Name: ______Period: _____

CC4 Rational Numbers: Decimals (Quick Check REVIEW)

DOK1 – Recall and Reproduction

1) Complete the conversions. Simplify all fractions to lowest terms. Then, identify if the decimal is terminating or repeating.

Fraction / Decimal / Type of Decimal
(terminating or repeating)
⅝
0.25
6 ⅔
0.284

2) What is the definition of a rational number? Give two examples of rational numbers.

Evaluate the following problems. Show your work.

3) 4.07 + 3.8 =4)16 – 11.95 =

5) 4.21 × 6.38 =6) 42.56 ÷ 0.8 =

7) The sum of −8.2 and 5.18) 9.5 – (-3.7) =

DOK2- Routine

9) Josh earned a total of $59.95selling handmade birdcages at his family’s yard sale. If he sold 5 birdcages in total, how much did one birdcage cost? / 10) Rosais making eight costumes for a school play. Each costume needs 1.5yards of fabric to make.
a. How many yards of fabric will she need in total to make the eightcostumes?
b. If each yard of fabric costs $5.49, how much will it cost to buy fabric for the costumes?

11) Use the formula to find the volume of the rectangular box. Show all work.

V = l⨉h⨉w

12) Marcia and Joe are making pumpkin pies for a family gathering. Each pie will be cut into10slices. They want to have enough pie so each person can have2slices. Marcia and Joe expect22family members will be at the gathering (including them).

  1. How many pies should Marcia and Joemake so that each person will be able to eat 2slices? Explain your thinking and show all calculations that you make.
  1. If Marcia and Joemake the number of pies determined in part a (above), how many extra slices of pie, if any, will they have? Show your work.

DOK3 – Non-Routine

13) Tony wants to buy a used car. He finds two cars that he likes and records information about each of the cars in the chart below.

Car / Purchase
Price / Gas Mileage
(miles per gallon) / Cost of immediate (and necessary) repairs
Toyota Corolla / $3200 / 18 / $700
Honda Accord / $4700 / 24 / $300
  • Tony estimates he will drive about 200 miles per month.
  • The average cost of gasoline in his area is $3.80 per gallon.
  • Tony plans on owning the car for 4 years.

Tony would like to buy the least expensive car, considering all of the related costs.

Which car should Tony buy? Explain your thinking. Use mathematics to support your comments.

14) Rectangle A has a length of 15 inches and a width of 4 inches. Rectangle B has a length of 10 inches and a width of 6 inches.

a. Determine the area of each rectangle. How do the areas compare? Why do you think this is the case?

b. Determine the perimeter of each rectangle. How do the perimeters compare? Why do you think this is the case?