7.8 multiplying real numbers
TRANSCRIPT
Multiplying Signed Numbers GUIDED EXAMPLE 1 Multiply.
Multiply the numerical parts.
RESULTSTEP
Determine the sign of the product.
Answer
SOLUTION
The two factors have different signs, so the sign of the product is negative.
Multiplying Signed Numbers GUIDED EXAMPLE 2 Multiply.
Multiply the numerical parts.
RESULTSTEP
Determine the sign of the product.
Answer
SOLUTION
The two factors have different signs, so the sign of the product is negative.
Multiplying Signed NumbersGUIDED EXAMPLE 3 Multiply.
Convert the mixed number into an improper fraction.
RESULTSTEP
Multiply the numerical parts.
Answer
SOLUTION
Determine the sign of the product. The two factors have different signs, so the sign of the product is negative.
Convert the improper fraction into a mixed number.
Multiplying Signed Numbers GUIDED EXAMPLE 4 Multiply.
Multiply the numerical parts.
RESULTSTEP
Determine the sign of the product.
Answer
SOLUTION
The two factors have different signs, so the sign of the product is negative.
STEP
Multiplying Signed Numbers GUIDED EXAMPLE 5 Multiply.
Multiply the numerical parts.
RESULT
Determine the sign of the product.
Answer
SOLUTION
The two factors have the same sign, so the sign of the product is positive.
STEP
Multiplying Signed Numbers GUIDED EXAMPLE 6 Multiply.
Multiply the numerical parts.
RESULT
Determine the sign of the product.
Answer
SOLUTION
The two factors have the same sign, so the sign of the product is positive.
STEP
Multiplying Signed NumbersGUIDED EXAMPLE 7 Multiply.
RESULT
Multiply the numerical parts.
Answer
SOLUTION
Determine the sign of the product. The two factors have the same sign, so the sign of the product is positive.
Multiply the numerical parts of the first two numbers.
PROCESSSTEP
SOLUTION
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.
Multiplying Signed NumbersGUIDED EXAMPLE 8 Multiply.
Answer
Positive product
a.
NUMBER OF NEGATIVE FACTORS
EXAMPLE PRODUCT
b.
c.
d.
Multiplying Signed NumbersGUIDED EXAMPLE 9 Multiply.
a.
NUMBER OF NEGATIVE FACTORS
EXAMPLE PRODUCT
b.
c.
d.
Multiplying Signed NumbersGUIDED EXAMPLE 10 Multiply.
Study Guide
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 DIFFERENT SIGNS
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.
Procedure: MULTIPLYING TWO NUMBERS WITH THE SAME SIGN
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.