Multiplying and Dividing Integers and Multiplying and Dividing Terms
Multiplying and Dividing Integers and Multiplying and Dividing Terms is a Grade 8 algebra skill in Saxon Math Course 3, Chapter 4, where students apply sign rules for multiplying and dividing positive and negative integers, and extend those rules to algebraic terms with variables and coefficients. Mastery of integer multiplication and division underpins all algebraic simplification and equation solving.
Key Concepts
New Concept The new rule for multiplying and dividing integers concerns their signs: If the two numbers have the same sign, the answer is positive. If the two numbers have different signs, the answer is negative. What’s next Now, let's apply this. We'll solve problems involving exponents and variables, and see how the rule works when expanding algebraic expressions.
Common Questions
What are the sign rules for multiplying integers?
Positive times positive equals positive. Negative times negative equals positive. Positive times negative (or negative times positive) equals negative.
What are the sign rules for dividing integers?
The same sign rules apply to division: same signs give a positive result, different signs give a negative result.
How do you multiply algebraic terms?
Multiply the coefficients together and multiply the variable parts together. For example, 3x times 4y = 12xy. Apply sign rules to the coefficients.
How do you divide algebraic terms?
Divide the coefficients and divide the variable parts using exponent rules. For example, 12x squared divided by 4x = 3x.
Where are multiplying and dividing integers and terms taught in Grade 8?
This skill is covered in Saxon Math Course 3, Chapter 4: Algebra and Measurement.