Question 1

Convert the decimal to a fraction. 86.3

Accepted Answer

The decimal 86.3 can be expressed as 86 and 3/10, where the 3 is in the tenths place, making the fraction $86 \frac { 3 } { 10 }$.

Question 2

Place the correct symbol, < or >, between the numbers: $0.77 \quad \frac { 7 } { 9 }$

Accepted Answer

To compare $0.77$ and $\frac{7}{9}$, convert $\frac{7}{9}$ to a decimal. $\frac{7}{9} = 0.\overline{7}$ or approximately $0.777...$, which is greater than $0.77$.

Question 3

Place the correct symbol, < or >, between the numbers: 0.28 0.6

Accepted Answer

0.28 is less than 0.6, therefore we place the < symbol between the two numbers.

Question 4

Place the correct symbol, < or >, between the numbers: 3.969 3.699

Accepted Answer

The number 3.969 is greater than 3.699, so we use the greater than symbol, >. Therefore, the correct statement is 3.969 > 3.699.

Question 5

Convert the decimal to a fraction. 4.561

Accepted Answer

The decimal 4.561 can be expressed as $4 + \frac{561}{1000}$ because there are three digits after the decimal point, making the denominator 1000.

Question 6

Convert the decimal to a fraction. $0.81$

Accepted Answer

The answer of Convert the decimal to a fraction. $0.81$
...

Question 7

Place the correct symbol, < or >, between the numbers: 0.9 0.88

Accepted Answer

0.9 is greater than 0.88 because when comparing decimal numbers, 0.9 is equivalent to 0.90, which is larger than 0.88.

Question 8

Nutritionists recommend that adults over 50 years old eat about 32 grams of fiber per day. If Mario is 65 years old and eats one medium orange with 3.4 grams of fiber, one oat bran muffin with 5.8 grams of fiber, and 1 cup of lima beans with 13.6 grams of fiber, how many additional grams of fiber should he consume today in order to meet the nutritionists' recommendation?

Accepted Answer

Mario has consumed a total of 3.4 + 5.8 + 13.6 = 22.8 grams of fiber. To meet the recommendation of 32 grams, he needs 32 - 22.8 = 9.2 grams more.

Question 9

Full-time paramedics are paid for a 40-hour workweek or 2090 hours per year. The average salary for a paramedic in a certain town is $49,460. Find the hourly wage for these paramedics.

Accepted Answer

To find the hourly wage, divide the annual salary by the total number of hours worked per year: $49,460 / 2090 hours = $23.67 per hour.

Question 10

Place the correct symbol, < or >, between the numbers: $\frac { 2 } { 9 } \quad 0.222$

Accepted Answer

$\frac{2}{9}$ is approximately 0.2222 repeating, which is slightly greater than 0.222.

Question 11

A physical therapist working with a patient following back surgery recommends that the patient walk five days each week, increasing the distance walked each week. The patient is told to walk the following distances: 0.25 mile per day during week 1, 0.8 mile per day during week 2, and 0.78 mile per day during week 3. How many miles has the patient walked at the end of the three-week period?

Accepted Answer

The answer of A physical therapist working with a patient...

Question 12

A doctor has ordered that a patient be given 2.75 milligrams of medication. The only tablets available are scored tablets with a strength of 50 milligram. How many tablets should this patient be given in order to receive the proper dosage?

Accepted Answer

To administer 2.75 milligrams using 50 milligram tablets, you would need $ \frac{2.75}{50} = 0.055 $ tablets. Since the question seems to have a mistake in its setup (as the provided options and the calculation do not align with a realistic scenario for medication dosage), the closest match to the correct mathematical operation (given the context likely involves a misunderstanding or typo) is option D, $5 \frac { 1 } { 2 }$ tablets, assuming the intended question involves a different calculation or context. However, based on the provided numbers, none of the options correctly match the calculation, indicating a possible error in the question setup.

Question 13

Refer to the Infant Mortality graph. How many times greater is the infant mortality rate in Mexico than the infant mortality rate in the Canada? Round your answer to the one decimal place.

Accepted Answer

The answer of Refer to the Infant Mortality graph. How...

Question 14

After an extended illness, a patient is advised to gain 10 pounds in order to reach a healthy weight. During the next month, the patient gains 2 $\frac { 1 } { 2 }$ pounds the first week, 3 $\frac { 3 } { 4 }$ pounds the second week, 1 pounds the third week, and 4 $\frac { 3 } { 4 }$ pounds the fourth week. How many more pounds does the patient need to gain in order to reach the goal of a 12-pound increase?

Accepted Answer

The patient gained a total of $2 \frac { 1 } { 2 } + 3 \frac { 3 } { 4 } + 1 + 4 \frac { 3 } { 4 } = 12$ pounds, which meets the goal exactly, so no more weight needs to be gained.

Question 15

Convert the decimal to a fraction. 7.2

Accepted Answer

7.2 can be expressed as $7 \frac{2}{10}$, which simplifies to $7 \frac{1}{5}$.

Question 16

Place the correct symbol, < or >, between the numbers: 0.16 0.159

Accepted Answer

0.16 is greater than 0.159 because when comparing decimal numbers digit by digit from left to right, both have "0" before the decimal point, and in the first position after the decimal, both have "1". However, in the second position, 0.16 has a "6" while 0.159 has a "5", making 0.16 larger.

Question 17

A home health nurse purchased over-the-counter medications at a pharmacy for her patient at a cost of $12.65. How much change is returned if the bill is paid with a $20 bill?

Accepted Answer

To find out the change, we need to subtract the total cost from the amount paid. 
Amount paid = $20 
Total cost = $12.65 
Change = Amount paid - Total cost 
Change = $20 - $12.65 
Change = $7.35 
Therefore, the correct answer is choice C, $7.35.

Quiz 3: Decimals