An empty dump truck weighs about 2.8×10

Question

5
pounds. How much does it weigh if 15,300 pounds of trash is added? The answer should be in scientific notation. (1 point)

○ 2.953×10
5
pounds
○ 4.33×10
5
pounds
○ 29,530 pounds
○ 15,302.8 pounds

Answer 1

To find the total weight of the dump truck after adding the trash, we need to add the weight of the empty truck and the weight of the trash:

1. Weight of the empty dump truck: $2.8\times {10}^5$ pounds
2. Weight of the trash: $15,300$ pounds, which can be written in scientific notation as $1.53\times {10}^4$ pounds.

Now, we can add these two weights together.

To do this, we convert $15,300$ pounds to scientific notation:

• $15,300=1.53\times {10}^4$

Next, we need to express $2.8\times {10}^5$ in a compatible form with $1.53\times {10}^4$. To do this, we can rewrite $1.53\times {10}^4$ with the same exponent:

$$1.53\times {10}^4=0.153\times {10}^5$$

Now we can add $2.8\times {10}^5$ and $0.153\times {10}^5$:

$$2.8\times {10}^5+0.153\times {10}^5=(2.8+0.153)\times {10}^5$$

Calculating the sum inside the parentheses:

$$2.8+0.153=2.953$$

Thus, the total weight of the dump truck after adding the trash is:

$$2.953\times {10}^5\text{ pounds}$$

Therefore, the answer is:

2.953×10^5 pounds