Exercise 4 Page 60

When dividing real numbers, the quotient 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 quotient will be positive. Before evaluate this expression, we will rewrite the decimal number as a fraction. We will write fractions with 1 in the denominator.

- 0.05÷ (- 5/8)

NumberToFrac

a = 1* a/1

- 0.05 * 1/1 ÷ (- 5/8)

MultByOne

a * 1=a

- 0.05/1 ÷ (- 5/8)

The calculations are easier if we multiply the divisor and the dividend by the same power of 10 so that the divisor is a whole number. In this case, we will multiply by 100 the numerator and denominator of both fractions.

- 0.05/1 ÷ (- 5/8)

ExpandFrac

a/b=a * 100/b * 100

- 0.05* 100/1* 100 ÷ (- 5/8)

Multiply

Multiply

- 5/100 ÷ (- 5/8)

Now that we have the fractions, we can evaluate the division. Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. - 5/100 ÷ (- 5/8)= - 5/100* (- 8/5) When we multiply fractions, we need to 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 given product!

- 5/100* (- 8/5)

MultNegNegOnePar

- a(- b)=a* b

5/100* 8/5

MultFrac

Multiply fractions

5* 8/100* 5

Multiply

Multiply

40/500

ReduceFrac

a/b=.a / 20./.b / 20.

40/ 20/500/ 20

CalcQuot

Calculate quotient

2/25

When dividing real numbers, the quotient 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 one number is positive and one number is negative, so the quotient will be negative. Before evaluate the expression, will rewrite the mixed number as a fraction.

6 14 ÷ (- 5/16)

MixedToFrac

a bc=a* c+b/c

6* 4 +1/4 ÷ (- 5/16)

Multiply

Multiply

24+1/4 ÷ (- 5/16)

AddTerms

Add terms

25/4 ÷ (- 5/16)

Now that we have the fractions, we can evaluate the division. Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 25/4 ÷ (- 5/16)= 25/4 * (- 16/5) When we multiply fractions, we need to 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 given product!

25/4 * (- 16/5)

MultPosNeg

a(- b)=- a * b

- 25/4* 16/5

MultFrac

Multiply fractions

- 25* 16/4* 5

Multiply

Multiply

- 400/20

CalcQuot

Calculate quotient

- 20

When dividing real numbers, the quotient 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 one both numbers are negative, so the quotient will be positive. Before evaluate the expression, will rewrite the all the terms as fractions.

- 1÷(- 10/13 )

NumberToFrac

a = 1* a/1

- 1 * 1/1÷(- 10/13 )

MultByOne

a * 1=a

- 1/1÷(- 10/13 )

Now that we have the fractions, we can evaluate the division. Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. - 1/1÷(- 10/13 )= - 1/1 * (- 13/10) When we multiply fractions, we need to 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 given product!

- 1/1 * (- 13/10)

MultNegNegOnePar

- a(- b)=a* b

1/1* 13/5

MultFrac

Multiply fractions

1* 13/1* 10

MultByOne

a * 1=a

13/10