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Ch.1 - Matter, Measurement & Problem Solving
Tro - Chemistry: A Molecular Approach 4th Edition
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Tutti i libri di testoTro 4th EditionCh.1 - Matter, Measurement & Problem SolvingProblema 82
Capitolo 1, Problema 82

Round each number to three significant figures. a. 79,845.82 b. 1.548937×107 c. 2.3499999995 d. 0.000045389

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Identify the first three significant figures in each number.
For each number, look at the digit immediately following the third significant figure to determine if rounding is necessary.
If the digit is 5 or greater, round up the third significant figure by one. If it is less than 5, keep the third significant figure as is.
Apply the rounding rule to each number individually.
Rewrite each number with only the first three significant figures, ensuring the correct placement of the decimal point or scientific notation.

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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 scientific contexts.
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01:09
Significant Figures Example

Rounding Rules

Rounding rules dictate how to adjust numbers to a specified number of significant figures. When rounding, if the digit following the last significant figure is 5 or greater, the last significant figure is increased by one. If it is less than 5, the last significant figure remains unchanged. This ensures that the rounded number reflects the appropriate level of precision.
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00:28
Solubility Rules

Scientific Notation

Scientific notation is a way of expressing numbers that are too large or too small in a compact form, using powers of ten. A number is written as a product of a coefficient (between 1 and 10) and a power of ten. This notation is particularly useful for handling very large or very small values, making it easier to perform calculations and maintain significant figures.
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02:50
Standard Notation to Scientific Notation
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