Question 1

Write as a decimal number rounded as indicated.
-$0 . \overline{58}$; Round to the nearest hundredth.

Accepted Answer

The repeating decimal $0.\overline{58}$ means 58 repeats indefinitely after the decimal point. When rounding to the nearest hundredth, the number becomes 0.59 because the third digit (8) is 5 or more, which increases the second digit by 1.

Question 2

Write as a decimal number rounded as indicated.
-$0.3 \overline{7}$; Round to the nearest thousandth.

Accepted Answer

The repeating decimal $0.3 \overline{7}$ is equivalent to 0.377777..., which rounds to 0.378 when rounded to the nearest thousandth.

Question 3

Write as a decimal number rounded as indicated.
-$0.4 \overline{7}$; Round to the nearest hundredth.

Accepted Answer

The repeating decimal $0.4\overline{7}$ is approximately 0.477... When rounded to the nearest hundredth, it becomes 0.48.

Question 4

Write as a decimal number rounded as indicated.
-$0 . \overline{94}$; Round to the nearest thousandth.

Accepted Answer

The repeating decimal $0.\overline{94}$ is approximately 0.949494..., which rounds to 0.949 when rounded to the nearest thousandth.

Question 5

Write as a decimal number rounded as indicated.
-$0 . \overline{92}$; Round to the nearest hundredth.

Accepted Answer

The repeating decimal $0.\overline{92}$ means 92 repeats indefinitely. When rounded to the nearest hundredth, it becomes 0.93.

Question 6

Write as a decimal number rounded as indicated.
-$0 . \overline{69}$; Round to the nearest thousandth.

Accepted Answer

The repeating decimal $0.\overline{69}$ is approximately 0.696969..., and when rounded to the nearest thousandth, it becomes 0.697.

Question 7

Write as a decimal number rounded as indicated.
-$0 . \overline{38}$; Round to the nearest tenth.

Accepted Answer

The repeating decimal $0.\overline{38}$ is approximately 0.38. When rounding to the nearest tenth, 0.38 rounds up to 0.4.

Question 8

Write as a decimal number rounded as indicated.
-$0 . \overline{35}$; Round to the nearest thousandth.

Accepted Answer

The answer of Write as a decimal number rounded as...

Question 9

Write as a decimal number rounded as indicated.
-$2.7 \overline{1}$; Round to the nearest hundredth.

Accepted Answer

The repeating decimal $2.7\overline{1}$ means that the digit 1 repeats indefinitely after the decimal point. When rounding to the nearest hundredth, the repeating 1s after the decimal point make the number 2.71, which is already at the hundredth place, so no further rounding is needed.

Question 10

Find the requested ratio in decimal notation rounded to the nearest thousandth.
-At the opening night of a theater production, there are 274 women and 266 men in the audience. For this set of people, what is the ratio of women to the total number of people?

Accepted Answer

The total number of people is 274 women + 266 men = 540 people. The ratio of women to the total number of people is 274/540, which equals approximately 0.507 when rounded to the nearest thousandth.

Question 11

Find the requested ratio in decimal notation rounded to the nearest thousandth.
-At the opening night of a theater production, there are 399 women and 198 men in the audience. For this set of people, what is the ratio of men to the total number of people?

Accepted Answer

The total number of people is 399 women + 198 men = 597 people. The ratio of men to the total number of people is 198/597 = 0.3317, which rounded to the nearest thousandth is 0.332.

Question 12

Find the requested ratio in decimal notation rounded to the nearest thousandth.
-At the opening night of a theater production, there are 443 women and 119 men in the audience. For this set of people, what is the ratio of women to men?

Accepted Answer

The ratio of women to men is calculated by dividing the number of women by the number of men: 443 / 119 = 3.7226890756302521008403361344538, which rounds to 3.723.

Question 13

Find the gasoline mileage rounded to the nearest tenth.
-221 miles; 19 gallons

Accepted Answer

The answer of Find the gasoline mileage rounded to the...

Question 14

Find the gasoline mileage rounded to the nearest tenth.
-249.5 miles; 15.1 gallons

Accepted Answer

To find the gasoline mileage, divide the miles driven by the gallons used: $249.5 \div 15.1 = 16.523$. Rounded to the nearest tenth, it is $16.5 \mathrm{mpg}$.

Question 15

Find the requested average, and round your answer as indicated.
-Listed in the table below are the total scores for the students in Dr. Crandall's geometry class. Find the average of these scores and round to the nearest hundredth.

Accepted Answer

The answer of Find the requested average, and round your...

Question 16

Find the requested average, and round your answer as indicated.
-The table below shows the square footage of homes of a group of families. Find the average square footage and round to the nearest tenth.

Accepted Answer

The answer of Find the requested average, and round your...

Question 17

Convert the stock price to decimal notation and to decimal notation rounded to the nearest hundredth.
-The stock of a software company sold for $\$ 37 \frac{7}{8}$ per share on Monday at closing.

Accepted Answer

The fraction $\frac{7}{8}$ converted to decimal is 0.875, so the stock price in decimal notation is \$37.875. When rounded to the nearest hundredth, it becomes \$37.88.

Question 18

Convert the stock price to decimal notation and to decimal notation rounded to the nearest hundredth.
-The stock price of a bank rose to $\$ 42 \frac{7}{8}$ per share after a merger with another bank.

Accepted Answer

The fraction $\frac{7}{8}$ converted to decimal is 0.875, so the stock price in decimal notation is \$42.875. Rounded to the nearest hundredth, \$42.875 becomes \$42.88.

Question 19

Convert the stock price to decimal notation and to decimal notation rounded to the nearest hundredth.
-The stock price of a homeowners' insurance company dropped to $\$ 41 \frac{11}{16}$ per share after a severe hurricane caused damage to coastal regions.

Accepted Answer

To convert the fraction $\frac{11}{16}$ to decimal, divide 11 by 16, which equals 0.6875. Therefore, the stock price in decimal notation is \$41.6875. When rounded to the nearest hundredth, \$41.6875 rounds up to \$41.69.

Question 20

Convert the stock price to decimal notation and to decimal notation rounded to the nearest hundredth.
-The stock price of a company specializing in renewable forms of energy rose last year to $\$ 66 \frac{7}{16}$ per share.

Accepted Answer

To convert the fractional part of the stock price to decimal notation, divide 7 by 16, which equals 0.4375. Therefore, the stock price in decimal notation is $66.4375. When rounded to the nearest hundredth, $66.4375 rounds up to $66.44.

Quiz 3: Decimal Notation

Write as a decimal number rounded as indicated. - $0 . \overline{58}$ ; Round to the nearest hundredth.

Write as a decimal number rounded as indicated. - $0.3 \overline{7}$ ; Round to the nearest thousandth.

Write as a decimal number rounded as indicated. - $0.4 \overline{7}$ ; Round to the nearest hundredth.

Write as a decimal number rounded as indicated. - $0 . \overline{94}$ ; Round to the nearest thousandth.

Write as a decimal number rounded as indicated. - $0 . \overline{92}$ ; Round to the nearest hundredth.

Write as a decimal number rounded as indicated. - $0 . \overline{69}$ ; Round to the nearest thousandth.

Write as a decimal number rounded as indicated. - $0 . \overline{38}$ ; Round to the nearest tenth.

Write as a decimal number rounded as indicated. - $0 . \overline{35}$ ; Round to the nearest thousandth.

Write as a decimal number rounded as indicated. - $2.7 \overline{1}$ ; Round to the nearest hundredth.

Find the requested ratio in decimal notation rounded to the nearest thousandth. -At the opening night of a theater production, there are 274 women and 266 men in the audience. For this set of people, what is the ratio of women to the total number of people?

Find the requested ratio in decimal notation rounded to the nearest thousandth. -At the opening night of a theater production, there are 399 women and 198 men in the audience. For this set of people, what is the ratio of men to the total number of people?

Find the requested ratio in decimal notation rounded to the nearest thousandth. -At the opening night of a theater production, there are 443 women and 119 men in the audience. For this set of people, what is the ratio of women to men?

Find the gasoline mileage rounded to the nearest tenth. -221 miles; 19 gallons

Find the gasoline mileage rounded to the nearest tenth. -249.5 miles; 15.1 gallons

Find the requested average, and round your answer as indicated. -Listed in the table below are the total scores for the students in Dr. Crandall's geometry class. Find the average of these scores and round to the nearest hundredth.

Find the requested average, and round your answer as indicated. -The table below shows the square footage of homes of a group of families. Find the average square footage and round to the nearest tenth.

Convert the stock price to decimal notation and to decimal notation rounded to the nearest hundredth. -The stock of a software company sold for $\$ 37 \frac{7}{8}$ per share on Monday at closing.

Convert the stock price to decimal notation and to decimal notation rounded to the nearest hundredth. -The stock price of a bank rose to $\$ 42 \frac{7}{8}$ per share after a merger with another bank.

Convert the stock price to decimal notation and to decimal notation rounded to the nearest hundredth. -The stock price of a homeowners' insurance company dropped to $\$ 41 \frac{11}{16}$ per share after a severe hurricane caused damage to coastal regions.

Convert the stock price to decimal notation and to decimal notation rounded to the nearest hundredth. -The stock price of a company specializing in renewable forms of energy rose last year to $\$ 66 \frac{7}{16}$ per share.

Quiz 3: Decimal Notation

Write as a decimal number rounded as indicated. - 0.58‾0 . \overline{58}0.58 ; Round to the nearest hundredth.

Write as a decimal number rounded as indicated. - 0.37‾0.3 \overline{7}0.37 ; Round to the nearest thousandth.

Write as a decimal number rounded as indicated. - 0.47‾0.4 \overline{7}0.47 ; Round to the nearest hundredth.

Write as a decimal number rounded as indicated. - 0.94‾0 . \overline{94}0.94 ; Round to the nearest thousandth.

Write as a decimal number rounded as indicated. - 0.92‾0 . \overline{92}0.92 ; Round to the nearest hundredth.

Write as a decimal number rounded as indicated. - 0.69‾0 . \overline{69}0.69 ; Round to the nearest thousandth.

Write as a decimal number rounded as indicated. - 0.38‾0 . \overline{38}0.38 ; Round to the nearest tenth.

Write as a decimal number rounded as indicated. - 0.35‾0 . \overline{35}0.35 ; Round to the nearest thousandth.

Write as a decimal number rounded as indicated. - 2.71‾2.7 \overline{1}2.71 ; Round to the nearest hundredth.