new York State common Core math Grade 6, Module 3, great 5Videos and also solutions to help Grade 6 students understand that opposing of the opposite is the original number.Lesson 5 student Outcomes• Students understand that, for instance, the opposite of is -5 denoted -(-5) and is equal to 5. In general, they recognize that the opposite of the contrary is the original number; e.g., -(-a) = a.• college student locate and position opposite number on a number line.Opening exercises 1. Situate the number -2 and its opposite on the number line below.2. Write an integer the represents each of the following: a. 90 feet listed below sea levelb. $100 of blame c. 2 C above zero 3. Joe is at the ice cream cream shop and his home is 10 blocks north of the shop. The park is 10 blocks south of the ice cream shop. When he is at the ice cream shop, is Joe closer come the park or his house? How could the number zero be provided in this situation? Explain.Example 1: the contrary of an opposite of a Number What is opposing of opposing of 8? How deserve to we illustrate this number on a number line? a. What number is 8 units to the ideal of 0? b. How deserve to you highlight locating the contrary of ~ above this number line? What is the contrary of 8? c. Usage the same process to situate the the opposite of -8. What is opposing of -8?d. The contrary of an the opposite of a number is __________ExerciseComplete the table making use of the cards in your group.1. Write the the opposite of the opposite of -10 as an equation.2. In general, the opposite of the opposite of a number is the ______3. Administer a real-world example of this rule. Show your work.
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Problem Set1. Check out each summary carefully, and write one equation the represents the description.a. The contrary of negative sevenb. The contrary of the opposite of twenty-fivec. The contrary of fifteend. The contrary of an unfavorable thirty-six2. Jose graphed opposing of the opposite of 3 ~ above the number line. First, he graphed point P top top the number heat 3 systems to the ideal of zero. Next, the graphed opposing of ns on the number heat 3 systems to the left that zero and also labeled the K. Finally, that graphed the contrary of K and also labeled that Q. 3. Is his diagram correct? Explain. If the diagram is no correct, define his error, and also correctly locate and label allude Q. Write the relationship in between the points:a. P and also K b. K and also Q c. P and also Q 4. Read each real-world description. Write the integer that represents opposing of the opposite. Present your occupational to assistance your answer.a. A temperature increase of 15 levels Fahrenheitb. A acquire of 55 yardsc. A lose of 10 poundsd. A withdrawal of $2,0005. Write the integer that represents the statement. Locate and also label each suggest on the number line below.a. Opposing of a obtain of 6b. The opposite of a deposit the $10c. The opposite of opposing of 0d. Opposing of opposing of 4e. The opposite of the opposite of a ns of 5
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