Fractions Basics

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

What does the numerator in a fraction represent?

  • The total number of parts the whole is divided into
  • The whole amount
  • The number of parts you don't have
  • The number of equal parts you have (correct)

What type of shape has length, width, and height?

  • 2D shape
  • Triangle
  • Circle
  • 3D shape (correct)

What is the unit of measurement for the area of a shape?

  • Length units
  • Square units (correct)
  • Cubic units
  • Height units

What type of fraction has a numerator that is greater than or equal to the denominator?

<p>Improper fraction (D)</p> Signup and view all the answers

What is an example of a mixed number?

<p>2 1/2 (B)</p> Signup and view all the answers

What is the formula to find the area of a triangle?

<p>(base x height) / 2 (C)</p> Signup and view all the answers

What is the commutative property of addition?

<p>The order of numbers does not change the result (B)</p> Signup and view all the answers

What is the formula to find the result of division?

<p>dividend ÷ divisor (C)</p> Signup and view all the answers

How many cents are in 1 dollar?

<p>100 cents (A)</p> Signup and view all the answers

What is the opposite operation of multiplication?

<p>Division (A)</p> Signup and view all the answers

Flashcards are hidden until you start studying

Study Notes

Fractions

  • A fraction represents a part of a whole
  • Consists of a numerator (top number) and a denominator (bottom number)
  • Numerator tells you how many equal parts you have
  • Denominator tells you how many parts the whole is divided into
  • Examples: 1/2, 3/4, 2/3
  • Types of fractions:
    • Proper fraction: numerator is less than the denominator (e.g. 1/2)
    • Improper fraction: numerator is greater than or equal to the denominator (e.g. 3/2)
    • Mixed number: a combination of a whole number and a proper fraction (e.g. 2 1/2)

Shape

  • Types of shapes:
    • 2D shapes: flat shapes with length and width (e.g. square, circle, triangle)
    • 3D shapes: shapes with length, width, and height (e.g. cube, sphere, pyramid)
  • Properties of shapes:
    • Number of sides
    • Number of corners
    • Types of angles (e.g. acute, obtuse, right angles)
    • Symmetry

Area

  • Area is the amount of space inside a shape
  • Measured in square units (e.g. cm², m²)
  • Formula for area of a rectangle: length x width
  • Formula for area of a triangle: (base x height) / 2

Addition and Subtraction

  • Basic operations:
    • Addition: combining two or more numbers to get a total
    • Subtraction: finding the difference between two numbers
  • Rules:
    • Commutative property: the order of numbers does not change the result
    • Associative property: the order in which numbers are added or subtracted does not change the result
  • Examples:
    • 2 + 3 = 5
    • 5 - 2 = 3

Division

  • Division is the opposite of multiplication
  • Division is sharing a number of things into equal groups
  • Formula: dividend ÷ divisor = quotient
  • Examples:
    • 6 ÷ 2 = 3
    • 12 ÷ 4 = 3

Money

  • Currency: the system of money used in a country
  • Coins and banknotes: different denominations of money
  • Converting between coins and banknotes:
    • 1 coin = 100 smaller units (e.g. 1 dollar = 100 cents)
  • Basic operations with money:
    • Addition: combining amounts of money
    • Subtraction: finding the difference between amounts of money
  • Examples:
    • 2 dollars + 50 cents = 2.50 dollars
    • 5 dollars - 2 dollars = 3 dollars

Fractions

  • A fraction is a way to show part of a whole
  • Consists of two parts: numerator (top number) and denominator (bottom number)
  • Numerator tells you how many equal parts you have, while denominator tells you how many parts the whole is divided into
  • Examples of fractions include 1/2, 3/4, and 2/3
  • There are three types of fractions: proper, improper, and mixed numbers
  • A proper fraction has a numerator less than the denominator, such as 1/2
  • An improper fraction has a numerator greater than or equal to the denominator, such as 3/2
  • A mixed number is a combination of a whole number and a proper fraction, such as 2 1/2

Shapes

  • There are two main types of shapes: 2D and 3D
  • 2D shapes are flat and have length and width, such as squares, circles, and triangles
  • 3D shapes have length, width, and height, such as cubes, spheres, and pyramids
  • Properties of shapes include the number of sides, number of corners, and types of angles
  • Angles can be acute, obtuse, or right angles
  • Shapes can also have symmetry

Area

  • Area is the amount of space inside a shape
  • It is measured in square units, such as square centimeters or square meters
  • The formula for the area of a rectangle is length x width
  • The formula for the area of a triangle is (base x height) / 2

Addition and Subtraction

  • Addition is combining two or more numbers to get a total
  • Subtraction is finding the difference between two numbers
  • The commutative property of addition and subtraction states that the order of numbers does not change the result
  • The associative property states that the order in which numbers are added or subtracted does not change the result
  • Examples of addition and subtraction include 2 + 3 = 5 and 5 - 2 = 3

Division

  • Division is the opposite of multiplication
  • It is the process of sharing a number of things into equal groups
  • The formula for division is dividend ÷ divisor = quotient
  • Examples of division include 6 ÷ 2 = 3 and 12 ÷ 4 = 3

Money

  • Currency is the system of money used in a country
  • Coins and banknotes are different denominations of money
  • Coins can be converted to banknotes by dividing by 100, such as 1 dollar = 100 cents
  • Basic operations with money include addition and subtraction, such as combining amounts of money or finding the difference between amounts
  • Examples of money operations include 2 dollars + 50 cents = 2.50 dollars and 5 dollars - 2 dollars = 3 dollars

Studying That Suits You

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

Quiz Team

More Like This

Use Quizgecko on...
Browser
Browser