Name:    Decimal Test_Sept. 21, 2009

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.

1.

One toothpick is 0.13 inch long, another is 0.33 inch. Which length is greater?
 a. 0.13 inch b. 0.33 inch

2.

Order the following decimals from least to greatest.
4.769, 4.904, 4.422
 a. 4.422, 4.769, 4.904 c. 4.769, 4.904, 4.422 b. 4.422, 4.904, 4.769 d. 4.904, 4.422, 4.769

3.

Three bricks have the following weights: 3.16 pounds, 2.89 pounds, and 2.81 pounds. Use clustering to determine their approximate total weight.
 a. 6 pounds c. 10 pounds b. 8.86 pounds d. 9 pounds

4.

Use compatible numbers to estimate.
9.73 ´ 4.74
 a. 46.12 c. 50 b. 47.4 d. 45.59

5.

Use front-end estimation to add the following numbers. a. 10 c. 11.15 b. 13 d. 11

6.

If one book is 2.28 inches wide and another is 1.678 inches wide, how much wider is the first?
 a. 1 inch c. 1.823 inches b. 6.02 inches d. 0.602 inch

7.

Perform the following calculation:
15.19 • 100
 a. 15,190 c. 151.9 b. 1,519 d. 0.1519

Complete the following using metric measurements.

8.

A trout weighs about ____.
 a. 1 kg c. 1 km b. 1 g d. 1 mL

9.

Convert 1.6 mm to meters.
 a. 0.000016 m c. 0.16 m b. 0.0016 m d. 0.0000016 m

10.

Convert 482 g to kilograms.
 a. 0.482 kg c. 48.2 kg b. 482 kg d. 0.00482 kg

11.

If 4 boxes weigh 0.74 pound each, how much do they all weigh together?
 a. 29.6 pounds c. 4.74 pounds b. 5.41 pounds d. 2.96 pounds

12.

Solve.
3.6 • 3.5
 a. 126 c. 1.26 b. 7.1 d. 12.6

13.

Evaluate the expression 5x for x = 4.85.
 a. 24.25 c. 2.425 b. 242.5 d. 20.85

14.

If 4 friends share a bag of potato chips that costs \$4.20, how much should each pay?
 a. \$0.20 c. \$10.50 b. \$0.11 d. \$1.05

15.

A rare comic book costs \$20.76. If 6 fans split the cost equally, how much will each pay?
 a. \$34.60 c. \$3.46 b. \$0.35 d. \$14.76

16.

Chain at the hardware store costs \$0.15 per foot. If you purchased \$1.86 of chain, what length of chain did you buy?
 a. 1.24 feet c. 124 feet b. 11 feet d. 12.4 feet

17.

You have a pitcher that holds 33.7 oz of lemonade. If each glass holds 9.3 oz, how many glasses can you completely fill?
 a. 3.62 glasses c. 5 glasses b. 4 glasses d. 3 glasses

18.

Your car uses 3.5 gallons of gas on your drive to and from work each day. If your gas tank holds 23.3 gallons of gas, how many times can you drive to and from work without running out of gas or refueling?
 a. 6.66 times c. 7.66 times b. 7 times d. 6 times

19.

Suppose a trip is 403.6 miles long and you want to spend 4 days driving. How many miles should you drive each day?
 a. 100 miles c. 101 miles b. 100.9 miles d. 100.41 miles

20.

The design on a 49.2-inch scarf is 12 equally sized stripes. How wide is each stripe?
 a. 4 inches c. 4.27 inches b. 4.1 inches d. 5 inches

21.

Solve.
x + 2.9 = 3.82
 a. x = 6.72 c. x = 0.99 b. x = 0.92 d. x = 0

22.

A stack of blocks is 13.6 inches tall. If there are 8 blocks stacked one on top of each other, how tall is each block?
 a. 1.5 inches c. 5.6 inches b. 1.7 inches d. 1.9 inches

23.

How many significant digits does the number 0.66 have?
 a. 3 c. 1 b. 4 d. 2

24.

Calculate. Write the answer with the appropriate number of significant figures.
18.36 + 0.309
 a. 18.669 c. 19.17 b. 18.67 d. 19.509

25.

Multiply. Write the answer with the appropriate number of significant figures.
3.9 • 5.02
 a. 20 c. 19.78 b. 20.068 d. 19.578

Matching

Match each of the following vocabulary words with its definition.
 a. clustering d. scientific notation b. front-end estimation e. compatible numbers c. rounding

26.

a method used to estimate a sum when all addends are close to the same value

27.

an estimating technique in which the front digits of the addends are added and then the sum is adjusted for a closer estimate

28.

a method of writing very large or very small numbers by using powers of ten

Short Answer

29.

On a trip through a rain forest, you travel 10.4 miles the first day, 19.8 miles the second day, and 14.9 miles the third day. Estimate how many total miles you travel. Show your work. 30.

A log weighing 4.56 pounds is split into two pieces. If one of the pieces weighs 2.79 pounds, what does the other one weigh? Show your work. 31.

A box of cereal weighs 450 grams.
 a. How many kilograms does it weigh? Show your work. b. How many milligrams does it weigh? Show your work.

32.

The Sun’s mass is about 330,000 times that of Earth. What is this number in scientific notation? Explain how you got your answer.

33.

A small box of donuts weighs 8.5 oz. A large box of donuts weighs 1.6 times as much. How much does a large box weigh? Show your work. 34.

At the store, 6 fire logs cost \$27.42. How much do they cost a piece? Show your work. 35.

Solve the following.
 a. A pickup truck’s gas tank can hold 19.2 gallons, and it can go 460.8 miles on a single tank of gas. How many miles per gallon does it get? Show your work. b. Driving in the mountains is more difficult, and the same truck can go only 345.6 miles on a single tank of gas. How many miles per gallon does it get in the mountains? Show your work. 36.

Solve the following.
 a. If a wall is 4.6 meters long, what is the maximum number of 0.5-meter wide chairs you can place along it? Show your work. b. How many chairs would fit if the chairs were only 0.4 meter wide? Show your work. 37.

Asian elephants are typically 2.1 feet shorter than African elephants. If an Asian elephant were 9.4 feet tall, how tall would an African elephant be? Show your work. 