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Integers What???? Integers An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10, 0, -25, and 5,148 are all integers. Integers Know the signs + Positive (If it has NO sign, it is POSITIVE.) - Negative (AKA: opposite of) Integers In order from least to greatest -25, -5, -2, 0, 10, 51, 78 Integers Correct order from least to greatest? 5, -1, -5, 1, 11, -11, 0 The correct order is… -11, -5, -1, 0, 1, 5, 11 Adding Think MONEY!! Adding Signs the same?? Add and keep the signs +2 + + 3 = + 5 -2 + - 3 = 5 Think MONEY!! Sue has $2. Nancy gives her $3. Has much does Sue have now? + 2 + +3 = +5 Think MONEY!! Sue owes $2. She needs to pay Miss Dixson $3. How much does Sue owe now? - 2 + -3 = -5 Adding Signs different?? Actually subtract Keep the sign of the “larger” number Adding Signs different?? + 2 + -3 = -1 (3 - 2 =1 Use the sign of the 3 because 3 is larger than 2) Adding Signs different?? Sue wrote a check for $2. Billy gave Sue $3. How much does Sue have now? -2 + + 3 = + 1 Remember When Adding Think MONEY!! Subtracting Do you already know how add integers? YES! Subtracting If you know how to add, you can also subtract. Cool! Subtracting Change the sign of the 2nd integer and add +2 - -3 = +5 That’s it! Easy, huh? Subtracting Change the sign of the 2nd integer and add ALWAYS the 2nd integer Subtracting Change the sign of the 2nd integer and add (Now it is just like what we’ve done in the past.) +2 - -3 = +5 Multiplying If the signs are the same, the product will be positive. +x+=+ -x-=+ +2 x +3 = +6 -2 x -3 = +6 Multiplying If the signs are different, the product will be negative. +x-=- -x+=+2 x -3 = -6 -2 x +3 = -6 Dividing If the signs are the same, the result will be positive. +÷+=+ -÷-=+ +6 ÷ +3 = +2 -6 ÷ -2 = +3 Dividing If the signs are different, the result will be negative. +÷-=- -÷+=+6 ÷ -3 = -2 -6 ÷ +3 = -2 Integers Aren’t they fun????