Understanding integers

• Why is understanding integers important?

  They appear in many types of math problems
• What do positive and negative integers represent?

  Quantities above or below zero
• What is the name of the number line shown in the image?

  Integers on a Number Line
• Which types of numbers are included in integers?

  Positive, negative, and zero
• What does a bank balance of $0 indicate?

  You have no money
• What is the outcome of multiplying a positive integer by a positive integer?

  Positive
• Where are positive integers located on a number line?

  To the right of zero
• What are some uses of positive integers?

  Counting and measuring quantities
• How are positive integers typically marked?

  Marked with a `+` sign, usually shown without
• How are negative integers and positive integers ordered on the number line?

  • Negative integers are ordered from left to right, with -8 being the smallest and -1 being the largest.
  • Positive integers are ordered from left to right, with 1 being the smallest and 8 being the largest.
• What does the inequality -1 > -4 indicate?

  -1 is greater than -4
• How do you calculate temperature change from -3°C to 12°C?

  Subtract -3 from 12
• What are the two types of integers shown on the number line?

  Negative integers and positive integers
• What does the symbol "≥" represent?

  Greater than or equal to
• How do you calculate the final balance after a deposit and withdrawal?

  Add deposit to balance, then subtract withdrawal
• How do we interpret the inequality 3 < 5?

  3 is less than 5
• What is Jane's final balance after depositing $50 and withdrawing $20 from an initial $35?

  $65
• What is the integer that represents zero?


  0
• Why is understanding positive and negative integers important?

  It helps solve more complex math problems
• What does zero represent in terms of quantity?

  It represents 'nothing'
• What does a temperature of 0°C signify?

  It is the freezing point of water
• How do you change subtraction to addition for integers?

  • Add the opposite of the number being subtracted
• Where is zero located on the number line?

  Middle of positive and negative integers
• How do you determine the result when adding -4 and 6?

  Subtract smaller from larger, keep larger's sign
• If a number is to the right of 0 on the number line, what type of integer is it?

  Positive integer
• What is the result of adding -4 and 6?

  2
• What is the value of 0 on the number line?

  0 is neither positive nor negative
• What type of number is zero classified as?

  Integer
• What is the outcome of multiplying a negative integer by a positive integer?

  Negative
• What is the relationship between the distance of a negative integer and a positive integer from 0 on the number line?

  • The distance of a negative integer from 0 is the same as the distance of the corresponding positive integer from 0.
  • For example, the distance of -5 from 0 is the same as the distance of 5 from 0.
• What is a number line?

  A visual tool showing integers in order
• What is the relationship between negative integers and positive integers on the number line?

  Negative integers are to the left of 0, positive integers are to the right of 0
• How do you calculate \((-7) \times (-4)\)?

  Multiply \(7\) and \(4\), then make positive
• What are the rules for adding integers with the same signs?

  • Add the numbers
  • Keep the sign
• What is the outcome of dividing a positive integer by a negative integer?

  Negative
• What is the outcome of multiplying a positive integer by a negative integer?

  Negative
• How does the distance between integer marks on a number line help us?

  It helps compare their values consistently
• What is the result of subtracting 2 from -5?

  -7
• If a number is to the left of 0 on the number line, what type of integer is it?

  Negative integer
• How does the outcome of multiplying two negative integers compare to multiplying a positive and a negative integer?

  Two negatives yield positive, one negative yields negative