An empty dump truck weighs about 2.8×105 pounds. How much does it weigh if 15,300 pounds of trash is added? The answer should be in scientific notation.(1 point)
Responses
15,302.8 pounds
15,302.8 pounds
4.33×105 pounds
4.33 times 10 superscript 5 baseline pounds
2.953×105 pounds
2.953 times 10 superscript 5 baseline pounds
29,530 pounds
To find the total weight of the dump truck after adding the trash, we add the weight of the empty dump truck (2.8×105 pounds) and the weight of the trash (15,300 pounds).
2.8×105 pounds + 15,300 pounds = 2.8153×105 pounds
Thus, the weight of the dump truck after adding the trash is 2.8153×105 pounds, which can be written in scientific notation as 2.8153 times 10 superscript 5 pounds.
To find the weight of the dump truck after adding 15,300 pounds of trash, you need to add the weight of the trash to the weight of the empty dump truck.
The weight of the empty dump truck is given as 2.8×105 pounds.
To add 15,300 pounds of trash to the empty dump truck, you simply add these two numbers together:
2.8×105 pounds + 15,300 pounds = 2.8×105 pounds + 1.53×104 pounds
Now, you need to express the sum in scientific notation. To do this, you need to adjust the decimal point so that there is only one non-zero digit to the left of it. In this case, the sum can be expressed as:
4.33×105 pounds
Therefore, the correct answer is option C: 4.33×105 pounds.
To find the total weight with 15,300 pounds of trash added, you need to add the weight of the trash to the empty weight of the dump truck.
Empty weight of the dump truck: 2.8×10^5 pounds
Weight of trash added: 15,300 pounds
To find the total weight, add the two values together:
2.8×10^5 pounds + 15,300 pounds = 2.8×10^5 + 1.53×10^4 pounds
To add these numbers in scientific notation, you need to make sure the exponents are the same. In this case, we need to convert 15,300 pounds to scientific notation:
15,300 pounds = 1.53×10^4 pounds
Now, we can add the two values:
2.8×10^5 pounds + 1.53×10^4 pounds = (2.8 + 0.153)×10^5 pounds = 2.953×10^5 pounds
Therefore, the weight of the dump truck with 15,300 pounds of trash added is 2.953×10^5 pounds.