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.