1. Absolute Value is the distance from zero. What is inside the absolute value will always be positive. The Exception is in Answers 3 and 4: If there is a negative outside of the absolute value, the answer will change to a negative

2. Example - Problem a: Numbers have opposite signs… so we need to subtract. Which one is further from 0… -5 or 3 -5 so our answer will be negative (-) Subtract the number closer to zero from the one further from zero. 5-3 = 2 we know answer will be negative. So answer is -2 *Note if both number have same sign you add… Problem f: -3 + -3 = -6

3. To add or subtract fractions you need a common denominator... Meaning the same number has to be the same in the bottom of both fractions. Adding: If they are the same your answer will have that number in the answer for the denominator…. The top numbers (numerator) you just add together to get you answer. To get a common denominator from two different numbers you need to create and list the multiples of both numbers until you get the same number in both. Example: 18 and 12 from problem 5 18: 18, 36, 54… 12: 12, 24, 36, 48… 36 is our common denominator for this problem.

4. Example - Problem 1: Numbers have opposite signs… so we need to subtract. Which one is further from 0… 5.4 or -9.7 -9.7 so our answer will be negative (-) Subtract the number closer to zero from the one further from zero. 9.7-5.4 = 4.3 we know answer will be negative. So, answer is -4.3 *Note if both number have same sign you add… Problem 4: -4.79 + -0.4 = -5.19

7. Explanation: Draw a number line that contains -6, 0, 9…. Then find and write the distance between the two numbers. To find distance: -6 and 9 are on opposite sides of zero; so, we will be finding the absolute value of both numbers, -6 and 9…. Which will be 6 and 9 (Absolute Value is always positive) and then add them together. 6 + 9 = 15, your answer, in addition to drawing the number line will be 15, this will earn all of the points for this problem.

8. Math Properties:

9. Step 1: Convert fraction to Decimal: Divide the numerator by the denominator: 1 ÷ 5 = 0.2 (Decimal) Step 2: Then convert Decimal to percent: Move decimal two places to the right… Your answer should be 20%.

10. Vocabulary: