Question 1

Convert the fraction to a decimal. $\frac { 1 } { 4 }$

Accepted Answer

$\frac { 1 } { 4 }$ equals 0.25 when converted to a decimal.

Question 2

A doctor prescribes a dose of 2 milligrams of a medication for a patient. The medication is in liquid form and each milliliter of liquid contains 0.25 milligram of medication. How many milliliters of the liquid should a nurse give the patient?

Accepted Answer

To administer a dose of 2 milligrams with a concentration of 0.25 milligram per milliliter, divide the dose (2 mg) by the concentration (0.25 mg/mL), resulting in 8 milliliters.

Question 3

A patient with a low hemoglobin count is anemic. A normal hemoglobin range for a woman after middle age is 11.7 to 13.8 grams of hemoglobin per 100 milliliters of blood. Sonja's hemoglobin numbers for the past 6 months are 10.9, 11.3, 12.4, 11.5, 13.1, and 11. Find her average hemoglobin level for the 6-month period. Round to the nearest tenth.

Accepted Answer

The average hemoglobin level is calculated by adding all the values and dividing by the number of values: (10.9 + 11.3 + 12.4 + 11.5 + 13.1 + 11) / 6 = 70.2 / 6 = 11.7 grams.

Question 4

Divide: $7.173 \div 10 ^ { 2 }$

Accepted Answer

Dividing by $10^2$ (or 100) moves the decimal point two places to the left, resulting in 0.07173.

Question 5

Earl is 57 years old and is buying $85,000 of life insurance for an annual premium of $650.21. If he pays each annual premium in 12 equal installments, how much is each monthly payment? Round your answer to the nearest cent.

Accepted Answer

To find the monthly payment, divide the annual premium by 12: $650.21 / 12 = $54.1841667. Rounded to the nearest cent, this is $54.18.

Question 6

Convert the fraction to a decimal. $9 \frac { 4 } { 5 }$

Accepted Answer

The fraction $9 \frac{4}{5}$ is a mixed number. Convert $ \frac{4}{5} $ to a decimal, which is 0.8, and add it to 9 to get 9.8.

Question 7

Divide: $11.28 \div 10 ^ { 1 }$

Accepted Answer

Dividing by $10^1$ (which is 10) moves the decimal point one place to the left, making the correct answer 1.128.

Question 8

Divide: $36,729 \div 1000$

Accepted Answer

Dividing by 1000 moves the decimal point three places to the left, making 36,729 become 36.729.

Question 9

Convert the fraction to a decimal. Round to the nearest thousandth. $\frac { 1 } { 6 }$

Accepted Answer

Dividing 1 by 6 gives 0.1666..., which rounds to 0.167 to the nearest thousandth.

Question 10

Convert the decimal to a fraction. 0.6

Accepted Answer

0.6 can be expressed as $\frac { 6 } { 10 }$, which simplifies to $\frac { 3 } { 5 }$ when both numerator and denominator are divided by their greatest common divisor, 2.

Question 11

Convert the decimal to a fraction. 6.32

Accepted Answer

6.32 can be expressed as $6 \frac{32}{100}$. Simplifying $\frac{32}{100}$ gives $\frac{8}{25}$, so the fraction is $6 \frac{8}{25}$.

Question 12

A certain pain medication is in tablet form and contains 0.20 gram of medication per tablet. If the doctor has ordered a patient to have 0.80 gram of pain medication, how many tablets should a nurse give the patient?

Accepted Answer

To find the number of tablets required, we divide the total amount of medication needed by the amount of medication per tablet.

Number of tablets = Total amount of medication needed ÷ Amount of medication per tablet

Number of tablets = 0.80 g ÷ 0.20 g per tablet
Number of tablets = 4 tablets

Therefore, the nurse should give the patient 4 tablets. The correct answer is C.

Question 13

Ramon, a high school football player, gained 158 yards on 20 carries in a high school football game. Find the average number of yards gained per carry. Round to the nearest hundredth.

Accepted Answer

To find the average number of yards gained per carry, divide the total number of yards gained by the number of carries. 158 yards / 20 carries = 7.9 yards per carry. Rounded to the nearest hundredth, the answer is 7.90 yards.

Question 14

Anne is building bookcases that are 2.7 feet long. How many complete shelves can be cut from a 6-foot board?

Accepted Answer

To find out how many complete shelves can be cut from a 6-foot board, divide the length of the board by the length of one shelf: 6 feet / 2.7 feet = 2.22. Since only whole shelves can be cut, the answer is 2 complete shelves.

Question 15

A case of diet cola costs $6.95. If there are 24 cans in a case, find the cost per can. Round to the nearest cent.

Accepted Answer

The answer of A case of diet cola costs $6.95....

Question 16

A physician advises an overweight patient to lose $\frac { 1 } { 5 }$ of her current weight, or 45.4 pounds, over the next 10 months. How many pounds should the patient try to lose each month in order to reach this goal? Round your answer to the two decimal place.

Accepted Answer

To reach the goal of losing 45.4 pounds over 10 months, the patient should aim to lose $ \frac { 45.4 } { 10 } = 4.54 $ pounds each month.

Question 17

For the following, (i) use a calculator to divide and round your answer to the nearest ten-thousandth; and (ii) round each of the given numbers to the nearest whole number and divide: $22.43 \div 1.8$

Accepted Answer

(i) Dividing 22.43 by 1.8 gives 12.4611 when rounded to the nearest ten-thousandth. (ii) Rounding 22.43 to the nearest whole number gives 22, and rounding 1.8 to the nearest whole number gives 2. Dividing 22 by 2 gives 11.

Question 18

Convert the decimal to a fraction. 0.38

Accepted Answer

The answer of Convert the decimal to a fraction. 0.38
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Question 19

A doctor orders 0.5 gram of a medication for a patient. The pharmacy has scored tablets on hand and each one contains 0.2 gram of medication. How many tablets will be required for one dose of medication?

Accepted Answer

To administer a 0.5 gram dose using 0.2 gram tablets, you divide the total dose required (0.5 grams) by the amount per tablet (0.2 grams), which equals 2.5 tablets.

Question 20

Convert the decimal to a fraction. 0.377

Accepted Answer

0.377 can be expressed as $\frac{377}{1000}$ because you move the decimal point three places to the right to convert it into a fraction, making the denominator 1000.

Quiz 3: Decimals

Convert the fraction to a decimal. 14\frac { 1 } { 4 }41​