EXAMPLE 2 Adding Integers Find the sum 12 + – 4.4. + – 4 = 8 – Different signs, so subtract |4| from | 12|. – Use sign of number with greater absolute.

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Presentation transcript:

EXAMPLE 2 Adding Integers Find the sum 12 + – – 4 = 8 – Different signs, so subtract |4| from | 12|. – Use sign of number with greater absolute value.

EXAMPLE 2 Adding Integers Check Use a number line to find the sum.

EXAMPLE 3 Adding More Than Two Integers Find the sum using the order of operations. (–7 + 7) + (–8) +(–5) = 0 + (–8) + (–5) = –8 + (–5) Inverse property of addition Identity property of addition Same sign, so sum has common sign = –13

EXAMPLE 4 Adding More Than Two Integers School Fair Your class has a fair to raise money for a field trip. The table shows the incomes and expenses for the fair. How much money was raised?

EXAMPLE 4 Adding More Than Two Integers SOLUTION First, add the positive integers. Then add the negative integers (–16) + (–60) + (–500) = 835 ANSWER Your class raised $835. = (–576)

GUIDED PRACTICE for Examples 2, 3, and 4 Find the sum. Identify any addition properties you use. 3. –20 + (–15) Same sign, so sum has common sign –20 + (–15) = – (–54) = 18 + (–54) = –36 Identity property of addition Add.

GUIDED PRACTICE for Examples 2, 3, and 4 Find the sum. Identify any addition properties you use (–44) + (–256) Inverse property of addition. = 111 Add negative numbers. = (–300)

GUIDED PRACTICE for Examples 2, 3, and 4 Find the sum. Identify any addition properties you use. 6. –230 + (–512) Add negative numbers. Add positive numbers. Add. = – = – = –470

GUIDED PRACTICE for Examples 2, 3, and 4 7. What If? Suppose in Example 4 that games made $825 and the decorations cost $100. How much money did your class raise? SOLUTION Add the positive integers. Then add the negative integers. = (–100) + (–16) + (–500) = (–616)= 870 ANSWER Your class raised $870.