mathematical content Flashcards
(24 cards)
What is the formula to calculate percentage?
(Number of participants who fit the condition ÷ Total number of participants) × 100
How do you convert a percentage to a decimal?
Remove the % sign and move the decimal point two places to the left (e.g., 37% becomes 0.37)
How do you convert a decimal to a fraction?
Count the number of decimal places, use that as the denominator (e.g., 0.81 = 81/100), and simplify if possible.
What does the term ‘decimal places’ refer to?
The number of digits to the right of the decimal point.
How do you convert a decimal to a percentage?
Multiply the decimal by 100 and add a % sign.
What is a ratio?
A comparison of two quantities, often expressed as part-to-whole or part-to-part.
How do you simplify a ratio or fraction?
Divide both numbers by their highest common factor.
What are significant figures?
Digits that carry meaning contributing to a number’s precision, starting from the first non-zero digit.
How do you round 0.002047 to 2 significant figures?
0.002
What is standard form?
A shorthand used to express very large or small numbers as [number between 1 and 10] × 10^(power of n).
What is the mantissa in standard form?
The number between 1 and 10.
What is the exponent in standard form?
The power of 10.
How would you write 320,000 in standard form?
3.2 × 10^5
What is an order of magnitude calculation?
An estimate of how many times larger or smaller one number is than another.
What is the symbol for ‘greater than’?
>
What is the symbol for ‘less than’?
<
What is the symbol for ‘much greater than’?
≫
What is the symbol for ‘approximately equal’?
≈
In algebra, what does ‘substituting values’ mean?
Replacing variables in an equation with given numbers.
What is the formula for standard deviation (sample)?
√(Σ(x−x̄)²/(N−1))
What does Σ mean in statistics?
Sum of (add up all values).
What does N mean in statistics?
Number of data points (sample size).
What does the square root symbol mean?
Take the square root of the value.
How would you calculate the standard deviation if Σ(x−x̄)² = 56 and n = 12?
Square root (56/11) = 2.26 (to 2 decimal places).
