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INTEGERS

Integers Are numbers which Can be positive or negative. They Do NOT have decimals and they Do NOT have Fractions<br>

Shiv1
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INTEGERS

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  1. Created By Shivali

  2. Arenumbers Canbe positiveor negative Do NOThave decimals Do NOT have fractions

  3. INTEGERS NON- INTEGERS 5 4.5 10059 -33 -478 29 -3.33 2/3 -6½ -83.9

  4. When youcount, yousay 1, 2, 3, 4, 5… You are listingINTEGERS To count inthe other direction,it is-1, -2,-3, -4, - 5…

  5. POSITIVE NEGATIVE When thetemperature When thetemperature isabove zero isbelowzero When youare above When youare below ground ground When youearn money When youspendmoney Inhockey,when your team scoresa goal while you are on theice Inhockey,when the otherteam scoresa goal while you areon theice

  6. Positiveintegersincreasein incrementsof one as you moveto theright Negativeintegersmirror this moving to the left of zero,however, even though theyappear to be getting bigger, they are actuallygetting smaller -5is one numbersmallerthan-4, for example

  7. You already knowhow to add positiveintegers…you just haven’t called them integersbefore!

  8. 5+ 3 =8 Youjustadded the integers positive5 and positive3 and foundoutthe answer was positive8!

  9. Adding negativeintegersis just like adding positiveintegers…onlydifference…theanswer willhavea negative sign -6+(-5)= -11 Allyou do is ignorethe negativesigns and add thenumbers,thenputthe negative signbackin youranswer THISONLY WORKSIFBOTHNUMBERS ARE NEGATIVE!!

  10. Onthe previous slide we saw a diagram of the problem6 + (-2) Tosolve this, theystarted at zeroand movedto theright 6 places – to representthe positive 6 Next, they moved left 2 places– this representedthe-2 Theylanded on the number4 (positive 4) whichis the answer

  11. Using a numberlineis a great wayto practice whenyouare first learningto add numbers withdifferentsigns– but thereis another way Wecan usethe absolute value of a numberand subtractionto solve additionproblems involvingintegersof differentsigns

  12. Here’show with the help of absolute value… 1)findthe absolutevalue ofeachnumberbeing added 2) subtract the smallerabsolute value from the largerabsolute value 3) the sign ofthe numberwith the larger absolutevalue is the sign ofthe answer

  13. 21+ 29 = 50 -21+ (-29)= -50 29+ (-21)= 8 |29|= 29|-21|= 21 29– 21 = 8 29is +,so answeris + 21+ (-29)= -8 |-29|= 29|21|= 21 29– 21 = 8 29is -, so answeris-

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