Exercise 10 Page 49

We want to find the given product. - 3 78 * (- 5 34) Before evaluate the expression, will rewrite the mixed numbers as fractions. When multiply real numbers, the product of an integer a by an integer b is always positive if those integers have the same sign. cc Same Sign & Different Signs (+)(+)=(+) & (+)(-)=(-) (-)(-)=(+) & (-)(+)=(-) In our case both numbers are negative, so the product will be positive. Remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the product!

- 31/8 * (- 23/4 )

MoveNegDenomToNum

Put minus sign in numerator

- 31/8 * (- 23/4 )

RemovePar

Remove parentheses

- 31/8 * - 23/4

MultFrac

Multiply fractions

- 31* - 23/2* 3

MultNegNegOnePar

- a(- b)=a* b

31* 23/8* 4

Multiply

Multiply

713/32

The product is 71332. We can also write this fraction as a mixed number.

713/32

WriteSum

Write as a sum

704+9/32

WriteSumFrac

Write as a sum of fractions

704/32+9/32

CalcQuot

Calculate quotient

22 +9/32

AddTerms

Add terms

22 932