An empty dump truck weighs about 2.8 x 10^5 pounds. How much does it weigh if 15,300 pounds of trash is added? The answer should be in scientific notation.
1. 15,302.8 pounds
2. 4.33 x 10^5 pounds
3. 2.953 x 10^5 pounds
4. 29,530 pounds
The weight of the empty dump truck is 2.8 x 10^5 pounds. If 15,300 pounds of trash is added to it, the total weight would be 2.8 x 10^5 + 1.53 x 10^4 pounds.
To add these two numbers in scientific notation, we need to make the exponents the same.
To do this, we can rewrite 1.53 x 10^4 as 1.53 x 10^4 x 10^1, which is equal to 1.53 x 10^5.
Now we can add the two numbers: 2.8 x 10^5 + 1.53 x 10^5 = 4.33 x 10^5.
Therefore, the correct answer is option 2. 4.33 x 10^5 pounds.
To find out how much the dump truck weighs after adding 15,300 pounds of trash, you need to add the weight of the trash to the empty weight of the dump truck.
The empty weight of the dump truck is given as 2.8 x 10^5 pounds.
Therefore, adding 15,300 pounds to this gives:
2.8 x 10^5 + 15,300 = 2.8 x 10^5 + 1.53 x 10^4
To simplify the addition, you need to make the exponents of 10 the same. Since the exponent of 10 in 1.53 x 10^4 is 4, you can rewrite the empty weight of the truck as 2.8 x 10^5 + 0.153 x 10^5.
Now you can add the coefficients: 2.8 + 0.153 = 2.953.
Since the exponents are already the same, the final answer is:
2.953 x 10^5 pounds.
Therefore, the correct answer is option 3: 2.953 x 10^5 pounds.
To find the total weight of the dump truck after 15,300 pounds of trash is added, we need to add the weight of the empty truck (2.8 x 10^5 pounds) and the weight of the trash (15,300 pounds).
Step 1: Add the two values together.
2.8 x 10^5 pounds + 15,300 pounds = 2.8 x 10^5 pounds + 1.53 x 10^4 pounds
Step 2: Write the numbers in scientific notation.
Rearrange the values to have the same exponent:
2.8 x 10^5 pounds + 1.53 x 10^4 pounds = 2.8 x 10^5 pounds + 0.153 x 10^5 pounds
Combine the coefficients:
2.8 x 10^5 pounds + 0.153 x 10^5 pounds = (2.8 + 0.153) x 10^5 pounds
Perform the arithmetic:
2.953 x 10^5 pounds
Therefore, the correct answer is option 3: 2.953 x 10^5 pounds.