MATH Flashcards
What is the numerator in a fraction?
Top number indicating how many parts of a whole.
What does the denominator represent in a fraction?
Bottom number indicating into how many equal parts the whole is divided.
How do you identify place values in decimals?
Moving from thousands to hundreds, etc., divide by 10.
What is the definition of a percentage?
A part of a whole expressed in hundredths.
How do you convert a fraction to a decimal?
Numerator / Denominator.
How do you convert a decimal to a percentage?
Multiply by 100 or move the decimal right by 2.
How do you convert a percentage to a decimal?
Divide by 100 or move the decimal left by 2.
How do you convert a decimal to a fraction?
Divide by place value.
Define rational numbers.
Any number expressed as the ratio of two integers; denominator cannot be zero.
Define irrational numbers.
Cannot be expressed as a simple ratio; decimal has no repeating patterns (e.g., π).
What is a coefficient in algebra?
Integer multiplied by a variable (e.g., 15 in 15x).
What is a term in algebra?
Single number or variable separated by + or - (e.g., 15x, 5).
What is a variable in algebra?
Letter expressing an unknown quantity (e.g., x).
What is a constant in algebra?
Fixed value not associated with a variable (e.g., 5).
What does ‘kilo’ mean in the metric system?
1,000
What does ‘hecto’ represent in the metric system?
100
What does ‘deci’ mean in the metric system?
0.1
What does ‘centi’ represent in the metric system?
0.01
What does ‘milli’ mean in the metric system?
0.001
What does ‘micro’ represent in the metric system?
0.000001
What does ‘nano’ mean in the metric system?
0.000000001
What does ‘times’ represent in mathematical operations?
×
What does ‘more than’ indicate in mathematical operations?
+
What does ‘less than’ signify in mathematical operations?
−
What does ‘sum’ mean in mathematical operations?
x + y
What does ‘difference’ refer to in mathematical operations?
−
What does ‘product’ indicate in mathematical operations?
xy
What does ‘is/equals’ signify in mathematical operations?
=
Fill in the blank: The word problem format for percentages is IS OVER OF = ________.
%
What are the first steps to solving word problems using ratios and proportions?
Identify Known and Unknowns.
What is the next step after identifying known and unknowns in solving ratios and proportions?
Set Up the Proportion/Ratio Equation.
What is the final step in solving for the unknown in ratios and proportions?
Use cross-multiplication to create an equation with one variable, then solve for the variable.
What is a rate?
Ratio comparing two quantities with different units.
What is a unit rate?
A rate with a denominator of 1 (per 1 unit).
What is the mean in statistical measures?
Add all the numbers in the data set together and divide by the number of values.
How do you find the median in a data set?
Organize numbers from lowest to highest and identify the middle number.
What do you do if there are two middle numbers when finding the median?
Add the two middle numbers and divide by 2.
What is the mode in statistical measures?
The number(s) that appear the most frequently.
What is the range in statistical measures?
Subtract the smallest value from the largest value.
What is probability?
Mathematical concepts that measure the likelihood of an event occurring.
How is probability expressed?
As a number between 0 and 1.
How is probability calculated?
OF FAVORABLE OUTCOMES / TOTAL # OF POSSIBLE OUTCOMES
What does the X-axis represent in the Cartesian Coordinate System?
Horizontal.
What does the Y-axis represent in the Cartesian Coordinate System?
Vertical.
What is a scatter plot used for?
Shows correlation between variables.
What does a line graph represent?
Trends over time or continuous data.
What does a pie chart represent?
Parts of a whole to compare proportions.
What does a bar graph compare?
Different groups or categories.
What is a dependent variable?
Outcome of an experiment or the value being measured.
What is an independent variable?
Does not depend on another variable; it is manipulated or controlled.
What is the formula for the volume of a circle?
Vol = (Radius)^3.
What is the formula for the area of a circle?
Area = (Radius)^2.
What is the formula for the circumference of a circle?
C = π × d.
What is the formula for the area of a triangle?
A = 1/2 (base × height).
What is the formula for the area of a trapezoid?
A = 1/2 (base1 + base2) × height.
What is the formula for the volume of a cylinder?
V = π × r² × height.
What is the formula for the volume of a cone?
V = (π × r² × height) / 3.
What is the formula for the volume of a sphere?
V = (4/3) π × r³.
What does the US measurement system use for length?
Inches, feet, yards, miles.
How many inches are in a foot?
12 inches.
How many feet are in a yard?
3 feet.
How many yards are in a mile?
1,760 yards.
What does the metric system use for length?
Meters.
What does the metric system use for weight?
Grams.
What does the metric system use for capacity?
Liters.
How many kilograms are in a pound?
1 kg = 2.2 lbs.
How many centimeters are in an inch?
1 inch = 2.54 cm.
How many feet are in a meter?
1 m = 3.28 ft.
How many grams are in an ounce?
1 oz = 28.35 g.
How many kilometers are in a mile?
1 mile = 1.6 km.
1 kg to lbs
2.2 lbs
1 inch to cm
2.54cm
1 meter to ft
3.28ft
1 oz to g
28.35g
1 mile to km
1.6 km
SQUARE AREA
LxL
RECTANGLE AREA
LxW
parallelogram area
BxH
Circle area
Pie x r2
Triangle area
1/2 x B x H
Trapezoid area
1/2 (B1 + B2) x H
rhombus area
1/2 (D1 x D2)
Prism or Cone
x H
Pyramid or Cone
divide 3
Tiangular prism
divide 2
area of sphere
(4/3)pieR3
