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Questions and Answers
When multiplying two numbers in scientific notation, what is the correct method for handling the exponents?
When multiplying two numbers in scientific notation, what is the correct method for handling the exponents?
- Multiply the exponents
- Add the exponents (correct)
- Subtract the exponents
- Leave the exponents unchanged
Which of the following is the proper result when converting 38.7 × 10² to scientific notation?
Which of the following is the proper result when converting 38.7 × 10² to scientific notation?
- 3.87 × 10³ (correct)
- 38.7 × 10²
- 0.387 × 10⁴
- 387 × 10⁰
What will be the exponent of 10 when you multiply (6.022 × 10²³) and (6.42 × 10⁻²)?
What will be the exponent of 10 when you multiply (6.022 × 10²³) and (6.42 × 10⁻²)?
- 22
- 24
- 21 (correct)
- 23
Which expression correctly represents the division of (6.63 × 10⁻²) by (6.0 × 10⁻²)?
Which expression correctly represents the division of (6.63 × 10⁻²) by (6.0 × 10⁻²)?
If you perform the operation (6.022 × 10²³) ÷ (6.42 × 10⁻²), what would be the value of the exponent on the 10 in the result?
If you perform the operation (6.022 × 10²³) ÷ (6.42 × 10⁻²), what would be the value of the exponent on the 10 in the result?
What is the scientific notation of the number 637.8?
What is the scientific notation of the number 637.8?
Which of the following represents the number 0.0479 in scientific notation?
Which of the following represents the number 0.0479 in scientific notation?
How would you express the number 0.00032 in scientific notation?
How would you express the number 0.00032 in scientific notation?
What is the correct conversion of 12,378 to scientific notation?
What is the correct conversion of 12,378 to scientific notation?
Which of the following correctly adds the exponents: $ (2.0 × 10^3) + (3.5 × 10^4) $?
Which of the following correctly adds the exponents: $ (2.0 × 10^3) + (3.5 × 10^4) $?
In terms of scientific notation, what is the result of $ (6.0 × 10^2) ÷ (3.0 × 10^1) $?
In terms of scientific notation, what is the result of $ (6.0 × 10^2) ÷ (3.0 × 10^1) $?
What is the scientific notation for the number 2002.080?
What is the scientific notation for the number 2002.080?
What is the proper scientific notation for 61.06700?
What is the proper scientific notation for 61.06700?
What is the result of dividing $1.67 imes 10^{-24}$ by $9.12 imes 10^{-28}$?
What is the result of dividing $1.67 imes 10^{-24}$ by $9.12 imes 10^{-28}$?
What happens to the exponent when converting $0.183 imes 10^{4}$ to standard scientific notation?
What happens to the exponent when converting $0.183 imes 10^{4}$ to standard scientific notation?
In the multiplication of $6.63 imes 10^{-34}$ and $6.0 imes 10^{-2}$, what is the combined exponent?
In the multiplication of $6.63 imes 10^{-34}$ and $6.0 imes 10^{-2}$, what is the combined exponent?
When combining the terms $1.67 imes 10^{-24}$ and $9.12 imes 10^{-28}$ in division, what is the exponent in the final answer?
When combining the terms $1.67 imes 10^{-24}$ and $9.12 imes 10^{-28}$ in division, what is the exponent in the final answer?
What is the correct interpretation of $8.52 imes 10^{-39}$ when dividing by $39.78$?
What is the correct interpretation of $8.52 imes 10^{-39}$ when dividing by $39.78$?
In the expression $1.67 imes 10^{-24} imes 9.12 imes 10^{-28}$, what is added to the exponent during multiplication?
In the expression $1.67 imes 10^{-24} imes 9.12 imes 10^{-28}$, what is added to the exponent during multiplication?
How do you express $39.78 imes 10^{-34}$ in scientific notation?
How do you express $39.78 imes 10^{-34}$ in scientific notation?
What is the overall process when converting $0.183 imes 10^{4}$ to standard scientific notation?
What is the overall process when converting $0.183 imes 10^{4}$ to standard scientific notation?
Flashcards
Scientific notation of 637.8
Scientific notation of 637.8
6.378 x 10^2
Scientific notation of 0.0479
Scientific notation of 0.0479
4.79 x 10^-2
Scientific notation of 7.86
Scientific notation of 7.86
7.86 x 10^0
Scientific notation of 12,378
Scientific notation of 12,378
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Scientific notation of 0.00032
Scientific notation of 0.00032
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Scientific notation of 61.06700
Scientific notation of 61.06700
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Scientific notation of 2002.080
Scientific notation of 2002.080
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Scientific notation of 0.01020
Scientific notation of 0.01020
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Scientific Notation Multiplication
Scientific Notation Multiplication
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Scientific Notation Division
Scientific Notation Division
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Adjusting Scientific Notation
Adjusting Scientific Notation
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Exponent Increase
Exponent Increase
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Exponent Decrease
Exponent Decrease
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Dividing exponents in scientific notation
Dividing exponents in scientific notation
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Exponent change when moving decimal
Exponent change when moving decimal
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Multiplying and dividing in scientific notation
Multiplying and dividing in scientific notation
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Simplifying scientific notation
Simplifying scientific notation
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How does the exponent change in scientific notation?
How does the exponent change in scientific notation?
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Simplify: (6.63×10^-34)(6.0×10^1) / (8.52×10^-2)
Simplify: (6.63×10^-34)(6.0×10^1) / (8.52×10^-2)
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What is the significance of scientific notation?
What is the significance of scientific notation?
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Why is a coefficient between 1 and 10 important in scientific notation?
Why is a coefficient between 1 and 10 important in scientific notation?
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Study Notes
Chapter Overview
- Chemistry is quantitative, dealing with quantities that have amounts and units.
- Taking measurements is crucial in chemistry.
- Scientific notation is a system to express large/small numbers.
- Significant figures indicate precision in a measurement.
- Problem-solving involves unit conversions and multi-step calculations.
- Units raised to a power are also used in various contexts.
- Density is a key concept relating mass to volume.
Taking Measurements
- Quantities are expressed using a number and a unit.
- Measurements involve numerical and unit specification.
- Example: 5 kilometers specifies a distance.
- Proper quantity expression involves both a number and a unit.
Scientific Notation
- Expresses very large/small numbers concisely as N x 10n.
- N must be a number ≥ 1 and < 10.
- n is an integer that represents how many places the decimal point is moved.
- Leftwards shift yields positive n; rightwards shift yields negative n.
Significant Figures
- Indicate the precision of measurements.
- Certain digits are always significant.
- Uncertain (estimated) digits are final significant digits.
- Zeros between non-zero digits are significant.
- Leading zeros (before the first non-zero digit) are not significant.
- Trailing zeros (after non-zero digits) are significant only when a decimal point is present.
- Calculations reflect the least precise measurement.
- Significant figures are used in calculations to avoid overstating the accuracy of results.
Significant Figures in Calculations
- Addition/subtraction: Limit the final answer's significant figures to the column where all the numbers align.
- Multiplication/division: Report the final answer's significant figures to the least number of significant figures in any of the initial numbers.
- Rounding rules ensure accuracy without exaggerating precision.
Basic Units of Measurement
- Metric system is based on multiples of 10.
- SI units (International System of Units) are the preferred system of units for scientific measurements.
- Each SI unit is based on a single base quantity.
- Example include: meter (length), kilogram (mass), kelvin (temperature), second (time), mole (amount of substance), ampere (electric current), and candela (luminous intensity).
Problem Solving & Unit Conversions
- Conversion factors relate different units of measurement.
- Dimensional analysis uses conversion factors to cancel unnecessary units and obtain the required units.
- Multi-step conversions involve using multiple conversion factors in a systematic fashion.
Units Raised to a Power
- Power of 10 in a unit represents the power of 10 for both the number and the unit (e.g., square meters (m2)).
- Conversion factors should consider the power when converting between units with powers.
Density
- Density is mass per unit volume.
- Density (ρ) = mass (m) / volume (V).
- Density is constant for a given substance, irrespective of sample size.
- Density is a ratio of units: g/cm³ or kg/L.
- Density can be used as a conversion factor between mass and volume.
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Description
This quiz covers essential concepts in chemistry, focusing on measurements, scientific notation, significant figures, and density. It is designed to test your understanding of how to accurately express quantities, the use of scientific notation for large and small numbers, and the importance of precision in measurements.
