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.
To determine the weight of the dump truck when 15,300 pounds of trash is added, you 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: 15,300 pounds
Total weight: 2.8×10^5 + 15,300 = 2.8×10^5 + 1.53×10^4
To add these numbers in scientific notation, you need to align the exponents and then add the coefficients:
2.8×10^5 + 1.53×10^4 = (2.8 + 0.153) × 10^5 = 2.953 × 10^5
Therefore, the weight of the dump truck with the added trash is 2.953×10^5 pounds.
To find the weight of the dump truck when 15,300 pounds of trash is added, you need to add the weight of the empty truck to the weight of the trash.
Empty dump truck weight: 2.8×10^5 pounds
Weight of trash added: 15,300 pounds
To add these weights, convert both numbers to scientific notation:
Empty dump truck weight in scientific notation: 2.8×10^5
Weight of trash added in scientific notation: 1.53×10^4
Next, add the weights:
(2.8×10^5) + (1.53×10^4) = 3.03×10^5 pounds
Therefore, the final weight of the dump truck, when 15,300 pounds of trash is added, is 3.03×10^5 pounds.
To find the weight of the dump truck with trash added, we can simply add the weight of trash to the empty weight of the truck.
Empty weight of the dump truck = 2.8 × 10^5 pounds
Weight of trash added = 15,300 pounds
To calculate the weight of the dump truck with trash added, we add these two amounts:
Weight of dump truck with trash added = Empty weight of the dump truck + Weight of trash added
Weight of dump truck with trash added = 2.8 × 10^5 pounds + 15,300 pounds
To add these values, we need to ensure they have the same exponent. Since 15,300 pounds is not in scientific notation, we can convert it.
15,300 = 1.53 × 10^4
Now we can add the two values:
2.8 × 10^5 pounds + 1.53 × 10^4 pounds = 2.8 × 10^5 + 1.53 × 10^4 pounds
To add these numbers in scientific notation, we need to ensure the exponents are the same.
Since 10^4 and 10^5 have different exponents, we can rewrite 1.53 × 10^4 as 0.153 × 10^5.
Now the exponents match and we can add the values:
2.8 × 10^5 + 0.153 × 10^5 = 3.0 × 10^5 pounds
So, the weight of the dump truck with 15,300 pounds of trash added is approximately 3.0 × 10^5 pounds in scientific notation.