Integer Cheat Sheet .pdf

INTEGER CHEAT SHEET

Integers- A set of positive and negative whole numbers. They can be represented

on a number line.

THE NUMBER LINE

NEGATIVE NUMBERS

POSITIVE NUMBERS

Absolute Value- The distance a number is from zero on the number line. An absolute value is

never negative. Examples: l -5 l = 5 and l 5 l = 5

ADDING INTEGERS

SAME SIGN- Add and Keep the Sign!

Add the absolute value of the numbers and

keep the same sign.

(positive) + (positive) = Positive

(+4) + (+5) = +9

(negative) + (negative) = Negative

(-4) + (-5) = -9

DIFFERENT SIGNS- Subtract and Keep

the Sign of the Bigger Number!

Subtract the absolute value of the numbers

and keep the sign of the bigger number.

(-4) + (+5) = +1

(+4) + (-5) = -1

SUBTRACTING INTEGERS

Do not subtract integers. You must

change the signs:

“Add the Opposite”

KEEP- Keep the sign of the first number

CHANGE- Change the subtraction sign to

addition

CHANGE- Change the sign of the second

number to the opposite sign. If it is

positive- change to negative. If it is

negative- change to positive.

(+4) – (-4)

Keep change change

(+4) + (+4)

NOW USE THE RULES FOR ADDING:

SAME SIGN- Add absolute values and keep

sign:

(+4) + (+4) = 8

MULTPLYING INTEGERS

SAME SIGNS- POSITIVE

Multiply the numbers. Answer will be positive.

(-5) !×! (-5) = +25

DIFFERENT SIGNS- NEGATIVE

Multiply the numbers. Answer will be negative

(+5) !×! (-5) = -25

DIVIDING INTEGERS

SAME SIGNS- POSITIVE

Divide the numbers. Answer will be positive.

(-5) !÷ (-5) = +1

DIFFERENT SIGNS- NEGATIVE

Divide the numbers. Answer will be negative

(+5) !÷!!(-5) = -1