๐ Quick Study Guide
- โ When adding integers with the same sign, add their absolute values and keep the same sign. Example: $(-3) + (-2) = -5$.
- โ When adding integers with different signs, subtract the smaller absolute value from the larger absolute value. The result has the same sign as the integer with the larger absolute value. Example: $(-7) + 4 = -3$.
- ๐ข A number line can be used to visualize integer addition. Start at the first number, then move to the right for positive numbers and to the left for negative numbers.
- ๐ก Adding 0 to any integer does not change the value of the integer. This is the additive identity property. Example: $a + 0 = a$.
- ๐งญ The opposite of a number $a$ is $-a$. Adding a number to its opposite always results in 0. Example: $a + (-a) = 0$.
- ๐ Absolute value of a number is its distance from 0 on the number line, denoted as $|a|$.
Practice Quiz
- What is the result of $(-5) + (-3)$?
- A) 2
- B) -2
- C) 8
- D) -8
- What is the result of $7 + (-2)$?
- A) 9
- B) -9
- C) 5
- D) -5
- What is the result of $(-4) + 9$?
- A) -13
- B) 13
- C) -5
- D) 5
- What is the result of $0 + (-6)$?
- A) 6
- B) -6
- C) 0
- D) Not defined
- Using the number line, if you start at -2 and move 5 units to the right, where do you end up?
- A) -7
- B) 3
- C) -3
- D) 7
- What is the result of $(-1) + 1$?
- A) 2
- B) -2
- C) 0
- D) 1
- What is the result of $(-8) + 3$?
- A) 11
- B) -11
- C) -5
- D) 5
Click to see Answers
1. D, 2. C, 3. D, 4. B, 5. B, 6. C, 7. C