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Introduction to Chemistry: Measurement and Problem Solving

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  • What are the two parts of a number written in scientific notation?

    A decimal part between 1 and 10, and an exponential part which is 10 raised to an exponent.

  • What does a positive exponent in scientific notation represent?

    It means 1 multiplied by 10 \(n\) times.

  • What does a negative exponent in scientific notation represent?

    It means 1 divided by 10 \(n\) times.

  • How do you convert a number to scientific notation?

    Move the decimal point to get a number between 1 and 10, then multiply by 10 raised to the power that compensates for moving the decimal point.

  • What determines the sign of the exponent when converting to scientific notation?

    If the decimal point moves left, the exponent is positive; if it moves right, the exponent is negative.

  • How is uncertainty indicated in a measurement?

    By the last reported digit, which is estimated and reflects the precision of the measurement.

  • What is the significance of the number of digits reported in a measurement?

    More digits indicate greater precision; fewer digits indicate less precision.

  • How do you estimate between markings on a scale for measurement?

    Mentally divide the space between markings into equal parts and estimate the last digit accordingly.

  • Which zeros are significant in a measurement?

    All nonzero digits, interior zeros, and trailing zeros after a decimal point are significant.

  • Which zeros are NOT significant in a measurement?

    Leading zeros (zeros to the left of the first nonzero digit) are not significant.

  • What are exact numbers in measurements?

    Numbers with unlimited significant figures, such as exact counts, integral numbers in equations, and defined conversion factors.

  • What is the rule for rounding numbers in calculations?

    Round only the final answer; round down if the dropped digit is 4 or less, round up if 5 or more.

  • How do you determine significant figures in multiplication and division?

    The result has the same number of significant figures as the factor with the fewest significant figures.

  • How do you determine significant figures in addition and subtraction?

    The result has the same number of decimal places as the quantity with the fewest decimal places.

  • What is the strategy for calculations involving both multiplication/division and addition/subtraction?

    Perform operations in parentheses first, determine significant figures without rounding intermediate answers, then complete remaining steps.

  • What is the International System of Units (SI)?

    A metric-based system of measurement used in science with base units like meter, kilogram, and second.

  • How is the meter defined?

    The distance light travels in vacuum in \(\frac{1}{299,792,458}\\) seconds.

  • How is the kilogram defined?

    Using Planck's constant as a fixed value in its definition.

  • How is the second defined?

    As the duration of 9,192,631,770 periods of radiation from a cesium-133 atom transition.

  • What is the difference between mass and weight?

    Mass is the quantity of matter; weight is the gravitational pull on that matter and depends on gravity.

  • What are SI prefix multipliers?

    Prefixes that represent powers of ten to scale units, such as kilo- (103) and milli- (10-3).

  • What is a derived unit? Give an example related to volume.

    A unit formed from base units; volume is a derived unit expressed as length cubed, e.g., cubic meters.

  • What is dimensional analysis in problem solving?

    Using units as algebraic quantities to multiply, divide, and cancel units logically to solve problems.

  • How do you construct a conversion factor?

    By dividing two equivalent quantities to create a ratio equal to 1 for unit conversion.

  • What is a solution map in problem solving?

    A visual outline showing the strategic steps and unit conversions needed to solve a problem.

  • How do you convert units raised to a power?

    Raise the conversion factor to the same power as the units being converted.

  • How is density defined?

    Density is the ratio of mass to volume, calculated as \(\frac{mass}{volume}\).

  • How can density be used as a conversion factor?

    To convert between mass and volume of a substance using its density value.