Add Real Numbers Warm Up Lesson Presentation Lesson Quiz.

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Presentation transcript:

Add Real Numbers Warm Up Lesson Presentation Lesson Quiz

Warm-Up 1. 0.43 + 1.27 = ? ANSWER 1.7 2. 4 + 2 = 5 6 2 3 ? ANSWER 7 1 2

Warm-Up 3. Ned wants to ship 3 books in a box with a weight limit of 25 pounds. The books weigh 8.4 pounds, 7.9 pounds, and 9.2 pounds. Can he ship them in the box? Explain. ANSWER No; the total weight of the books is 25.5 pounds and 25.5 > 25.

Example 1 Use a number line to find the sum. a. – 3 + 6 ANSWER The final position is 3. So, – 3 + 6 = 3.

Example 1 b. – 4 + (– 5) ANSWER The final position is – 9. So, – 4 + (– 5) = – 9.

Guided Practice Use a number line to find the sum. 1. 7 +(– 2) 2. 8 +(– 11) ANSWER 5 ANSWER – 3 4. –1 + (– 4) 3. – 8 + 4 ANSWER – 4 ANSWER – 5

Example 2 Find the sum. a. – 5.3 + (– 4.9) = – ( – 5.3 + – 4.9 ) = – ( – 5.3 + – 4.9 ) Rule of same signs = – (5.3 + 4.9) Take absolute values. = – 10.2 Add. b. 19.3 + (–12.2) = 19.3 – –12.2 Rule of different signs = 19.3 – 12.2 Take absolute values. = 7.1 Subtract.

Guided Practice Find the sum. 5. – 0.6 + (– 6.7) = – 7.3 6. 10.1 + (– 16.2) = – 6.1 7. – 13.1 + 8.7 = – 4.4

Example 3 Identify the property being illustrated. Statement Property illustrated a. (x + 9) + 2 = x + (9 + 2) Associative property of addition b. 8.3 + (– 8.3) = 0 Inverse property of addition c. – y + 0.7 = 0.7 + (– y) Commutative property of addition

Guided Practice Identify the property being illustrated. 8. 7 + (– 7) = 0 Inverse property of addition 9. – 12 + 0 = – 12 Identity property of addition 10. 4 + 8 = 8 + 4 Commutative property of addition

Example 4 BUSINESS The table shows the annual profits of two piano manufacturers. Which manufacturer had the greater total profit for the three years?

Example 4 SOLUTION STEP 1 Calculate the total profit for each manufacturer. Manufacturer A: Manufacturer B: Total profit = – 5.8 + 8.7 + 6.8 Total profit = – 6.5 + 7.9 + 8.2 = – 6.5 + (7.9 + 8.2) = – 5.8 + (8.7 + 6.8) = – 5.8 + 15.5 = – 6.5 + 16.1 = 9.7 = 9.6 STEP 2 Compare the total profits: 9.7 > 9.6. ANSWER Manufacturer A had the greater total profit.

Profit (millions) for manufacturer A Guided Practice 11. WHAT IF? In Example 4, suppose that the profits for year 4 are – $1.7 million for manufacturer A and – $2.1 million for manufacturer B. Which manufacturer has the greater total profit for the four years? Year Profit (millions) for manufacturer A Profit (millions) for manufacturer B 1 – $5.8 – $6.5 2 $8.7 $7.9 3 $6.8 $8.2 4 – $1.7 – $2.1 ANSWER Manufacturer A has the greater total profit.

Lesson Quiz Find the product. 1. 7.6 + (–9) ANSWER –1.4 2. –23.7 + 28.2 + 8.3 ANSWER 12.8 What property is illustrated by (–y + 3) + 6 = –y + (3 + 6)? 3. ANSWER Associative property of addition

Lesson Quiz The table shows the account ledgers for the Science Club and the Astronomy Club. Which club has the greater assets at the end of 3 weeks? 4. ANSWER The Astronomy Club has greater assets since $92.50 > $90.55.