11 Questions
What is the term for a whole number, either positive, negative, or zero?
Integer
What is the result of multiplying two integers with different signs?
Negative if the absolute value of the negative integer is greater
What is the term for a fraction where the numerator is greater than or equal to the denominator?
Improper fraction
What is the purpose of the distributive property of multiplication?
To expand a product of an expression and a sum
What is the term for a statement that compares two values using greater than, less than, or equal to?
Inequality
What is the measure of central tendency that is the middle value of a data set when it is arranged in order?
Median
What is the additive identity for integers?
0
What is the term for the process of writing a rational number in the form of p/q, where p and q are integers and q is non-zero?
Standard form
Which of the following is an example of a negative integer?
-5
What is the value of (-1) × (-1)?
1
Which of the following is an example of a rational number?
3/4
Study Notes
Numbers and Operations
- Integers: Whole numbers, either positive, negative, or zero (e.g.,..., -3, -2, -1, 0, 1, 2, 3,...)
- Operations on Integers: Addition, subtraction, multiplication, and division of integers, including rules for multiplication and division of integers with same/different signs
- Properties of Operations: Commutative, associative, and distributive properties of addition and multiplication
Fractions and Decimals
- Fractions: A way to represent part of a whole, written as a/b, where a is the numerator and b is the denominator
- Types of Fractions: Proper fractions ( numerator < denominator), improper fractions (numerator ≥ denominator), and mixed fractions (whole number and a proper fraction)
- Operations on Fractions: Addition, subtraction, multiplication, and division of fractions, including equivalent fractions and simplest form
- Decimals: Fractions with denominators as powers of 10, written as a decimal point followed by digits (e.g., 0.5, 3.14)
Algebra
- Variables and Expressions: Letters or symbols used to represent unknown values, and expressions involving variables and constants
- Simple Linear Equations: Equations with one variable, including solving equations with addition, subtraction, multiplication, and division
- Inequalities: Statements with greater than, less than, greater than or equal to, or less than or equal to, and their representations on a number line
Geometry
- Points, Lines, and Planes: Basic concepts, including collinear and non-collinear points, and intersecting and non-intersecting lines
- Angles and Pairs of Angles: Types of angles (acute, obtuse, right, straight), and pairs of angles (complementary, supplementary, adjacent)
- Properties of 2D Shapes: Number of sides, vertices, and angles of various shapes, including triangles, quadrilaterals, and polygons
Data Handling
- Data and Graphs: Collecting, organizing, and representing data using pictographs, bar graphs, and histograms
- Measures of Central Tendency: Mean, median, and mode of a data set, and their calculation and interpretation
Mensuration
- Perimeter and Area: Calculation of perimeter and area of various shapes, including triangles, quadrilaterals, and polygons
- Volume of 3D Shapes: Calculation of volume of cuboids, cylinders, and cones
Test your understanding of fundamental math concepts, including numbers, fractions, algebra, geometry, data handling, and mensuration. Covers topics taught in 10th class curriculum.
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