ACT Science Flashcards: Understanding Measurement And Precision

What this deck covers

This deck focuses on Understanding Measurement And Precision, giving you a quick way to review the definitions, rules, and examples that matter most for ACT Science.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: Convert 200 milliliters to liters.

Answer: 0.2 liters. Divide ml by 1000 to get liters.

Flashcard 2: State the formula for converting meters to kilometers.

Answer: $\text{Kilometers} = \text{Meters} \times 0.001$. Divide by 1000 to convert to kilometers.

Flashcard 3: Convert 15 pounds to kilograms (1 pound ≈ 0.453592 kg).

Answer: 6.80388 kilograms. $15 \times 0.453592 = 6.80388$ kg.

Flashcard 4: What is the standard unit of length in the International System of Units (SI)?

Answer: Meter (m). Base unit for distance measurement in SI.

Flashcard 5: What is the metric prefix for $10^3$?

Answer: Kilo. Represents one thousand times the base unit.

Flashcard 6: What is the precision of a measurement?

Answer: The smallest unit it can measure accurately. Determined by instrument resolution.

Flashcard 7: Convert 36 inches to meters (1 inch = 0.0254 m).

Answer: 0.9144 meters. $36 \times 0.0254 = 0.9144$ meters.

Flashcard 8: What is the formula to convert Celsius to Fahrenheit?

Answer: $F = \frac{9}{5}C + 32$. Standard temperature conversion formula.

Flashcard 9: Convert 1000 millimeters to meters.

Answer: 1 meter. Divide by 1000 to convert mm to m.

Flashcard 10: Which standard unit is used for measuring the amount of substance in the International System of Units (SI)?

Answer: Mole (mol). Base unit for counting particles or molecules.

Flashcard 11: What is the standard unit of length in the metric system?

Answer: Meter. Base unit for measuring length in SI.

Flashcard 12: What is the metric prefix for $10^6$?

Answer: Mega. Represents one million times the base unit.

Flashcard 13: Round 123.4567 to four significant figures.

Answer: 123.5. Round the fifth digit down since the sixth is 5.

Flashcard 14: What is the SI unit for luminous intensity?

Answer: Candela. Base SI unit for measuring light intensity.

Flashcard 15: Calculate the mean of 3, 7, 8, 10, and 15.

Answer: 8.6. Sum divided by number of values: $\frac{43}{5} = 8.6$.

Flashcard 16: What is the uncertainty of a measurement noted as 7.82 ± 0.01?

Answer: 0.01. The ± value indicates measurement uncertainty.

Flashcard 17: What is the precision of a measurement?

Answer: The smallest unit it can measure accurately. Determined by instrument resolution.

Flashcard 18: Express $7.89 \times 10^3$ in standard numerical form.

Answer:

1. Move decimal 3 places right for positive exponent.

Flashcard 19: What is the metric prefix for $10^6$?

Answer: Mega. Represents one million times the base unit.

Flashcard 20: What is the formula for converting Celsius to Fahrenheit?

Answer: $F^\circ = (C^\circ \times \frac{9}{5}) + 32$. Multiply by $\frac{9}{5}$, then add 32 to convert.

Flashcard 21: Identify the error type: Instrument misalignment during measurement.

Answer: Systematic error. Consistent bias affects all measurements the same way.

Flashcard 22: How many centimeters are in a meter?

Answer: 100 centimeters. One meter equals 100 centimeters.

Flashcard 23: Round 0.004567 to three significant figures.

Answer: 0.00457. Round the fourth digit up since the fifth is 6.

Flashcard 24: Which standard unit is used for measuring the amount of substance in the International System of Units (SI)?

Answer: Mole (mol). Base unit for counting particles or molecules.

Flashcard 25: Identify the error type: Instrument misalignment during measurement.

Answer: Systematic error. Consistent bias affects all measurements the same way.

Flashcard 26: Convert 0.5 kilograms to grams.

Answer: 500 grams. Multiply kg by 1000 to get grams.

Flashcard 27: Define precision in the context of measurement.

Answer: Repeatability or consistency of measurements. Precision measures how consistent repeated measurements are.

Flashcard 28: Convert 25 mm to centimeters.

Answer: 2.5 cm. Divide by 10 to convert millimeters to centimeters.

Flashcard 29: What is the formula to convert Fahrenheit to Celsius?

Answer: $C = \frac{5}{9}(F - 32)$. Standard temperature conversion formula.

Flashcard 30: What is the formula for calculating speed?

Answer: Speed = Distance/Time. Rate of change of position.

Flashcard 31: What is the metric prefix for $10^{-6}$?

Answer: Micro. Represents one millionth of the base unit.

Flashcard 32: What does the metric prefix 'giga' represent?

Answer: $10^9$. Represents one billion times the base unit.

Flashcard 33: What is the standard unit of mass in the International System of Units (SI)?

Answer: Kilogram (kg). Base unit for mass in the metric system.

Flashcard 34: What is the formula for density?

Answer: Density = Mass/Volume. Mass per unit volume relationship.

Flashcard 35: Which is more accurate: A measurement of 9.8 cm or 10.0 cm for the true value of 10 cm?

Answer: 10.0 cm. 10.0 cm is exactly the true value.

Flashcard 36: Which is more precise: 0.0025 or 0.00256?

Answer: 0.00256. More decimal places means higher precision.

Flashcard 37: How many significant figures are in the measurement 0.00450?

Answer:

1. Count non-zero digits and zeros between them.

Flashcard 38: Identify the SI unit for electric current.

Answer: Ampere. Base SI unit for measuring current.

Flashcard 39: State the formula for calculating volume of a rectangular prism.

Answer: $\text{Volume} = \text{length} \times \text{width} \times \text{height}$. Multiply three dimensions for rectangular volume.

Flashcard 40: What is the formula to calculate density?

Answer: $\text{Density} = \frac{\text{Mass}}{\text{Volume}}$. Mass per unit volume defines density.

Flashcard 41: Define precision in scientific measurement.

Answer: The degree to which repeated measurements show the same result. Consistency of repeated measurements.

Flashcard 42: Convert 2 liters to milliliters.

Answer: 2000 mL. Multiply by 1000 to convert liters to milliliters.

Flashcard 43: Which unit is used to measure time in the International System of Units (SI)?

Answer: Second (s). Base unit for time duration in SI.

Flashcard 44: What is the metric prefix for $10^{-3}$?

Answer: Milli. Represents one thousandth of the base unit.

Flashcard 45: Convert 0.75 liters to milliliters.

Answer: 750 milliliters. Multiply liters by 1000 to get ml.

Flashcard 46: State the formula for calculating percent error.

Answer: $\text{Percent Error} = \frac{\text{|Experimental - True|}}{\text{True}} \times 100$. Formula compares experimental result to true value.

Flashcard 47: What is the formula for converting Celsius to Kelvin?

Answer: $K = °C + 273.15$. Add 273.15 to convert from Celsius to absolute temperature.

Flashcard 48: What is the uncertainty of a measurement noted as 7.82 ± 0.01?

Answer: 0.01. The ± value indicates measurement uncertainty.

Flashcard 49: What is the formula to calculate density?

Answer: $\text{Density} = \frac{\text{Mass}}{\text{Volume}}$. Mass per unit volume defines density.

Flashcard 50: Convert 5000 grams to kilograms.

Answer: 5 kilograms. Divide grams by 1000 to get kg.

Flashcard 51: Convert 1000 millimeters to meters.

Answer: 1 meter. Divide by 1000 to convert mm to m.

Flashcard 52: What unit is used for measuring angles?

Answer: Degrees or radians. Standard units for angular measurement.

Flashcard 53: How many grams are in a kilogram?

Answer: 1000 grams. One kilogram equals 1000 grams.

Flashcard 54: What unit is used for measuring angles?

Answer: Degrees or radians. Standard units for angular measurement.

Flashcard 55: What is the standard unit of mass in the International System of Units (SI)?

Answer: Kilogram (kg). Base unit for mass in the metric system.

Flashcard 56: Convert 2.5 kilometers to meters.

Answer: 2500 m. Multiply by 1000 to convert kilometers to meters.

Flashcard 57: Express $7.89 \times 10^3$ in standard numerical form.

Answer:

1. Move decimal 3 places right for positive exponent.

Flashcard 58: What is the formula for converting Celsius to Kelvin?

Answer: $K = °C + 273.15$. Add 273.15 to convert from Celsius to absolute temperature.

Flashcard 59: Convert 0.002 kilograms to grams.

Answer: 2 grams. Multiply kg by 1000 to get grams.

Flashcard 60: Convert 200 milliliters to liters.

Answer: 0.2 liters. Divide ml by 1000 to get liters.

Flashcard 61: Convert 5000 grams to kilograms.

Answer: 5 kilograms. Divide grams by 1000 to get kg.

Flashcard 62: How many liters are in a kiloliter?

Answer: 1000 liters. One kiloliter equals 1000 liters.

Flashcard 63: A measurement is 100.0 cm. Its true value is 98.5 cm. Calculate the percent error.

Answer: 1.52%. $\frac{|100.0-98.5|}{98.5} \times 100 = 1.52\%$

Flashcard 64: How many millimeters are there in a meter?

Answer: 1000 mm. Standard metric conversion: 1 m = 1000 mm.

Flashcard 65: Convert 5 hours to seconds.

Answer: 18000 seconds. $5 \times 60 \times 60 = 18000$ seconds.

Flashcard 66: What unit is used to measure electric current in the International System of Units (SI)?

Answer: Ampere (A). Base unit for electrical flow rate.

Flashcard 67: How many grams are there in a kilogram?

Answer: 1000 g. Standard metric conversion: 1 kg = 1000 g.

Flashcard 68: What does the metric prefix 'giga' represent?

Answer: $10^9$. Represents one billion times the base unit.

Flashcard 69: What is the standard unit of mass in the metric system?

Answer: Kilogram. Base unit for measuring mass in SI.

Flashcard 70: Identify the error type: Random fluctuations in temperature affect readings.

Answer: Random error. Unpredictable variations cause random measurement differences.

Flashcard 71: Convert 3 tons to kilograms (1 ton = 1000 kg).

Answer: 3000 kilograms. Multiply tons by 1000 to get kg.

Flashcard 72: A measurement is 100.0 cm. Its true value is 98.5 cm. Calculate the percent error.

Answer: 1.52%. $\frac{|100.0-98.5|}{98.5} \times 100 = 1.52\%$

Flashcard 73: Define precision in the context of measurement.

Answer: Repeatability or consistency of measurements. Precision measures how consistent repeated measurements are.

Flashcard 74: Express 0.00056 in scientific notation.

Answer: $5.6 \times 10^{-4}$. Move decimal 4 places right for negative exponent.

Flashcard 75: Which is more accurate: A measurement of 9.8 cm or 10.0 cm for the true value of 10 cm?

Answer: 10.0 cm. 10.0 cm is exactly the true value.

Flashcard 76: How many centimeters are in a meter?

Answer: 100 centimeters. One meter equals 100 centimeters.

Flashcard 77: State the formula for converting meters to kilometers.

Answer: $\text{Kilometers} = \text{Meters} \times 0.001$. Divide by 1000 to convert to kilometers.

Flashcard 78: Round 0.004567 to three significant figures.

Answer: 0.00457. Round the fourth digit up since the fifth is 6.

Flashcard 79: What is the definition of accuracy in measurement?

Answer: Closeness of a measurement to the true value. Accuracy measures how close to the true value.

Flashcard 80: What is the formula to convert Celsius to Fahrenheit?

Answer: $F = \frac{9}{5}C + 32$. Standard temperature conversion formula.

Flashcard 81: What is the formula for converting Fahrenheit to Celsius?

Answer: $^{\circ}\mathrm{C} = (^{\circ}\mathrm{F} - 32) \times \frac{5}{9}$. Subtract 32, then multiply by $\frac{5}{9}$ to convert.

Flashcard 82: What is the metric prefix for $10^{-9}$?

Answer: Nano. Represents one billionth of the base unit.

Flashcard 83: Which unit is used to measure time in the International System of Units (SI)?

Answer: Second (s). Base unit for time duration in SI.

Flashcard 84: What is the formula for calculating speed?

Answer: Speed = Distance/Time. Rate of change of position.

Flashcard 85: Convert 2.5 kilometers to meters.

Answer: 2500 meters. Multiply km by 1000 to get meters.

Flashcard 86: What is the formula for converting Celsius to Fahrenheit?

Answer: $°F = (°C \times \frac{9}{5}) + 32$. Multiply by $\frac{9}{5}$, then add 32 to convert.

Flashcard 87: Convert 25 mm to centimeters.

Answer: 2.5 cm. Divide by 10 to convert millimeters to centimeters.

Flashcard 88: How many grams are there in a kilogram?

Answer: 1000 g. Standard metric conversion: 1 kg = 1000 g.

Flashcard 89: Convert 36 inches to meters (1 inch = 0.0254 m).

Answer: 0.9144 meters. $36 \times 0.0254 = 0.9144$ meters.

Flashcard 90: What is the standard unit of length in the International System of Units (SI)?

Answer: Meter (m). Base unit for distance measurement in SI.

Flashcard 91: Identify the standard unit of temperature in the International System of Units (SI).

Answer: Kelvin (K). Absolute temperature scale starting at absolute zero.

Flashcard 92: Round 123.4567 to four significant figures.

Answer: 123.5. Round the fifth digit down since the sixth is 5.

Flashcard 93: Convert 5000 grams to kilograms.

Answer: 5 kg. Divide by 1000 to convert grams to kilograms.

Flashcard 94: What is the SI unit for luminous intensity?

Answer: Candela. Base SI unit for measuring light intensity.

Flashcard 95: What is the standard unit of volume in the metric system?

Answer: Liter. Base unit for measuring volume in metric system.

Flashcard 96: Which is more precise: 0.0025 or 0.00256?

Answer: 0.00256. More decimal places means higher precision.

Flashcard 97: Convert 15 pounds to kilograms (1 pound ≈ 0.453592 kg).

Answer: 6.80388 kilograms. $15 \times 0.453592 = 6.80388$ kg.

Flashcard 98: Convert 2 liters to milliliters.

Answer: 2000 mL. Multiply by 1000 to convert liters to milliliters.

Flashcard 99: Identify the standard unit of temperature in the International System of Units (SI).

Answer: Kelvin (K). Absolute temperature scale starting at absolute zero.

Flashcard 100: Convert 0.002 kilograms to grams.

Answer: 2 grams. Multiply kg by 1000 to get grams.