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Objective To add integers Example 4-1a

Two numbers with the same absolute value but with different signs Vocabulary Opposites Two numbers with the same absolute value but with different signs 4 -4 Example 4-1a

An integer and its opposite Vocabulary Additive inverse An integer and its opposite 3 -3 Example 4-1a

Additive Inverse Property The sum of any number and its additive inverse is zero 7 + (-7) = 0 x + (-x) = 0 Example 4-1a

Keep sign of largest number Add Integers Same Sign 2. Different Signs Add numbers Subtract numbers Keep sign Keep sign of largest number Example 4-1a

Example 1 Add Integers with the Same Sign Example 3 Add Integers with Different Signs Example 4 Add Integers with Different Signs Example 5 Add Integers with Different Signs Example 6 Add Three or More Integers Example 7 Add Three or More Integers Example 8 Use Integers to Solve a Problem Lesson 4 Contents

Draw arrows to the signs Find Write problem - 8 + ( - 4 ) Draw arrows to the signs Determine if the signs are the same or different Same - 12 12 Same sign, add the numbers without the signs 8 + 4 Keep the sign which is - Answer: - 12 1/8 Example 4-1a

Find Answer: - 9 1/8 Example 4-1b

Draw arrows to the signs Find Write problem - 21 + ( - 5 ) Draw arrows to the signs Determine if the signs are the same or different Same - 26 26 Same sign, add the numbers without the signs 21 + 5 Keep the sign which is - Answer: - 26 2/8 Example 4-2a

Find Answer: - 25 2/8 Example 4-2b

Draw arrows to the signs 4 + ( - 6 ) Write problem Find Draw arrows to the signs 4 + ( - 6 ) Determine if the signs are the same or different Different Different signs, subtract the numbers without the signs 6 - 4 (Remember: big number - small number) - 2 2 Answer: - 2 Keep sign of largest number which is negative 3/8 Example 4-3a

Find Answer: - 2 3/8 Example 4-3b

Draw arrows to the signs Write problem Find Draw arrows to the signs - 5 + 9 Determine if the signs are the same or different Different Different signs, subtract the numbers without the signs 9 - 5 (Remember: big number - small number) 4 Answer: 4 Keep sign of largest number which is positive 4/8 Example 4-4a

Find Answer: 2 4/8 Example 4-4b

Draw arrows to the signs Write problem Find Draw arrows to the signs 33 + ( - 16 ) Determine if the signs are the same or different Different Different signs, subtract the numbers without the signs 33 - 16 (Remember: big number - small number) 17 Answer: 17 Keep sign of largest number which is positive 5/8 Example 4-5a

Find Answer: 10 5/8 Example 4-5b

Follow order of operations rules P E MD AS Different Find Write problem 2 + ( - 5 ) + ( - 3 ) Follow order of operations rules P E MD AS Different Add from left to right Draw arrows to the signs Determine if the signs are the same or different 6/8 Example 4-6a

Different signs, subtract the numbers without the signs 5 - 2 (Remember: big number - small number) Find 2 + ( - 5 ) + ( - 3 ) Different Keep sign of largest number which is negative - 3 - 3 + ( - 3 ) 3 Same Bring down + ( - 3 ) Draw arrows to the signs Determine if the signs are the same or different 6/8 Example 4-6a

Same sign, add the numbers without the signs 3 + 3 Find 2 + ( - 5 ) + ( - 3 ) Keep the sign which is - Different - 3 + ( - 3 ) - 3 3 Same - 6 6 Answer: - 6 6/8 Example 4-6a

Find Answer: - 5 6/8 Example 4-6b

Follow order of operations rules - 17 + 6 + 17 + 20 P E MD AS Find Write problem Follow order of operations rules - 17 + 6 + 17 + 20 P E MD AS Different Add from left to right Draw arrows to the signs Determine if the signs are the same or different 7/8 Example 4-7a

Different signs, subtract the numbers without the signs 17 - 6 (Remember: big number - small number) Find - 17 + 6 + 17 + 20 Different Keep sign of largest number which is negative - 11 11 + 17 + 20 11 Bring down + 17 + 20 Different Draw arrows to the signs Determine if the signs are the same or different 7/8 Example 4-7a

Different signs, subtract the numbers without the signs 17 - 11 Find Remember: big number - small number - 11 + 17 + 20 Keep sign of largest number which is positive Different Bring down + 20 6 + 20 6 Draw arrows to the signs Determine if the signs are the same or different Same 26 Same sign, add the numbers without the signs 6 + 20 Answer: 26 Keep the sign which is + 7/8 Example 4-7a

Find Answer: 12 7/8 Example 4-7b

Write a problem using integers 50 50 + 30 50 + 30 - 65 STOCKS An investor owns 50 shares in a video game manufacturer. A broker purchases 30 shares more for the client on Tuesday. On Friday, the investor asks the broker to sell 65 shares. How many shares of this stock will the client own after these trades are completed? Write a problem using integers 50 50 + 30 50 + 30 - 65 “Owns” refers to a positive integer “Purchase” refers to a positive integer “Sell” refers to a negative integer 8/8 Example 4-8a

Follow order of operations rules 50 + 30 - 65 P E MD AS STOCKS An investor owns 50 shares in a video game manufacturer. A broker purchases 30 shares more for the client on Tuesday. On Friday, the investor asks the broker to sell 65 shares. How many shares of this stock will the client own after these trades are completed? Follow order of operations rules 50 + 30 - 65 P E MD AS Add from left to right Same Draw arrows to the signs Determine if the signs are the same or different 8/8 Example 4-8a

Same sign, add the numbers without the signs 50 + 30 Same STOCKS An investor owns 50 shares in a video game manufacturer. A broker purchases 30 shares more for the client on Tuesday. On Friday, the investor asks the broker to sell 65 shares. How many shares of this stock will the client own after these trades are completed? 50 + 30 - 65 Same sign, add the numbers without the signs 50 + 30 Same 80 - 65 80 Keep the sign which is + Bring down - 65 8/8 Example 4-8a

Draw arrows to the signs STOCKS An investor owns 50 shares in a video game manufacturer. A broker purchases 30 shares more for the client on Tuesday. On Friday, the investor asks the broker to sell 65 shares. How many shares of this stock will the client own after these trades are completed? 80 - 65 Draw arrows to the signs Determine if the signs are the same or different Different 15 Different signs, subtract the numbers without the signs 80 - 65 (Remember: big number - small number) 8/8 Example 4-8a

Keep sign of largest number which is positive STOCKS An investor owns 50 shares in a video game manufacturer. A broker purchases 30 shares more for the client on Tuesday. On Friday, the investor asks the broker to sell 65 shares. How many shares of this stock will the client own after these trades are completed? 80 - 65 Keep sign of largest number which is positive Different Label your answer 15 shares 15 Answer: 15 shares 8/8 Example 4-8a

* MONEY Jaime gets an allowance of $5. She spends $2 on video games and $1 on lunch. Her best friend repays a $2 loan and she buys a $3 pair of socks. How much money does Jaime have left? Answer: $1 8/8 Example 4-8b

Assignment Lesson 1:4 Adding Integers 26 11 - 42 All End of Lesson 4