We want to add two numbers that are written in scientific notation. (8.2* 10^2)+(3.41* 10^(- 1)) Notice that the exponent of 10 is different for both numbers. Therefore, to add the numbers we will need to first rewrite the first number as a multiple of 10^(- 1). To do so, we will use the Product of Powers Property.

Now, 10 has the same exponent in both numbers. To add the expressions, we can factor out 10^(- 1).

Recall that the first factor of a number written in scientific notation must be greater than or equal to 1 and less than 10. Therefore, we need to rewrite 8203.41 as the product of 8.20341 and 1000. Then, we can simplify.