Student Name

Busn 149 Business Mathematics

Section:  (Your section letters and number go here)

 

Sample Portfolio

 
Instructor:  S. L. Cox

Spring 2011

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Outcome #1:  Perform fundamental operations of arithmetic (Addition, Subtraction, Multiplication, Division) using whole numbers, fractions, mixed numbers and decimals.

 

Problems and Solutions:

Addition of Whole Numbers:  234 + 1650

                                                à 1884

 

Subtraction of Whole Numbers:  1709 – 1398

                                                à 311

 

Multiplication of Whole Numbers:         (123 items )($16.23 per item)

                                                            à $1996.29 total price

 

Division of Whole Numbers:   2389 divided by 18

                                                à 132.72222…..     (the digit 2 repeats)

 

 

Addition of Fractions:  ½ + ¾ 

                                    2/4 + ¾ becomes 5/4 as an improper fraction

 

Subtraction of Fractions:            5/4 – 7/9    (we must create a common denominator of 36)

                                                45/36 – 28/36

                                                (45 – 28)/36

                                                17/36 is the answer

 

Multiplication of Fractions:        7/11 * 2/3

                                                (7 * 2)/(11 * 3)

                                                14/33 is the answer

 

Division of Fractions:  8/9 divided by ¾ becomes

                                    8/9 multiplied by 4/3 so

                                    (8 * 4)/(9 * 3)

                                    32/27 which is an improper fraction in reduced form

 

Addition of Mixed Numbers:  2_3/4 + 5_6/7

                                                2_21/28 + 5_24/28

                                                7_(21 + 24)/28

                                                7_45/28           Now the fraction part is an improper fraction so we must convert it into a mixed number which is then added to the seven.

                                    7 + 1_17/28 becomes 8_17/28 as a simplified mixed number

 

Subtraction of Mixed Numbers:            5_1/4 – 2_5/9

                                                            5_9/36 – 2_20/36

                        Since 20 cannot be subtracted from 9 we must borrow 1 or 36/36 from the 5

                                                            4_(36 + 9)/36 – 2_20/36

                                                            4_45/36 – 2_20/36

                                                            2_25/36

                                               

Multiplication of Mixed Numbers:   (2_5/7)(3_1/4)      

First the numbers must be converted into improper fractions

                        [(7 * 2 + 5) / 7]  *  [ (4 * 3 + 1) / 4 ]

                        [(14 + 5) / 7 ] * [ (12 + 1) / 4 ]

                        19/7 * 13/4 then multiply straight across

                        (19 * 13) / (7 * 4)

                        247/28 and then convert back into a mixed number

                        8_23/28  is the answer

 

Division of Mixed Numbers:  (3_4/5) divided by (2_1/3)

            First convert the numbers into improper fractions

                                                19/5 divided by 7/3

            Second, flip the right fraction and multiply

                                                19/5 * 3/7

            Multiply straight across to get 57/35 then convert into a mixed number.

                                                1_22/35  is the answer

 

 

Addition of Decimals:   2.14 + 3.567    Line up the decimal point and add to get

                                    5.707  as the answer

 

Subtraction of Decimals:           14.6  -  9.34056           Line up the decimal point,

add place holder zeros as needed

and borrow as necessary.

                                                5.25944 is the answer

 

Multiplication of Decimals:  (2.36)(1.79) becomes

                                                4.2244

 

Division of Decimals:     12.56 divided by 0.03 becomes

                                                418.66666666……. a repeating six

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Outcome #2:  Be able to reconcile a checkbook and bank statement.

 

Problem:  The bank statement for Hunt Company indicated a balance of $1,175.00, while the checkbook balance showed $1,821.00.  Checks outstanding totaled $115.00.  A check printing charge of $35.00 was on the statement.  There was a $76.00 NSF charged to the bank statement.  A deposit in the amount of $650.00 was in transit.  What was the reconciled cash balance?

 

Answer:            Statement Balance                               

                        $1,175.00  given balance

-         115.00 outstanding checks

+ 650.00 outstanding deposits

$1710.00 total which should equal the new total for the checkbook

 

 

 

Checkbook Balance

$1821.00 given balance

-         35.00 check printing fee

-         76.00 NSF charged (deducted)

$1710.00 total

 

Since the two ending balances match, the cash balance is $1,710.00.