Are these the correct answers and lables? 9. A hand lens increased the thickness of a line 10 to the 3rd power times.The line was 0.5 mm thick. How thick did the line appear? my ans.- 500 mm thick 10. A truck holds 10 to the 4th power times more pounds than when it is empty. The empty truck weighs 3 tons. How much does the loaded truck weigh? my ans.- 3 X 10 to the 4th power= 30,000 tons or pounds i think it's tons Thank You
To verify the correctness of the answers, let's break down each question and apply the given information to determine the correct answers and labels.
9. A hand lens increased the thickness of a line 10 to the 3rd power times. The line was 0.5 mm thick. How thick did the line appear?
When you have a number raised to the power of 10 to the 3rd power, it means multiplying the number by 10, three times, or adding three zeros to the end of the number. So in this case, multiplying 0.5 by 10 to the power of 3 gives us:
0.5 x 10^3 = 0.5 x 1000 = 500
Therefore, the line would appear 500 mm thick, which aligns with your answer.
10. A truck holds 10 to the 4th power times more pounds than when it is empty. The empty truck weighs 3 tons. How much does the loaded truck weigh?
To calculate the weight of the loaded truck, we need to find the weight of the empty truck and then multiply it by 10 to the 4th power.
Given that the empty truck weighs 3 tons, we need to multiply this weight by 10,000 (which is 10 to the power of 4) to get:
3 tons x 10^4 = 3 x 10,000 = 30,000 tons
Based on your answer of 30,000 tons, it aligns with the calculation and the units are correct as well.
Therefore, both of your answers appear to be correct. Well done!