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1-4 adding and subtracting integers
Objective: add and subtract with integers and decimals, find absolute value, and evaluate expressions. Ms. Battaglia – algebra 1 CP
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Warm up Simplify.
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Example… You’re at the supermarket and have $4.25 in your pocket. The groceries you buy cost $3.12. How much money do you have left? The groceries you want to buy cost $5.63. How much money do you owe?
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Adding integers and decimals
A number line can help you see the relationship between numbers. Opposites - same distance from zero on the number line. Integers - whole numbers and their opposites. What is the opposite of 3? -5? -100? 0? Name the 2 integers that are a distance of 7 unites from 0.
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The sum of a number and its opposite, or additive inverse, is zero.
definition The sum of a number and its opposite, or additive inverse, is zero.
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example On two plays, a football team gains 2 yd and then loses 7 yd. What is the result of the two plays?
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Addition rules… To add two numbers with the same sign, add their absolute values. The sum has the same sign as the numbers. Examples: = (- 3) + (- 5) = To add two numbers with different signs, find the difference between their absolute values. The sum has the same sign as the number with the greater absolute value. Examples: = ( 3) + (- 5) =
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Find each sum. – 6 + 4 b) ( - 8) c) 4 + (- 6) d) 9 + (- 3)
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Absolute value The absolute value of a number is its distance from zero on a number line. Using symbols, you write the “absolute value of – 6” as |- 6|
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example Find the absolute value. |- 12| | 3.5| |-5 + 3|
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Examples Evaluate each expression for n = 3.5 a) n b) – n
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To subtract a number, add its opposite. Example: 3 – 5 =
Subtraction rule… To subtract a number, add its opposite. Example: 3 – 5 =
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example Find each difference. - 6 – 2 8 – ( - 1) 3 - 13
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classwork P #6bd, 11, 12cd, 15bcd, 16, 17
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homework P #3-7 odd, 8,10,12,29,30, 35 QUIZ IN 2 DAYS!
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