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