Calculate to the correct number of significant figures. a. 43.7 - 2.341 b. 17.6 + 2.838 + 2.3 + 110.77 c. 19.6 + 58.33 - 4.974 d. 5.99 - 5.572

Verified step by step guidance

Identify the number of significant figures in each number involved in the calculations.

For addition and subtraction, the result should be rounded to the least number of decimal places of any number in the operation.

a. Subtract 2.341 from 43.7 and round the result to the least number of decimal places.

b. Add 17.6, 2.838, 2.3, and 110.77, then round the result to the least number of decimal places.

c. Add 19.6 and 58.33, then subtract 4.974, rounding the result to the least number of decimal places.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.

Video duration:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion. Understanding significant figures is crucial for accurately reporting measurements and calculations in chemistry, as it reflects the precision of the data.

Rules for Addition and Subtraction

When performing addition or subtraction, the result should be reported with the same number of decimal places as the measurement with the least number of decimal places. This rule ensures that the precision of the result is not overstated, maintaining the integrity of the data derived from the least precise measurement.

Rules for Multiplication and Division

For multiplication and division, the result should be reported with the same number of significant figures as the measurement that has the least number of significant figures. This rule is essential for maintaining the accuracy of calculations, as it prevents the introduction of false precision in the final result.

Recommended video:

Guided course