calculate the following, expressing the answer in scientific notation with the correct number of significan figures:
(8.86 + 1.0 * 10^-3) / 3.610 *10^-3
2454.57?
That is the answer,but you have to express it in scientific notation with the correct number of significant digits. So it would be 2.5 x 10^3
To solve the given expression and express the answer in scientific notation with the correct number of significant figures, let's break it down step-by-step:
Step 1: Add the numbers inside the parentheses
8.86 + 1.0 * 10^-3 = 8.861 * 10^0
Step 2: Divide the result from step 1 by the number after the division sign
8.861 * 10^0 / 3.610 * 10^-3
Dividing numbers with exponents requires subtracting the exponents:
8.861 * 10^0 / 3.610 * 10^-3 = (8.861 / 3.610) * 10^(0 - (-3))
= 2.44879477 * 10^(3)
Step 3: Round the result to the correct number of significant figures
Since the original expression had three significant figures (8.86 and 3.610), we need to round the result to three significant figures.
Round 2.44879477 to three significant figures:
2.449 * 10^(3)
Therefore, the given expression, when expressed in scientific notation with the correct number of significant figures, is approximately 2.449 * 10^(3).
To calculate the given expression and express the answer in scientific notation with the correct number of significant figures:
Step 1: Perform the addition in the numerator:
8.860 + 0.001 = 8.861
Step 2: Multiply the result by the reciprocal of the denominator:
8.861 / (3.610 * 10^-3) = 8.861 * (1 / (3.610 * 10^-3))
Step 3: Simplify the expression:
8.861 * (1 / 3.610) * (1 / 10^-3) = 8.861 * (1 / 3.610) * 10^3
Step 4: Evaluate the multiplication:
8.861 * (1 / 3.610) ≈ 2.448
Step 5: Express the result in scientific notation with the correct number of significant figures:
2.448 * 10^3
Therefore, the answer is approximately 2.448 * 10^3, expressed in scientific notation with the correct number of significant figures.