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# 7.8 multiplying real numbers

7.8

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### 7.8 multiplying real numbers

1. 1. Multiplying Signed Numbers GUIDED EXAMPLE 1 Multiply. SOLUTION STEP RESULT Multiply the numerical parts. Determine the sign of the product. Answer The two factors have different signs, so the sign of the product is negative.
2. 2. Multiplying Signed Numbers GUIDED EXAMPLE 2 Multiply. SOLUTION STEP RESULT Multiply the numerical parts. Determine the sign of the product. Answer The two factors have different signs, so the sign of the product is negative.
3. 3. Multiplying Signed Numbers GUIDED EXAMPLE 3 Multiply. SOLUTION STEP RESULT Convert the mixed number into an improper fraction. Multiply the numerical parts. Determine the sign of the product. The two factors have different Answer signs, so the sign of the product is negative. Convert the improper fraction into a mixed number.
4. 4. Multiplying Signed Numbers GUIDED EXAMPLE 4 Multiply. SOLUTION STEP RESULT Multiply the numerical parts. Determine the sign of the product. Answer The two factors have different signs, so the sign of the product is negative.
5. 5. Multiplying Signed Numbers GUIDED EXAMPLE 5 Multiply. SOLUTION STEP Multiply the numerical parts. RESULT Determine the sign of the product. Answer The two factors have the same sign, so the sign of the product is positive.
6. 6. Multiplying Signed Numbers GUIDED EXAMPLE 6 Multiply. SOLUTION STEP Multiply the numerical parts. RESULT Determine the sign of the product. Answer The two factors have the same sign, so the sign of the product is positive.
7. 7. Multiplying Signed Numbers GUIDED EXAMPLE 7 Multiply. SOLUTION STEP RESULT Multiply the numerical parts. Determine the sign of the product. The two factors have the same Answer sign, so the sign of the product is positive.
8. 8. Multiplying Signed Numbers GUIDED EXAMPLE 8 Multiply. SOLUTION STEP PROCESS Multiply the numerical parts of the first two numbers. RESULT Multiply the product by the numerical part of the next number. Multiply that product by the numerical part of the next number. Determine the sign of the product. There is an even number of negative factors. Answer Positive product
9. 9. Multiplying Signed Numbers GUIDED EXAMPLE 9 Multiply. a. NUMBER OF NEGATIVE FACTORS EXAMPLE PRODUCT b. c. d.
10. 10. Multiplying Signed Numbers GUIDED EXAMPLE 10 Multiply. a. NUMBER OF NEGATIVE FACTORS EXAMPLE PRODUCT b. c. d.
11. 11. Study Guide Procedure: MULTIPLYING TWO NUMBERS WITH DIFFERENT SIGNS To multiply two numbers with different signs: 1. Multiply the absolute values, or the numerical parts. 2. Your answer will always be negative. Procedure: MULTIPLYING TWO NUMBERS WITH THE SAME SIGN To multiply two numbers with the same sign: 1. Multiply the absolute values, or the numerical parts of the numbers. 2. Your answer will always be positive. Notes: When multiplying an even number of negative factors, the product is positive. When multiplying an odd number of negative factors, the product is negative.

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