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
15,302.8 pounds
29,530 pounds
4.33×10^5 pounds
2.953×10^5 pounds
To find the total weight of the dump truck after adding 15,300 pounds of 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 dump truck with trash = Weight of empty dump truck + Weight of trash
Weight of dump truck with trash = 2.8 × 10^5 pounds + 1.53 × 10^4 pounds
Weight of dump truck with trash = 2.8 × 10^5 pounds + 1.53 × 10^4 pounds
Weight of dump truck with trash = 4.33 × 10^5 pounds
Therefore, the weight of the dump truck after adding 15,300 pounds of trash is 4.33 × 10^5 pounds.
To find out how much the truck weighs when 15,300 pounds of trash is added, we need to add the weight of the trash to the weight of the empty truck.
The empty dump truck weighs 2.8×10^5 pounds.
If we add 15,300 pounds of trash to that, the total weight of the dump truck and trash is:
2.8×10^5 pounds + 15,300 pounds = 2.8×10^5 pounds + 1.53×10^4 pounds
To add these two numbers, we need to put them in the same power of 10. Since 2.8×10^5 is already in scientific notation, we need to convert 15,300 pounds to scientific notation as well.
15,300 pounds can be written as 1.53×10^4 pounds (by moving the decimal place one to the left and the exponent one to the right).
Now we can add the weights:
2.8×10^5 pounds + 1.53×10^4 pounds = 2.8×10^5 pounds + 1.53×10^4 pounds = 3.35×10^5 pounds
Therefore, the truck weighs 3.35×10^5 pounds when 15,300 pounds of trash is added.
So, the answer is 3.35×10^5 pounds.
To find out how much the dump truck weighs after adding 15,300 pounds of trash, we need to add the weight of the trash to the weight of the empty truck.
The empty truck weighs 2.8×10^5 pounds. We can write this number in standard form as 280,000 pounds.
To find the total weight, we add the weight of the empty truck and the weight of the trash:
280,000 pounds + 15,300 pounds = 295,300 pounds
Now, we need to convert this number to scientific notation.
In scientific notation, we represent a number as the product of a decimal number greater than or equal to 1 but less than 10 and a power of 10.
The decimal part should be between 1 and 10. So, we divide the total weight, 295,300 pounds, by 10^5:
295,300 pounds ÷ 10^5 = 2.953 pounds.
To convert this back to scientific notation, we express it as:
2.953 × 10^5 pounds.
Therefore, the correct answer is 2.953×10^5 pounds.