MA318 – Homework



MA318 – Homework

Decimals, ratios and proportions and percents

Due ______________ Worth ________________

Do the following problems on your own paper. Show work where appropriate.

1. Arrange the following numbers from smallest to largest: [pic]

2. A dress is put on sale at 25% off the regular price. The sale price is $66.75. What was the regular price of the dress?

3. If a recipe calls for 2 ¾ cup of flour to make 3 dozen cookies, how much flour is required to make 7 dozen cookies?

4. Fill in the following table with an equivalent form of the representation given in each line:

Fraction Decimal Percent

2/3 a b

c d ¼%

e 2.75 f

2/5 g h

5. Find a fractional equivalent for each of the following. Be sure to have your answer in simplest form.

a. 3.761 b. 0.012 c. [pic] d. [pic] e. [pic]

6. Find the exact decimal equivalent for each of the following. Do not round.

a. 35/28 b. 5/12 c. 4/7

7. Use fractions to explain why our rules tell us that .7 + .4 has only one decimal place,

but .7 X .4 has two decimal places.

8. A refrigerator and stove were purchased and a 5.5% sales tax was added to the purchase price. If the stove was on sale for $319 and the total bill was $834.75, how much did the refrigerator cost, before taxes and to the nearest cent?

9. In a class of 36 students, 13 were absent on Friday. What percent of the class was absent, to one decimal place?

10. If [pic] inches on a map represent 35 miles, how many miles are represented by 3.7 inches?

11. What is the 71st digit of [pic]? Explain your answer.

12. Write the proper number name for 305.1672.

13. Give a definition of the completeness property.

14. A school has 240 students. The ratio of students to teachers is 16:1. How many more teachers must be hired to have a 12:1 ratio of students to teachers?

15. If the cost of a new care is $18,000 (plus 4% sales tax) and a down payment of 20% (including the tax) is required, how much money will a consumer need to drive out in a new car?

16. A girl walked into a store with her mother. She said to her mother: “If you will lend me as much money as I have in my purse, I will buy this $15 outfit.” Her mother agreed. Then they did it again with a $20 pair of shoes and again with a $30 jacket. The girl is finally out of money. How much did she have when she walked into the store?

17. Jeff is 6 feet tall and casts a 7 foot shadow. At the same time, a tree casts a shadow of 56 feet. How tall is the tree?

18. If your mechanic suggests 3 parts antifreeze to 4 parts water for your car radiator and your radiator holds 14 liters, how many liters of antifreeze should you use?

19. If a stereo was sold at an 18% discount and that discount amounted to $72, how much was the stereo before the discount?

20. Which of these would be the best buy? Explain why.

a. 9 oz. for $0.79

b. 20 oz. for $1.68

c. 18 oz. for $1.36

d. 25 oz. for $1.95

21. How can you tell by looking at the decimal representation, whether a number is rational or irrational?

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