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Integers What????

Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

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Page 1: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

Integers

What????

Page 2: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

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.

Page 3: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

IntegersKnow the signs

+ Positive (If it has NO sign, it is

POSITIVE.)

- Negative (AKA: opposite of)

Page 4: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

Integers-

+

+

-

In order from least to greatest

-25, -5, -2, 0, 10, 51, 78

Page 5: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

Integers+

+

-

-

Correct order from least to greatest?

5, -1, -5, 1, 11, -11, 0

-11, -5, -1, 0, 1, 5, 11

The correct order is…

Page 6: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

Adding

Think MONEY!!

$$$$ $$$$

Page 7: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

AddingSigns the same??Add and keep the

signs+2 + +3 = -2 + -3 =

+5-5

Page 8: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

Think MONEY!!

Sue has $2. Nancy gives her $3. Has much does Sue have now?

+2 + +3 = +5

Page 9: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

Think MONEY!!

Sue owes $2. She needs to pay Miss Dixson $3. How much does Sue owe now?

-2 + -3 = -5

Page 10: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

AddingSigns different??Actually subtract

Keep the sign of the “larger” number

Page 11: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

AddingSigns different??

+2 + -3 = -1(3 - 2 =1 Use the

sign of the 3 because 3 is larger than 2)

Page 12: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

AddingSigns different??

Sue wrote a check for $2. Billy gave Sue $3. How

much does Sue have now? -2 + +3 = +1

Page 13: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

Adding

Think MONEY!!$$$$ $$$$

Remember When

Page 14: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

SubtractingDo you already know how

add integers?

YES!

Page 15: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

Cool!

If you know how to add, you can also subtract.

Subtracting

Page 16: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

SubtractingChange the sign of the

2nd integer and add

That’s it! Easy, huh?

+2 - -3 = +5

Page 17: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

Subtracting

Change the sign of the 2nd integer and add

ALWAYS the 2nd integer

Page 18: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

SubtractingChange the sign of the 2nd

integer and add (Now it is just like what we’ve done in the past.)

+2 - -3 =+5

Page 19: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

MultiplyingIf the signs are the same, the

product will be positive.

+ x + = + - x - = ++2 x +3 = +6-2 x -3 = +6

Page 20: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

MultiplyingIf the signs are different, the

product will be negative.

+ x - = - - x + = -

+2 x -3 = -6-2 x +3 = -6

Page 21: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

DividingIf the signs are the same, the result will be positive.

+ ÷ + = + - ÷ - = ++6 ÷ +3 = +2-6 ÷ -2 = +3

Page 22: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

DividingIf the signs are different, the result will be negative.

+ ÷ - = - - ÷ + = -

+6 ÷ -3 = -2-6 ÷ +3 = -2

Page 23: Integers What? ? ? ?. Integers + + - - An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10,

IntegersAren’t they

fun????