Subtracting Real Numbers

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Presentation transcript:

Subtracting Real Numbers ALGEBRA 1 LESSON 1-5 (For help, go to Lessons 1-3 and 1-4) Find the opposite of each number. 1. 6 2. –7 3. 3.79 4. – Simplify. 5. 3 + (–2) 6. 9.5 + (–3.5) 7. 13 + (–8) 8. + – ( ) 7 19 2 3 1 6 1-5

Subtracting Real Numbers ALGEBRA 1 LESSON 1-5 1. opposite of 6: –6 2. opposite of –7: 7 3. opposite of 3.79: –3.79 4. opposite of – : 5. 3 + (–2) = 1 6. 9.5 + (–3.5) = 6 7. 13 + (–8) = 5 8. + – = + – = = = 7 19 2 3 ( ) 1 6 4 4 + (–1) Solutions 1-5

Subtracting Real Numbers ALGEBRA 1 LESSON 1-5 Subtract –3 – 2 using a number line. Start at –3. Move left 2 units –3 – 2 = –5 1-5

Subtracting Real Numbers ALGEBRA 1 LESSON 1-5 Subtract 4 – (–2) using tiles. Start with 4 positive tiles. Add zero pairs until there are 2 negative tiles. Remove 2 negative tiles. There are 6 positive tiles left. 4 – (–2) = 6 1-5

Subtracting Real Numbers ALGEBRA 1 LESSON 1-5 Simplify –11.6 – (–14). –11.6 – (–14) = –11.6 + 14 The opposite of –14 is 14. = 2.4 Add. 1-5

Subtracting Real Numbers ALGEBRA 1 LESSON 1-5 Simplify |–13 – (–21)|. |–13 – (–21)| = | –13 + 21| The opposite of –21 is 21. = | 8 | Add within absolute value symbols. = 8 Find the absolute value. 1-5

Subtracting Real Numbers ALGEBRA 1 LESSON 1-5 Evaluate x – (–y) for x = –3 and y = –6. x – (–y) = –3 – [–(–6)] Substitute –3 for x and –6 for y. = –3 – 6 The opposite of –6 is 6. = –9 Subtract. 1-5

Subtracting Real Numbers ALGEBRA 1 LESSON 1-5 The temperature in Montreal, Canada, at 6:00 P.M. was –8°C. Find the temperature at 10:00 P.M. if it fell 7°C. Find the temperature at 10:00 P.M. by subtracting 7°C from the temperature at 6:00 P.M. –8 – 7 = –8 + (–7) Add the opposite. = –15 Simplify. The temperature at 10:00 P.M. was –15°C. 1-5

Subtracting Real Numbers ALGEBRA 1 LESSON 1-5 Simplify each expression. 1. 7 – 12 2. 3 – (–8) 3. –7 – 5 Evaluate each expression for x = 3 and y = 4. 4. x – y 5. | – y – x| 6. – – 2 x y 4 x 8 – 5 y –5 11 –12 –1 7 –5 –5 9 0 1-5