Adding and Subtracting Integers

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Questions and Answers

What is the result of adding two negative integers?

  • Sometimes positive and sometimes negative, depending on the integers
  • A positive integer
  • A negative integer (correct)
  • Zero

The sum of two positive integers is always a negative integer.

False (B)

Explain the process of adding a positive and a negative integer.

Find the absolute values of both integers, subtract the smaller from the larger, and give the result the sign of the integer with the larger absolute value.

When adding a positive and a negative integer, if the absolute value of the negative integer is greater, the result will be ______.

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

Evaluate: $(-15) + 8 = $

<p>-7 (C)</p> Signup and view all the answers

Flashcards

Sum of two positive integers

The result of adding two positive integers, which is always positive.

Adding positive and negative integers

To add a positive and a negative integer, subtract their absolute values and take the sign of the larger absolute value.

Integer operation signs

The outcome sign based on the signs of the integers in an operation (add or subtract).

Result of negative integers

When adding two negative integers, the result is always negative.

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Absolute value

The distance of a number from zero on the number line, regardless of its sign.

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Study Notes

Adding and Subtracting Integers

  • The sum of two positive integers is a positive integer.
  • A positive integer may or may not have a positive (+) symbol before it.
  • To add a positive and a negative integer (or vice-versa):
    • Find the absolute value of each integer.
    • Subtract the smaller absolute value from the larger.
    • The sign of the final answer is the same as the integer with the larger absolute value.

Integer Operations Table

  • (+) + (+): Add
  • (+) + (-): Subtract
  • (-) + (-): Add (result is negative)
  • (+) - (-): Add
  • (-) - (+): Subtract (result is negative)
  • (-) - (-): Subtract

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