Evaluate each of the following and write the answer to the...

Evaluate each of the following and write the answer to the appropriate number of significant figures. a. $(2.0944+0.0003233+12.22) /(7.001)$ b. $\left(1.42 \times 10^{2}+1.021 \times 10^{3}\right) /\left(3.1 \times 10^{-1}\right)$ c. $\left(9.762 \times 10^{-3}\right) /\left(1.43 \times 10^{2}+4.51 \times 10^{1}\right)$ d. $\left(6.1982 \times 10^{-4}\right)^{2}$

Evaluate each of the following and write the answer to the appropriate number of significant figures.
a. $(2.0944+0.0003233+12.22) /(7.001)$
b. $\left(1.42 \times 10^{2}+1.021 \times 10^{3}\right) /\left(3.1 \times 10^{-1}\right)$
c. $\left(9.762 \times 10^{-3}\right) /\left(1.43 \times 10^{2}+4.51 \times 10^{1}\right)$
d. $\left(6.1982 \times 10^{-4}\right)^{2}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Significant Figures

Significant figures are the digits in a number that contribute to the accuracy of that number. They reflect the precision of measurements and calculations. When performing arithmetic operations, the final answer should be rounded based on the number of significant figures in the least precise measurement.

Rounding

Rounding is the process of shortening a number while keeping its value close to what it was. In problems involving significant figures, rounding ensures that the result does not imply greater precision than the measured or given values.

Operations with Significant Figures

When performing arithmetic operations, different rules apply for determining the correct number of significant figures in the result. For addition and subtraction, the answer should have as many decimal places as the measurement with the least number of decimal places. For multiplication and division, the answer should be rounded to the same number of significant figures as the factor with the fewest significant figures.

Scientific Notation

Scientific notation is a method of writing numbers that are too large or too small to be conveniently written in decimal form. It expresses numbers as a product of a number between 1 and 10 and a power of ten, and is especially useful for handling significant figures in calculations.

Transcript

Please give Ace some feedback