EXAMPLE 2 Add real numbers Find the sum. Rule of same signs Take absolute values. = – (5.3 + 4.9) = – 10.2 Add. a. – 5.3 + (– 4.9) Rule of different signs.

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Presentation transcript:

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

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

The table shows the annual profits of two piano manufacturers. Which manufacturer had the greater total profit for the three years ? EXAMPLE 4 Solve a multi-step problem BUSINESS YearProfit (millions) for manufacturer A Profit (millions) for manufacturer B 1– $5.8– $6.5 2$8.7$7.9 3$6.8$8.2

SOLUTION EXAMPLE 4 Solve a multi-step problem STEP 1 Calculate the total profit for each manufacturer. Manufacturer A: Total profit = – = – ( ) = – = 9.7

EXAMPLE 4 Solve a multi-step problem Manufacturer B: Total profit = – = – ( ) = – = 9.6 STEP 2 Compare the total profits: 9.7 > 9.6. ANSWER Manufacturer A had the greater total profit.

GUIDED PRACTICE for Examples 2, 3 and 4 Find the sum. = – – (– 6.7) = – (– 16.2) 7. – = – 4.4 Identify the property being illustrated (– 7) = 0 Inverse property of addition 9. – = – 12 Identity property of addition = Commutative property of addition

GUIDED PRACTICE for Examples 2, 3 and 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? YearProfit (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

GUIDED PRACTICE for Examples 2, 3 and 4 ANSWER Manufacturer A has the greater total profit.