(8.86 + 1.0 * 10^-3) / (3.610 * 10^-3)
Calculate the above formula, expressing the answer in scientific notation with the correct number of significant figures:
8.86 + 1.0 * 10^-3 = 8.86 + 0.0010 = 8.8610 = 8.86.
8.86/(3.610 * 10^-3) = 2454
2.454 * 10^3
Please confirm if I did everything right.
that's what my calculator gave me
Your calculations are correct. The result is indeed 2.454 * 10^3 in scientific notation, also known as 2454.
You have made a small mistake in your calculation. Everything else looks correct.
To calculate the given expression, let's break it down step by step:
1. Add the numbers in the numerator:
8.86 + 1.0 * 10^-3 = 8.86 + 0.0010 = 8.8610
2. Round the sum to the correct number of significant figures. In this case, we need to round it to three significant figures since the original numbers have three significant figures.
So, when we round 8.8610 to three significant figures, we get 8.86.
3. Divide the rounded numerator by the denominator:
8.86 / (3.610 * 10^-3)
= 8.86 / 0.003610
= 2454.014074
4. Now, let's express the answer in scientific notation with the correct number of significant figures. Since the original numbers had three significant figures, we need our answer to also have three significant figures.
To achieve this, we need to round 2454.014074 to three significant figures. After rounding, we get 2450.
Therefore, the final answer in scientific notation with three significant figures is:
2.450 * 10^3.
So, in conclusion, you made a minor mistake in the rounding of the numerator. Otherwise, your calculations are correct.