Integers: Real-World Applications and Operations
Dive into the world of integers with this comprehensive guide covering adding, subtracting, multiplying, and dividing integers in real-world scenarios. Explore the concept of opposites, additive inverses, and how integers interact in different situations. Clear explanations and practical examples make mastering integers a breeze.
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Presentation Transcript
Get out homework and a red pen. Write an integer for each situation. 1. stock market down 56 points Label Journals 2. a score of 3 3-2 & 3-3: Add & Subtract Integers 3. a bank deposit of $25 Evaluate each expression. 19 Complete the quick check to the left 4. 12 2 5. + 6. What is the value of if k = 6 and m= 2 k m Course 2, Lesson 3-2
ANSWERS 1. 56 2. 3 3. 25 4. 19 5. 14 6. 4 Course 2, Lesson 3-2
Homework and red pen Clear everything else. We will check hw now. Course 2, Lesson 3-1
The Number System WHAT happens when you add, subtract, multiply, and divide integers? Course 2, Lesson 3-2
The Number System I can Add and subtract integers. Solve real world problems involving integers Course 2, Lesson 3-2
The Number System Opposites: numbers that are the same distance from zero (Example: 2 and -2) additive inverse: another way of saying opposite. When we add opposites, they equal zero. Course 2, Lesson 3-2
The Number System Add Integers with the Same Sign To add integers with the same sign, add Words their absolute values(the number parts without signs). Keep the sign the same. The sum is: positive if both integers are positive. negative if both integers are negative. Examples 7 + 4 = 11 7 + ( 4) = 11 Course 2, Lesson 3-2
Adding Integers with the same sign: 26 + ( 17). 3 + ( 2). 6 + ( 3) Course 2, Lesson 3-1
The Number System Add Integers with Different Signs Words will have the same sign as the larger absolute value(number part). . The sum is: positive if the positive integer s absolute value is greater. negative if the negative integer s absolute value is greater. To add integers with the different signs, subtract their absolute values(the number parts without signs). The sum Examples 9 + ( 4) = 5 9 + 4 = 5 Course 2, Lesson 3-2
Adding Integers with different signs 5 + ( 3). 7 + ( 7). 8 + ( 7). Course 2, Lesson 3-1
Step-by-Step Example Find 2 + ( 15) + ( 2) Same problem 2 ways 2 + ( 15) + ( 2) 2 + ( 15) + ( 2)
Need Another Example? Find 11 + ( 4) + ( 11).
Step-by-Step Example A roller coaster starts at point A. It goes up 20 feet, down 32 feet, and then up 16 feet to point B. Write an addition sentence to find the height at point B in relation to point A. Then find the sum and explain its meaning. 8. Need Another Example?
The Number System Subtract Integers To subtract an integer, don t subtract at all. Change the Words problem to addition by adding the opposite (keep, change, change). Once you change it to addition, follow addition rules. Symbols 7 15 becomes 7 + (-15) which equals -8 4 9 = 4 + ( 9) = 5 7 ( 10) = 7 +(10) = 17 Examples Course 2, Lesson 3-3
Step-by-Step Example 8 13 2 15 10 7 Need Another Example?
Step-by-Step Example Evaluate x y if x = 6 and y = 5. Need Another Example?
Need Another Example? Evaluate g h if g = 2 and h = 7.
Need Another Example? In Mongolia, the temperature can fall to 45 Celsius in January. The temperature in July may reach 40 Celsius. Find the difference between these two temperatures in Mongolia. 85 C Answer
The Number System How did what you learned today help you answer the WHAT happens when you add, subtract, multiply, and divide integers? Course 2, Lesson 3-2
The Number System How did what you learned today help you answer the WHAT happens when you add, subtract, multiply, and divide integers? Sample answers: The sum of two positive integers is positive. The sum of two negative integers is negative. To find the sum of two integers with different signs, subtract their absolute values and use the sign of the integer with the greater value. When you subtract an integer, you add its additive inverse.
Homework: Page 207 # 4-13 all AND Page 219 # 7-12 and 14-17 Course 2, Lesson 3-1
