Question

Operations with Scientific Notation-(2.456•10 5)+(6.0034•10 8)

1. Determine the smallest power of 10.

10 5 is the smaller power of 10. That means that we have to decrease 10 8 to match 10 5 so we can add the bases together.

2. Decrease the larger power of 10 until it matches the smaller one found in Step 1.

We have to decrease the exponent on 10 8 by 3 in order for it to match 108 (8 − 5 = 3).

In order to do this, we will need to move the decimal point three spaces to the right: 6.0034•10 8=6003.4•10 5.

3. Add or subtract the new number factors and keep the power of 10.

(2.456•10 5) + (6003.4•10 5)
(2.456+6003.4) • 10 5
6005.856 • 10 5

4. Convert to scientific notation if needed.

6005.856 • 10 5 is not in scientific notation because the numerical factor is not a number greater than or equal to 1 and less than 10.

The decimal point must be moved three places to the left, so the exponent will increase to 8.

6005.856•10 5=6.005856•10 8

Answer 1

tell meh if you get it cuz I'm not the best at typing things