Key Concept: Divide Integers with Different Signs Main Idea NGSSS Key Concept: Divide Integers with Different Signs Example 1: Divide Integers with Different Signs Example 2: Divide Integers with Different Signs Key Concept: Divide Integers with the Same Sign Example 3: Divide Integers with the Same Sign Example 4: Divide Integers with the Same Sign Example 5: Real-World Example Five-Minute Check Lesson Menu

Use the rules for dividing integers. Main Idea/Vocabulary

MA.7.A.3.1 Use and justify the rules for adding, subtracting, multiplying, dividing, and finding the absolute value of integers. Also addresses MA.7.A.3.2. NGSSS

Key Concept

Divide Integers with Different Signs Find 51 ÷ (–3). 51 ÷ (–3) = –17 The integers have different signs. The quotient is negative. Answer: –17 Example 1

Find 169 ÷ (–13). A. 156 B. 13 C. –13 D. –156 Example 1 CYP

Divide Integers with Different Signs Find . The integers have different signs. The quotient is negative. Answer: –11 Example 2

A. 31 B. 17 C. –17 D. –31 Example 2 CYP

Key Concept 3

Divide Integers with the Same Sign Find –12 ÷ (–2). –12 ÷ (–2) = 6 The integers have the same sign. The quotient is positive. Answer: 6 Example 3

Find –32 ÷ (–8). A. –40 B. –4 C. 4 D. 40 Example 3 CYP

Divide Integers with the Same Sign ALGEBRA Evaluate –18 ÷ x if x = –2. –18 ÷ x = –18 ÷ –2 Replace x with –2. = 9 Divide. The quotient is positive. Answer: The solution is 9. Example 4

Evaluate –54 ÷ x if x = –6. A. –60 B. –9 C. 9 D. 48 Example 4 CYP

Answer: The average change in value was –$14.5 billion per week. FINANCIAL LITERACY An October newspaper headline read that the total value of stocks held by Japanese financial institutions dropped from $987 billion to $900 billion in 6 weeks. What was the average change in value per week? Y is the value of the stocks after 6 weeks, X is the initial value of the stocks. Divide. Answer: The average change in value was –$14.5 billion per week. Example 5

TEMPERATURE The temperature in Miami was 82ºF at 9:00 A. M TEMPERATURE The temperature in Miami was 82ºF at 9:00 A.M. Four hours later the temperature was 94ºF. What was the average change in temperature per hour? A. –3ºF B. 3ºF C. 4ºF D. 12ºF Example 5 CYP

Find 64 ÷ (–8). A. 56 B. 8 C. –8 D. –56 Five Minute Check 1

Find –45 ÷ (–15). A. –55 B. –30 C. –3 D. 3 Five Minute Check 2

Find . A. 116 B. 30 C. –30 D. –116 Five Minute Check 3

Evaluate if a = –3 and b = 7. A. B. 6 C. D. –6 Five Minute Check 4

Evaluate if b = 7 and c = 2. A. 14 B. 6 C. D. –6 Five Minute Check 5

Evaluate if a = –3 and c = 2. A. B. 3 C. –3 D. –11 Five Minute Check 6

Stock prices fell 250 points one day and 60 points the next day Stock prices fell 250 points one day and 60 points the next day. Find the average change in stock prices over the two days. A. –155 B. –95 C. 95 D. 115 Five Minute Check 7