**Decimal places** refer to the number of digits that appear after the decimal point in a number.
True
Significant figures indicate the precision of a measurement, while decimal places indicate the position of the decimal
Steps to round a measurement to significant figures:
1️⃣ Identify the required number of significant figures
2️⃣ Count from the first non-zero digit
3️⃣ Examine the digit to the right
4️⃣ Round up if 5 or greater
Why is it important to use the correct number of significant figures?
Avoid over-precision
When rounding to significant figures, round down if the next digit is 4 or less.
True
Rounding to decimal places reduces the number of digits after the decimal point.
True
What is involved in rounding measurements to decimal places?
Reducing digits after decimal
What is 3.14159 rounded to 2 decimal places?
3.14
What does an error interval represent in measurements?
True value range
What is the absolute error in a measurement if the measured value is 12.5 cm and the true value is 12.0 cm?
0.5 cm
Leading zeros are not counted as significant figures but are included in counting the number of decimal places
Steps for rounding measurements to significant figures
1️⃣ Identify the required number of significant figures
2️⃣ Count from the first non-zero digit
3️⃣ Examine the digit to the right of the last significant figure
4️⃣ Round up if the digit is 5 or greater
5️⃣ Drop any remaining digits
Leading zeros are counted as significant figures.
False
0.002567 rounded to 2 significant figures is 0.0026
Match the concept with its definition:
Tolerance ↔️ Acceptable range of values
Error Interval ↔️ Range containing true value
A percentage error of 4.17% indicates the measurement has good accuracy.
True
Percentage error measures how accurate a measurement is compared to the true value.
True
What do significant figures indicate about a measurement?
Precision
A number with 0.0045 has 2 significant figures.
True
When rounding 12345 to 3 significant figures, the rounded result is 12300
What does the number of decimal places in a measurement indicate?
Position of decimal point
When rounding 4.567 to 3 significant figures, the rounded result is 4.57
Steps to round a measurement to decimal places:
1️⃣ Identify the decimal place to round to
2️⃣ Examine the digit immediately to the right
3️⃣ Round up if 5 or greater
4️⃣ Keep as is if less than 5
The first step in rounding measurements to decimal places is to identify the decimal place to round to
A tolerance in measurements refers to the acceptable range of values
The formula for calculating percentage error is: Percentageerror=TruevalueAbsoluteerror×100, where the true value is the denominator and 100 is used to express the result as a percentage
A percentage error of 4.17% indicates that the measured value is approximately 4% different from the true value.
True
What is the first step in rounding a measurement to significant figures?
Identify significant figures
What is 12345 rounded to 3 significant figures?
12300
0.002567 rounded to 2 significant figures is 0.0026
When rounding to decimal places, if the next digit is 5 or greater, you round up the last decimal place digit.
True
A tolerance of 10 cm ± 0.5 cm means acceptable measurements range from 9.5 cm to 10.5
Match the term with its meaning:
Significant Figures ↔️ Precision of measurement
Decimal Places ↔️ Position of decimal point
Significant figures refer to the meaningful digits in a number, including the first non-zero digit
Which digits are included when counting significant figures?
All non-zero digits
A number with 0.0045 has 4 decimal places.
True
When rounding 0.002567 to 2 significant figures, the rounded result is 0.0026
Significant figures include leading zeros in a number.
False
When rounding 0.00456 to 2 significant figures, the rounded result is 0.0046
When rounding 3.14159 to 2 decimal places, the rounded result is 3.14