Class Trip Budget: The Decimal Audit

Use long division to check bus costs, meal shares, and museum fees.

Convert the Budget Entries

Use long division. Write exact decimals, not rounded values. In this worksheet, parentheses mark the repeating block: 0.2(7) means 0.2777… .

The class divides its planned trip budget among three expenses.

Planned Budget Shares
Expense	Fraction of budget
Bus	9/40
Meals	13/50
Museum tickets	103/200

Write the bus share as a decimal.

Use the Planned Budget Shares table in question 1.

Write the meal share as a decimal. Write the museum ticket share as a decimal.

A meal-price adjustment reduces each student's planned cost by 7/40 dollar. The budget records reductions as negative numbers.

Convert −7/40 to a signed decimal. dollar

A museum workshop costs $29 for a group of 8 students. Before rounding to cents, which exact decimal gives one student's equal share?

A. The share is 3.62 dollars.B. The share is 3.625 dollars.C. The share is 3.63 dollars.D. The share is 3.125 dollars.

Follow the Division

Track quotient digits and remainders. A zero remainder ends the decimal; a repeated nonzero remainder starts the same division steps again.

Eight of the 15 meal orders are vegetarian. This table begins the conversion of 8/15. Each new dividend comes from bringing down a zero.

Dividing 8 by 15
Decimal place	Dividend	Quotient digit	Remainder
Tenths	80	5	5
Hundredths	50	3	5
Thousandths	50	?	?

What is the thousandths digit? What is the remainder after that digit?

The bus deposit is 5/22 of the total bus charge. Which exact decimal represents this fraction?

A. 0.2(27)B. 0.227C. 0.(227)D. 0.22(7)

Twenty-three of the 80 museum tickets have been paid for. Convert the paid fraction using long division.

23/80 =

The treasurer is checking fractions from several draft budgets. Select every fraction whose decimal terminates. Simplify or use long division to check.

The class converts a budget fraction with denominator 17. Why must its decimal terminate or eventually repeat?

A. There are only 17 possible remainders, so a remainder becomes zero or repeats.B. Every nonzero remainder decreases, so the quotient must eventually reach zero.C. There are 17 decimal places, so the quotient must stop by the seventeenth place.D. Every quotient digit is different, so the quotient must eventually repeat digits.

Check the Payment Plan

Use exact decimal forms to evaluate the class's payment records. Round only when a question specifically discusses rounding.

10.

A $13 meal-supply charge is divided equally among 6 students. The draft budget lists each share as exactly $2.17. Which statement correctly checks this entry?

A. The exact share is 2.(16) dollars; 2.17 is rounded to the nearest cent.B. The exact share is 2.1(6) dollars; 2.17 is rounded to the nearest cent.C. The exact share is 2.17 dollars; the division has no remainder.D. The exact share is 2.16 dollars; 2.17 is greater than the exact share.

11.

A $125 bus surcharge is shared equally by 24 students. Which exact decimal should appear in the calculation record before any payment is rounded?

A. 5.2083 dollarsB. 5.20(83) dollarsC. 5.(2083) dollarsD. 5.208(3) dollars

12.

A museum refunds a $31 group fee to 16 students equally. The treasurer records each student's refund as a negative adjustment of −31/16 dollars.

Write the exact signed decimal adjustment. dollars

13.

Six of the 28 students request a packed meal. Use long division to convert 6/28. Which exact decimal shows the shortest repeating block?

A. 0.2142857B. 0.(2142857)C. 0.2(142857)D. 0.21(42857)

14.

The class has a $10 meal credit to divide equally among 16 students. Priya says, “The decimal for 10/16 terminates, so everyone can receive an exactly equal refund using whole cents.” Use long division to find the exact dollar share. Explain whether Priya's conclusion about whole cents is correct.