Multiplying And Dividing Integers

Tutoring on Multiplying And Dividing Integers

Learning Objectives:

Understand and Apply Multiplication and Division of Integers

Math Tutoring on Multiplying and Dividing Integers

Multiplication of Natural Numbers can be viewed as Repeated Addition.

 means 3 groups of 5 or .

Commutative Property: When two numbers are multiplied together, the product is the same regardless of the order, i.e. .

The Product of Signed number:

    To multiply a positive number and a negative number, multiply their Absolute Values. The answer is negative. i.e  &  .

    To multiply two positive or negative numbers, multiply their Absolute Values. The answer is positive, i.e.  &.

When three or more numbers are multiplied, we can just multiply two at a time or

    The product of an Even number of negative numbers is positive.

    The product of an Odd number of negative numbers is negative.

The Multiplicative Property of Zero:

For any Real Number ‘a’,  . (The product of 0 and any real number is 0.)

When dividing two integers:

    If the signs are same, the Quotient is positive.

 &

    If the signs are different the Quotient is negative.

  & 

Division Property of Zero:

For any Real Number ‘a’, ,, and for a≠0.

 

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Hook Questions:

1.    What are the Rules for Multiplication and Division of signed Integers?

2.    Describe the Multiplicative and Division Property of Zero.

 

 

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