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Class Trip Budget: The Decimal Audit worksheet preview

Worksheet

Class Trip Budget: The Decimal Audit

Convert rational numbers to exact decimals while checking a class trip budget, including terminating and repeating decimals.

Grade 7MathInteractive · Printable

Aligned to7.NS.A.2.d

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 7
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

  • Students use long division to convert positive and negative rational numbers to exact decimals.
  • Students identify terminating and repeating decimals using division remainders.
  • Students distinguish exact decimal amounts from rounded budget entries.

How to use

Have students show long division on separate paper. Review repeated remainders together, then discuss why an exact decimal dollar amount may still require rounding to cents.

Curriculum

Common Core standard covered

7.NS.A.2.d

Change a rational number to a decimal with long division and know the decimal either ends or repeats.

Preview

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Name Date

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… .

1.
The class divides its planned trip budget among three expenses.
Planned Budget Shares
ExpenseFraction of budget
Bus9/40
Meals13/50
Museum tickets103/200

Write the bus share as a decimal.  

2.
Use the Planned Budget Shares table in question 1.

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

3.
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

4.
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.

5.
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 placeDividendQuotient digitRemainder
Tenths8055
Hundredths5035
Thousandths50??

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

6.
The bus deposit is 5/22 of the total bus charge. Which exact decimal represents this fraction?
  • A. 0.2(27)
  • B. 0.227
  • C. 0.(227)
  • D. 0.22(7)
7.
Twenty-three of the 80 museum tickets have been paid for. Convert the paid fraction using long division.

23/80 =  

8.
The treasurer is checking fractions from several draft budgets. Select every fraction whose decimal terminates. Simplify or use long division to check.

18/487/3014/3533/555/18

9.
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 dollars
  • B. 5.20(83) dollars
  • C. 5.(2083) dollars
  • D. 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. 0.2142857
  • B. 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.

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