Question

An empty dump truck weighs about 2.8×10 to the power of 5 pounds. How much does it weigh if 15,300 pounds of trash is added? The answer should be in scientific notation.(1 point)
Responses

29,530 pounds
29,530 pounds

15,302.8 pounds
15,302.8 pounds

2.953×10 to the power of 5 pounds
2.953 times 10 superscript 5 baseline pounds

4.33×10 to the power of 5 pounds

Answer 1

To find the total weight of the dump truck after adding 15,300 pounds of trash, we need to add the weight of the empty truck (2.8 × 10^5 pounds) to the weight of the trash.

1. Convert the empty truck's weight into standard form:
- 2.8 × 10^5 pounds equals 280,000 pounds.

2. Add the weight of the trash:
\[
280,000 \text{ pounds} + 15,300 \text{ pounds} = 295,300 \text{ pounds}
\]

3. Convert 295,300 pounds into scientific notation:
- 295,300 can be expressed as 2.953 × 10^5 (since moving the decimal point 5 places to the left gives us 2.953).

So, the weight of the dump truck with the trash in scientific notation is:
\[
\boxed{2.953 \times 10^5} \text{ pounds}
\]