Rules for Operations with Integers

By: Vladimir Hernandez and Alysa Pérez

Rules for Adding with Integers

Rule: Adding two positive integers always give a positive sum; adding two negative integers always give a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.


Examples:


  1. 1 + (-3) = 4

  2. 2 + 3 = 5

  3. -3 + 4 = 1

RULES FOR SUBTRACTING WITH INTEGERS

Rule: To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative. If the signs are different subtract the smaller absolute value from the larger absolute value.


Examples:

1-. 14 - (-6) = 20

2-. 5 - (-2) = 7

3-. 12- (-6) = 18

RULES FOR MULTIPLYING WITH INTEGERS

Rule: To multiply or divide signed integers, always multiply or divide the absolute values and use these rules to determine the sign of the answer: The product of two positive integers or two negative integers is positive. The product of a positive integer and a negative integer is negative.


Example:


  1. 3 x -6= -18

  2. 4 x 4= 16

  3. -4 x 6= -24

RULES FOR DIVIDING WITH INTEGERS


Rule: Division of Integers is similar to division of whole numbers (both positive) except the sign of the quotient is determined.


Example:


  1. 3 x -6= -18

  2. 4 x 4= 16

  3. -4 x 6= -24
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Bibliography:

* Genny Philipps. "Integers Adding and Subtracting." Integers Adding and Subtracting. Aufrufe, 25 Jan. 2012. Web. 11 Feb. 2016.


* Passy. "Multiplying Integers." Passys World of Mathematics. N.p., 03 Feb. 2012. Web. 11 Feb. 2016.


*Adding- "Adding With Intergers." Mathgoodies. N.p., n.d. Web. 11 Feb. 2016. <www.mathgoodies.com/lessons/vol5/addition.html>.


*Multiplying- "Multipplying with Intergers." Math.com. N.p., n.d. Web. 11 Feb. 2016. <www.math.com/school/subject1/lessons/S1U1L12GL.html>.


*Division- "Divison with Negative Signs." AAAmath. N.p., n.d. Web. 11 Feb. 2016. <http://www.aaamath.com/div65_x2.htm>.


* Subtracting- "Subtracting with Intergers." MathGoodies. N.p., n.d. Web. 11 Feb. 2016. <http://www.mathgoodies.com/lessons/vol5/subtraction.html>.

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