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
29,530 pounds
29,530 pounds
4.33×105 pounds
4.33 times 10 superscript 5 baseline pounds
2.953×105 pounds
2.953 times 10 superscript 5 baseline pounds
15,302.8 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 empty dump truck (2.8×105 pounds) to the weight of the trash (15,300 pounds).
Adding the two weights, we get:
2.8×105 + 15,300 = 2.8×105 + 1.53×104
To express this in scientific notation, we need to move the decimal point in the first number to obtain a number between 1 and 10. To do this, we move the decimal point one place to the left:
2.8×105 + 1.53×104 = 28×104 + 1.53×104 = 29.53×104
Since the exponent is the same in both numbers, we can add them:
29.53×104 + 1.53×104 = 31.06×104
Finally, we express this result in scientific notation by moving the decimal point one place to the right and adjusting the exponent:
31.06×104 = 3.106×105
Therefore, the weight of the dump truck with the added trash is 3.106×105 pounds.