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Adding and subtracting rational numbers

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  • Numbers that are the same distance from 0 on the number line but in opposite direction
    Integers
    Fractions
    Zero pairs
    Opposite numbers
  • Does the sum -39 + 81 result in a positive or negative value?
    positive
  • How can you compare the expression 3 - (-10 ) and 10 - (-3)
    3 - (-10) is greater because you change the subtraction to addition and add the opposite changing the problem to 3 + 10.
  • A statement that something is true or false, which can be proven with reasons and evidence and can be disproven with counterexamples.
    Evidence
    Example
    Claim
  • Does the sum 57 + (-73) represent a positive or negative value?
    negative
  • a number’s distance from 0 on the number line and is never negative
    absolute value
    positive number
    zero pair
    opposite number
  • Compared to something or someone else. EX: The distance a submarine is compared to sea level.
    Relative to
    Represent
  • Two numbers whose sum is zero.
    Integers
    Absolute value
    Zero pair
  • numbers that are greater than 0. They are located to the right of 0 on a horizontal number line and above 0 on a vertical number line.
    Positive numbers
    Decimals
    Negative numbers
    Fractions
  • Which of the diagrams correctly represents 3 + (-5) + (-2)?
    diagram A
  • Which of the questions below can be answered using the sum -11 + 9?
    At 5:00 a.m., the temperature was -11 degrees Fahrenheit. Four hours later, the temperature was 9 degrees warmer. What was the temperature at 9:00 a.m.?
  • What is the distance between 6 and -3 on the number line?
    9 units
  • Numbers that are less than 0. They are located to the left of 0 on a horizontal number line and below 0 on a vertical number line
    Positive numbers
    Absolute value
    Negative numbers
  • What is the sum of any number and its opposite?
    zero
  • The set of whole numbers and their opposites.
    Positive and negative
    Decimals
    Fractions
    Integers
  • Write an addition expression to represent the diagram. Then, solve it.
    2 + (-6) = -4
  • An example that opposes or proves that an idea or claim is incorrect.
    evidence
    claim
    counterexample