An empty dump truck weighs about 2.8×10^5 pounds. How much does it weigh if 15,300 pounds of trash is added? The answer should be in scientific notation
a. 15,302.8 pounds
b. 29,530 pounds
c. 4.33×10^5 pounds
d. 2.953×10^5 pounds
To find the weight of the dump truck after adding the trash, we need to add the weight of the trash to the weight of the empty dump truck.
Weight of empty dump truck: 2.8×10^5 pounds
Weight of trash added: 15,300 pounds
To add these values, we can simply add the numerical values and keep the same exponent:
2.8×10^5 + 15,300 = 2.8×10^5 + 1.53×10^4 = 2.953×10^5 pounds
Therefore, the weight of the dump truck after adding the trash is 2.953×10^5 pounds.
The answer is d. 2.953×10^5 pounds.
To find the weight of the dump truck with trash added, we need to add the weight of the trash to the weight of the empty dump truck.
The empty dump truck weighs 2.8×10^5 pounds.
When 15,300 pounds of trash is added, the total weight becomes:
2.8×10^5 pounds + 15,300 pounds = 2.8×10^5 + 1.53×10^4 pounds
To add numbers in scientific notation, the exponents must be the same. We can rewrite 1.53×10^4 in scientific notation:
1.53×10^4 = 1.53×10^4 × 10^(5-4) = 1.53×10^5
Now we can add the weights:
2.8×10^5 + 1.53×10^5 = 4.33×10^5
Therefore, the dump truck weighs 4.33×10^5 pounds with the trash added.
The answer is (c) 4.33×10^5 pounds.
To find the weight of the dump truck with 15,300 pounds of trash added, we need to add the weight of the trash to the empty weight of the dump truck.
The empty dump truck weighs about 2.8×10^5 pounds.
To add the weight of the trash, we simply add 15,300 pounds to the empty weight of the dump truck.
2.8×10^5 pounds + 15,300 pounds = 2.8×10^5 + 15,300 pounds.
To add these numbers in scientific notation, we need to align the exponents. In this case, both numbers are already in scientific notation, so we can add them directly.
2.8×10^5 + 15,300 = 2.8×10^5 + 15.3×10^3 = (2.8 + 15.3) × 10^5 = 18.1 × 10^5.
Now we can write the answer in scientific notation by moving the decimal point to the right of the first non-zero digit, and adjusting the exponent accordingly:
18.1 × 10^5 = 1.81 × 10^6.
Therefore, the weight of the dump truck with 15,300 pounds of trash added can be written as 1.81×10^6 pounds.
None of the given answer choices matches our calculated weight, so none of the options provided is correct.