Number Operations: Integers

Number Operations

• Addition and Subtraction of Integers:
  • Rules for adding and subtracting integers with the same sign:
    • Same sign: Add the numbers
  • Rules for adding and subtracting integers with different signs:
    • Different signs: Subtract the numbers
• Multiplication and Division of Integers:
  • Rules for multiplying integers:
    • Same sign: Positive product
    • Different signs: Negative product
  • Rules for dividing integers:
    • Same sign: Positive quotient
    • Different signs: Negative quotient

Graphical Methods

• Number Lines:
  • Visual representation of integers on a line
  • Used to demonstrate addition and subtraction of integers
• Coordinate Grids:
  • Used to plot points and graph lines
  • Essential for data representation and analysis

Data Representation

• Types of Data:
  • Qualitative (categorical)
  • Quantitative (numerical)
• Data Displays:
  • Bar graphs
  • Histograms
  • Pie charts
  • Stem-and-leaf plots

Mean, Median, Mode

• Mean:
  • Average value of a dataset
  • Calculated by summing the values and dividing by the number of values
• Median:
  • Middle value of a dataset when arranged in order
  • Used to describe the central tendency of a dataset
• Mode:
  • Most frequently occurring value in a dataset
  • Used to describe the frequency of values in a dataset

Number Operations

• Adding integers with the same sign involves adding the numbers.
• Adding integers with different signs involves subtracting the numbers.
• Multiplying integers with the same sign results in a positive product.
• Multiplying integers with different signs results in a negative product.
• Dividing integers with the same sign results in a positive quotient.
• Dividing integers with different signs results in a negative quotient.

Graphical Methods

• Number lines are used to visually represent integers on a line, demonstrating addition and subtraction of integers.
• Coordinate grids are used to plot points and graph lines, essential for data representation and analysis.

Data Representation

• There are two types of data: qualitative (categorical) and quantitative (numerical).
• Common data displays include bar graphs, histograms, pie charts, and stem-and-leaf plots.

Mean, Median, Mode

• The mean is the average value of a dataset, calculated by summing the values and dividing by the number of values.
• The median is the middle value of a dataset when arranged in order, used to describe the central tendency of a dataset.
• The mode is the most frequently occurring value in a dataset, used to describe the frequency of values in a dataset.