Integers Concepts and definitions for Signed Numbers 1Copyright 2012 by Lynda Aguirre.

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Presentation transcript:

Integers Concepts and definitions for Signed Numbers 1Copyright 2012 by Lynda Aguirre

Definitions N: Natural (counting) Numbers {1, 2, 3, 4,…} you naturally start to count objects with 1, 2,… W: Whole Numbers {0, 1, 2, 3, 4,…} Add a “hole” (a zero) to the natural numbers Z: Integers {…, -3, -2, -1, 0, 1, 2, 3, 4,…} Integers are the first extension to the set of whole numbers 2Copyright 2012 by Lynda Aguirre

Number Line Representations of Integers Temperature Color Coding 3Copyright 2012 by Lynda Aguirre

Absolute Value Definition: The distance from zero to any integer Symbol: This is asking the question: How far is it from zero to negative five on a number line? 5 spaces 4Copyright 2012 by Lynda Aguirre

Practice Problems Copyright 2012 by Lynda Aguirre

Integers in Word Problems The temperature in Fargo, ND is -12 degrees. On the same day, the temperature In Anchorage, AK is -52. How much colder is it in Anchorage? 6Copyright 2012 by Lynda Aguirre

Sue had $15 in her checking account. If she wrote a check for $25, and the Bank charged her $20 for being overdrawn, what is her current account balance? Add the two negative numbers first 7Copyright 2012 by Lynda Aguirre

Sammy owns a hotdog stand. If he sold 45 hot dogs at lunch time at $3 each, how much money did he make? Sammy sells a total of 427 hot dogs this week. If he pays a cart rental fee of $500 a week, how much money does he have at the end of the week? 8Copyright 2012 by Lynda Aguirre

Sign Rules Sign Rules for Integers Addition & Subtraction Multiplication and Division Same Sign: ++ or - - *Add the numbers Keep the sign of the bigger number Two negatives make a positive Different Signs: + - or - + Big – Small Keep the sign of the bigger number One negative stays negative 9Copyright 2012 by Lynda Aguirre

Practice Problems 10Copyright 2012 by Lynda Aguirre