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
2.953×105 pounds
2.953 times 10 superscript 5 baseline pounds
4.33×105 pounds
4.33 times 10 superscript 5 baseline pounds
29,530 pounds
29,530 pounds
15,302.8 pounds
To find the weight of the dump truck with the added trash, you need to add the weight of the trash to the weight of the empty dump truck.
Empty dump truck weight: 2.8×10^5 pounds
Added trash weight: 15,300 pounds
To add these two numbers, you align the decimal points and add the digits:
2.8×10^5
+ 1.53×10^4
_____________
2.953×10^5 pounds
So the weight of the dump truck with the added trash is 2.953×10^5 pounds.
To find the weight of the dump truck after 15,300 pounds of trash is added, we can simply add the weight of the trash to the weight of the empty dump truck.
Empty dump truck weight: 2.8×10^5 pounds
Weight of trash added: 15,300 pounds
To add these two numbers, we can use scientific notation. Since the weight of the empty dump truck is already in scientific notation, we can convert the weight of the trash added into scientific notation.
15,300 pounds can be written as 1.53×10^4 pounds.
Now we can add the weights:
2.8×10^5 pounds + 1.53×10^4 pounds = 2.953×10^5 pounds
So, the weight of the dump truck after 15,300 pounds of trash is added is 2.953×10^5 pounds.
Answer: 2.953×10^5 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 empty weight of the truck.
First, let's convert the empty weight of the truck to scientific notation. The given value, 2.8×10^5 pounds, is already in scientific notation.
Next, add the weight of the trash to the empty weight of the truck:
2.8×10^5 pounds + 15,300 pounds = 2.8×10^5 + 1.53×10^4 pounds
To add these two values in scientific notation, you need to make sure that both numbers have the same exponent (power of 10). In this case, you can rewrite 15,300 pounds as 1.53×10^4 pounds.
Now, you can add the two numbers:
2.8×10^5 + 1.53×10^4 = 2.8×10^5 + 0.153×10^5
Since the exponents are the same (both are 5), you can add the coefficients:
2.8 + 0.153 = 2.953
Finally, write the result in scientific notation:
2.953×10^5 pounds.
So, the weight of the dump truck after adding 15,300 pounds of trash is 2.953×10^5 pounds.