Choosing Appropriate Levels of Accuracy - Algebra
Card 1 of 30
What is the appropriate rounding unit if a quantity is measured to the nearest $10$?
What is the appropriate rounding unit if a quantity is measured to the nearest $10$?
Tap to reveal answer
Round to the tens place. Nearest $10$ means round to tens place.
Round to the tens place. Nearest $10$ means round to tens place.
← Didn't Know|Knew It →
Which report avoids false precision if the tool measures only to the nearest $1$ cm: $8$ cm or $8.0$ cm?
Which report avoids false precision if the tool measures only to the nearest $1$ cm: $8$ cm or $8.0$ cm?
Tap to reveal answer
$8$ cm. Whole numbers match centimeter-only precision.
$8$ cm. Whole numbers match centimeter-only precision.
← Didn't Know|Knew It →
Identify the appropriate rounding: $6.664$ miles reported to the nearest hundredth.
Identify the appropriate rounding: $6.664$ miles reported to the nearest hundredth.
Tap to reveal answer
$6.66$ miles. Round down because the next digit is $4$.
$6.66$ miles. Round down because the next digit is $4$.
← Didn't Know|Knew It →
Identify the appropriate rounding: $6.666$ miles reported to the nearest hundredth.
Identify the appropriate rounding: $6.666$ miles reported to the nearest hundredth.
Tap to reveal answer
$6.67$ miles. Round up because the next digit is $6$.
$6.67$ miles. Round up because the next digit is $6$.
← Didn't Know|Knew It →
Choose the correct report: a thermometer reads $19.0$ °C; which is appropriate, $19$ °C or $19.0$ °C?
Choose the correct report: a thermometer reads $19.0$ °C; which is appropriate, $19$ °C or $19.0$ °C?
Tap to reveal answer
$19.0$ °C. Thermometer precision includes the tenths place.
$19.0$ °C. Thermometer precision includes the tenths place.
← Didn't Know|Knew It →
Choose the correct report: a scale reads $72.4$ kg; which is appropriate, $72.4$ kg or $72.40$ kg?
Choose the correct report: a scale reads $72.4$ kg; which is appropriate, $72.4$ kg or $72.40$ kg?
Tap to reveal answer
$72.4$ kg. Scale precision matches the displayed digits exactly.
$72.4$ kg. Scale precision matches the displayed digits exactly.
← Didn't Know|Knew It →
Which option best matches a measurement to the nearest $0.01$ m: $1.2$ m or $1.20$ m?
Which option best matches a measurement to the nearest $0.01$ m: $1.2$ m or $1.20$ m?
Tap to reveal answer
$1.20$ m. Shows measurement precision to hundredths place.
$1.20$ m. Shows measurement precision to hundredths place.
← Didn't Know|Knew It →
Identify the appropriate rounding: $2.999$ L reported to the nearest hundredth.
Identify the appropriate rounding: $2.999$ L reported to the nearest hundredth.
Tap to reveal answer
$3.00$ L. Round up the hundredths place from $99$ to $00$.
$3.00$ L. Round up the hundredths place from $99$ to $00$.
← Didn't Know|Knew It →
Identify the appropriate rounding: $18.04$ cm reported to the nearest tenth.
Identify the appropriate rounding: $18.04$ cm reported to the nearest tenth.
Tap to reveal answer
$18.0$ cm. Round down because the next digit is $4$.
$18.0$ cm. Round down because the next digit is $4$.
← Didn't Know|Knew It →
What does it mean to report a measurement to the nearest tenth?
What does it mean to report a measurement to the nearest tenth?
Tap to reveal answer
Round to $1$ decimal place (tenths place). Keeps one digit after the decimal point.
Round to $1$ decimal place (tenths place). Keeps one digit after the decimal point.
← Didn't Know|Knew It →
Which option best matches a measurement to the nearest $0.1$ m: $1.2$ m or $1.20$ m?
Which option best matches a measurement to the nearest $0.1$ m: $1.2$ m or $1.20$ m?
Tap to reveal answer
$1.2$ m. Shows measurement precision to tenths place only.
$1.2$ m. Shows measurement precision to tenths place only.
← Didn't Know|Knew It →
What does it mean to report a measurement to the nearest hundredth?
What does it mean to report a measurement to the nearest hundredth?
Tap to reveal answer
Round to $2$ decimal places (hundredths place). Keeps two digits after the decimal point.
Round to $2$ decimal places (hundredths place). Keeps two digits after the decimal point.
← Didn't Know|Knew It →
Which is the appropriate number of decimals if a value is measured to the nearest $0.0001$?
Which is the appropriate number of decimals if a value is measured to the nearest $0.0001$?
Tap to reveal answer
Use $4$ decimal places. Ten-thousandths precision requires four decimal places.
Use $4$ decimal places. Ten-thousandths precision requires four decimal places.
← Didn't Know|Knew It →
What does it mean to report a measurement to the nearest unit?
What does it mean to report a measurement to the nearest unit?
Tap to reveal answer
Round to the closest whole unit (ones place). Removes fractional parts by rounding to whole numbers.
Round to the closest whole unit (ones place). Removes fractional parts by rounding to whole numbers.
← Didn't Know|Knew It →
Identify the correct rounding: $5.10$ in reported to the nearest $ rac{1}{4}$ in.
Identify the correct rounding: $5.10$ in reported to the nearest $ rac{1}{4}$ in.
Tap to reveal answer
$5.00$ in. Round $5.10$ to nearest quarter-inch ($0.25$).
$5.00$ in. Round $5.10$ to nearest quarter-inch ($0.25$).
← Didn't Know|Knew It →
Identify the correct rounding: $5.125$ in reported to the nearest $ rac{1}{4}$ in.
Identify the correct rounding: $5.125$ in reported to the nearest $ rac{1}{4}$ in.
Tap to reveal answer
$5.25$ in. Round $5.125$ to nearest quarter-inch ($0.25$).
$5.25$ in. Round $5.125$ to nearest quarter-inch ($0.25$).
← Didn't Know|Knew It →
Identify the appropriate rounding: $0.444$ kg reported to the nearest thousandth.
Identify the appropriate rounding: $0.444$ kg reported to the nearest thousandth.
Tap to reveal answer
$0.444$ kg. Already at the required thousandths precision level.
$0.444$ kg. Already at the required thousandths precision level.
← Didn't Know|Knew It →
Which option is appropriate if a measuring tape is marked every $ rac{1}{4}$ inch: $2.25$ in or $2.23$ in?
Which option is appropriate if a measuring tape is marked every $ rac{1}{4}$ inch: $2.25$ in or $2.23$ in?
Tap to reveal answer
$2.25$ in. $\frac{1}{4}$ inch equals $0.25$, so $2.25$ fits.
$2.25$ in. $\frac{1}{4}$ inch equals $0.25$, so $2.25$ fits.
← Didn't Know|Knew It →
Which option is appropriate if a measuring tape is marked every $ rac{1}{8}$ inch: $2.375$ in or $2.38$ in?
Which option is appropriate if a measuring tape is marked every $ rac{1}{8}$ inch: $2.375$ in or $2.38$ in?
Tap to reveal answer
$2.375$ in. $\frac{1}{8}$ inch equals $0.125$, so $2.375$ fits.
$2.375$ in. $\frac{1}{8}$ inch equals $0.125$, so $2.375$ fits.
← Didn't Know|Knew It →
Identify the appropriate report: measured length is $15.2$ cm; report to the nearest cm.
Identify the appropriate report: measured length is $15.2$ cm; report to the nearest cm.
Tap to reveal answer
$15$ cm. Round down from $15.2$ to nearest whole number.
$15$ cm. Round down from $15.2$ to nearest whole number.
← Didn't Know|Knew It →
Identify the appropriate report: measured length is $15.7$ cm; report to the nearest cm.
Identify the appropriate report: measured length is $15.7$ cm; report to the nearest cm.
Tap to reveal answer
$16$ cm. Round up from $15.7$ to nearest whole number.
$16$ cm. Round up from $15.7$ to nearest whole number.
← Didn't Know|Knew It →
Which report avoids false precision if the tool measures to the nearest $0.1$ cm: $8$ cm or $8.0$ cm?
Which report avoids false precision if the tool measures to the nearest $0.1$ cm: $8$ cm or $8.0$ cm?
Tap to reveal answer
$8.0$ cm. Decimal shows measurement to tenths precision.
$8.0$ cm. Decimal shows measurement to tenths precision.
← Didn't Know|Knew It →
Identify the appropriate rounding: $18.05$ cm reported to the nearest tenth.
Identify the appropriate rounding: $18.05$ cm reported to the nearest tenth.
Tap to reveal answer
$18.1$ cm. Round up because the next digit is $5$.
$18.1$ cm. Round up because the next digit is $5$.
← Didn't Know|Knew It →
What does the phrase “to the nearest $ rac{1}{4}$ inch” tell you to do?
What does the phrase “to the nearest $ rac{1}{4}$ inch” tell you to do?
Tap to reveal answer
Round to the nearest multiple of $ rac{1}{4}$ inch. Round to the closest quarter-inch increment.
Round to the nearest multiple of $ rac{1}{4}$ inch. Round to the closest quarter-inch increment.
← Didn't Know|Knew It →
What does the phrase “to the nearest inch” tell you to do?
What does the phrase “to the nearest inch” tell you to do?
Tap to reveal answer
Round to the nearest whole inch. Eliminates fractions of inches in your measurement.
Round to the nearest whole inch. Eliminates fractions of inches in your measurement.
← Didn't Know|Knew It →
Identify the appropriate rounding: a distance of $4.44$ m measured to the nearest $0.01$ m.
Identify the appropriate rounding: a distance of $4.44$ m measured to the nearest $0.01$ m.
Tap to reveal answer
$4.44$ m. Already at the required hundredths precision level.
$4.44$ m. Already at the required hundredths precision level.
← Didn't Know|Knew It →
Identify the appropriate rounding: a time of $9.76$ s measured to the nearest $0.1$ s.
Identify the appropriate rounding: a time of $9.76$ s measured to the nearest $0.1$ s.
Tap to reveal answer
$9.8$ s. Round $9.76$ to one decimal place using standard rules.
$9.8$ s. Round $9.76$ to one decimal place using standard rules.
← Didn't Know|Knew It →
Which report is more appropriate for a mass measured to the nearest gram: $53.0$ g or $53$ g?
Which report is more appropriate for a mass measured to the nearest gram: $53.0$ g or $53$ g?
Tap to reveal answer
$53$ g. Whole grams match the measurement precision stated.
$53$ g. Whole grams match the measurement precision stated.
← Didn't Know|Knew It →
Which report is more appropriate for a length measured with a ruler marked in centimeters: $12.345$ cm or $12.3$ cm?
Which report is more appropriate for a length measured with a ruler marked in centimeters: $12.345$ cm or $12.3$ cm?
Tap to reveal answer
$12.3$ cm. Centimeter ruler cannot justify thousandths precision.
$12.3$ cm. Centimeter ruler cannot justify thousandths precision.
← Didn't Know|Knew It →
What is the purpose of choosing an appropriate level of accuracy when reporting?
What is the purpose of choosing an appropriate level of accuracy when reporting?
Tap to reveal answer
To match the report to measurement precision and avoid false accuracy. Prevents misleading claims about measurement precision.
To match the report to measurement precision and avoid false accuracy. Prevents misleading claims about measurement precision.
← Didn't Know|Knew It →