10.4 Multiplying and Dividing Signed Numbers What are your objectives for Section 10.4? How can you accomplish each objective? 1 Multiply Two Numbers with Different Signs • Write the procedure for Multiplying Two Numbers with Different Signs in your own words. • Complete the given example on your own. • Complete You Try 1. 2 Multiply Two Numbers with the Same Sign • Write the procedure for Multiplying Two Numbers with the Same Sign in your own words. • Complete the given example on your own. • Complete You Try 2. 3 Divide Signed Numbers • Write the procedure for Dividing Two Signed Numbers in your own words. • Show what this would look like using a number line. Does it make sense? • Complete the given examples on your own. • Complete You Trys 3 and 4. 4 Write Equivalent Forms of a Negative Fraction • Write a summary that describes the three different ways a negative fraction can be written. • Complete the given example on your own. • Complete You Try 5. Read the explanations, follow the examples, take notes, and complete the You Trys. 1 Multiply Two Numbers with Different Signs Recall that multiplication represents repeated addition. For example, we can write 3 3 3 3 3 15 as 3 5 15. We can also write 3 132 132 132 132 15 or 3 5 15. So, what is the rule for multiplying numbers with different signs? Let’s make a table of some products. 3 5 15 2 5 10 1 5 5 0 5 0 1 5 5 2 5 10 3 5 15 the products decrease by 5. As these numbers decrease by 1, Procedure Multiplying Two Numbers with Different Signs The product of a positive number and a negative number is negative. www.mhhe.com/messersmith SECTION 10.4 Multiplying and Dividing Signed Numbers 741
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