Lesson 2 Homework Practice Add Integers Answers
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Lesson 2 Homework Practice Add Integers Answers
How to Add Integers with Different Signs: A Guide for Students
Integers are whole numbers that can be positive or negative. For example, 5, -3, 0, and -12 are all integers. Adding integers can be tricky, especially when they have different signs. In this article, we will explain how to add integers with different signs using a simple rule and some examples.
The Rule for Adding Integers with Different Signs
The rule for adding integers with different signs is:
To add integers with different signs, subtract their absolute values. The sum is positive if the integer with the larger absolute value is positive, and negative if the integer with the larger absolute value is negative.
The absolute value of an integer is its distance from zero on the number line. For example, the absolute value of 5 is 5, and the absolute value of -3 is 3. To subtract absolute values, you can use a number line or a formula. For example, to subtract 3 from 5, you can move 3 units to the left from 5 on the number line, or use the formula 5 - 3 = 2. To subtract 5 from 3, you can move 5 units to the left from 3 on the number line, or use the formula 3 - 5 = -2.
Examples of Adding Integers with Different Signs
Let's look at some examples of adding integers with different signs using the rule.
Example 1: Add -7 and 4.
Solution: To add -7 and 4, we subtract their absolute values: -7 - 4 = 7 - 4 = 3. The sum is negative because the integer with the larger absolute value (-7) is negative. So, -7 + 4 = -3.
Example 2: Add -10 and 15.
Solution: To add -10 and 15, we subtract their absolute values: -10 - 15 = 10 - 15 = -5. The sum is positive because the integer with the larger absolute value (15) is positive. So, -10 + 15 = 5.
Example 3: Add -6 and -9.
Solution: To add -6 and -9, we subtract their absolute values: -6 - -9 = 6 - 9 = -3. The sum is negative because both integers are negative. So, -6 + -9 = -15.
Practice Problems
To practice adding integers with different signs, try these problems. You can check your answers using this website.
Add -8 and 12.
Add -13 and -17.
Add 9 and -11.
Add -20 and 25.
Add -16 and -4.
Summary
In this article, we learned how to add integers with different signs using a simple rule and some examples. The rule is:
To add integers with different signs, subtract their absolute values. The sum is positive if the integer with the larger absolute value is positive, and negative if the integer with the larger absolute value is negative.
This rule can help you solve many problems involving adding integers with different signs. Remember to practice often and check your answers using online resources or a calculator. ec8f644aee