6 Questions
1 Views

# Numbers and Operations Basics

Created by
@StableTheory

### What is the set of numbers that includes fractions, decimals, and percentages?

• Integers
• Rational Numbers (correct)
• Natural Numbers
• Real Numbers
• ### What is the operation of finding the difference between two numbers?

• Division
• Multiplication
• Subtraction (correct)
• ### What is the graph of a relation between input and output values?

• Inequality
• Coordinate Plane
• Function (correct)
• Equation
• ### What is the term for a set of points extending infinitely in two directions?

<p>Line</p> Signup and view all the answers

### What is the concept of approaching a value, but not reaching it?

<p>Limit</p> Signup and view all the answers

### What is the rate of change of a function?

<p>Derivative</p> Signup and view all the answers

## Study Notes

### Numbers and Operations

• Number Systems:
• Natural Numbers (N): 1, 2, 3, ...
• Whole Numbers (W): 0, 1, 2, 3, ...
• Integers (Z): ..., -3, -2, -1, 0, 1, 2, 3, ...
• Rational Numbers (Q): fractions, decimals, percentages
• Irrational Numbers: non-repeating decimals, e.g. π, e
• Real Numbers (R): all rational and irrational numbers
• Operations:
• Addition (+): combining two or more numbers
• Subtraction (-): finding the difference between two numbers
• Division (÷): sharing or grouping
• Exponents (^): repeated multiplication
• Roots (√): inverse operation of exponents

### Algebra

• Variables and Expressions:
• Variables: letters or symbols representing unknown values
• Expressions: combinations of variables, constants, and operations
• Equations and Inequalities:
• Equations: statements with equal values, e.g. 2x + 3 = 5
• Inequalities: statements with unequal values, e.g. 2x - 4 > 0
• Graphing:
• Coordinate Plane: 2D grid with x-axis and y-axis
• Functions: relations between input (x) and output (y) values

### Geometry

• Points, Lines, and Planes:
• Points: locations in space, represented by coordinates
• Lines: sets of points extending infinitely in two directions
• Planes: flat surfaces extending infinitely in all directions
• Angles and Measurements:
• Angles: formed by two rays sharing a vertex
• Degrees: units of measurement for angles
• Shapes and Solids:
• 2D Shapes: triangles, quadrilaterals, polygons, circles
• 3D Solids: cubes, spheres, pyramids, prisms

### Calculus

• Limits:
• Concept of approaching a value, but not reaching it
• Derivatives:
• Rate of change, slope of a function
• Integrals:
• Accumulation of rates of change, area under a curve

### Number Systems

• Natural Numbers (N): 1, 2, 3,...
• Whole Numbers (W): 0, 1, 2, 3,...
• Integers (Z): ..., -3, -2, -1, 0, 1, 2, 3,...
• Rational Numbers (Q): fractions, decimals, percentages
• Irrational Numbers: non-repeating decimals, e.g.π, e
• Real Numbers (R): all rational and irrational numbers

### Operations

• Addition (+): combining two or more numbers
• Subtraction (-): finding the difference between two numbers
• Division (÷): sharing or grouping
• Exponents (^): repeated multiplication
• Roots (√): inverse operation of exponents

### Variables and Expressions

• Variables: letters or symbols representing unknown values
• Expressions: combinations of variables, constants, and operations

### Equations and Inequalities

• Equations: statements with equal values, e.g. 2x + 3 = 5
• Inequalities: statements with unequal values, e.g. 2x - 4 > 0

### Graphing

• Coordinate Plane: 2D grid with x-axis and y-axis
• Functions: relations between input (x) and output (y) values

### Points, Lines, and Planes

• Points: locations in space, represented by coordinates
• Lines: sets of points extending infinitely in two directions
• Planes: flat surfaces extending infinitely in all directions

### Angles and Measurements

• Angles: formed by two rays sharing a vertex
• Degrees: units of measurement for angles

### Shapes and Solids

• 2D Shapes: triangles, quadrilaterals, polygons, circles
• 3D Solids: cubes, spheres, pyramids, prisms

### Limits

• Concept of approaching a value, but not reaching it

### Derivatives

• Rate of change, slope of a function

### Integrals

• Accumulation of rates of change, area under a curve

## Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

## Description

This quiz covers the basics of number systems and operations, including natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers, as well as addition, subtraction, and multiplication.

## More Quizzes Like This

4 questions
5 questions
10 questions
Use Quizgecko on...
Browser
Information:
Success:
Error: