integers concepts and definitions for signed numbers 1copyright 2012 by lynda aguirre

Integers

Concepts and definitionsfor Signed Numbers

1Copyright 2012 by Lynda Aguirre

DefinitionsN: 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


Number Line

Representations of Integers Temperature

Color Coding


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


Practice Problems

12

7


Integers in Word Problems

The temperature in Fargo, ND is -12 degrees. On the same day, the temperatureIn Anchorage, AK is -52. How much colder is it in Anchorage?


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


Sammy owns a hotdog stand. If he sold 45 hot dogs at lunch timeat $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?


Sign Rules

Sign Rules for Integers

Addition & Subtraction

Multiplication and Division

Same Sign: ++ or - -

*Add the numbersKeep the sign of the

bigger number

Two negatives make a positive

Different Signs:+ - or - +

Big – SmallKeep the sign of the

bigger number

One negative staysnegative


Practice Problems


integers concepts and definitions for signed numbers 1copyright 2012 by lynda aguirre

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