Question 1

Use scientific notation to calculate the answer to the problem. Write the answer in scientific notation.
-
A) 5.12 × 
B) 51.2 × 
C) 51.2 × 
D) 5.12 ×

Accepted Answer

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Question 2

Use scientific notation to calculate the answer to the problem. Write the answer in scientific notation.
-
A) 12 × 
B) 1.2 × 
C) 1.2 × 
D) 12 ×

Accepted Answer

The answer of Use scientific notation to calculate the answer...

Question 3

Use scientific notation to calculate the answer to the problem. Write the answer in scientific notation.
-
A) 6 × 
B) 4.2 × 
C) 6 × 
D) 0.6 ×

Accepted Answer

The answer of Use scientific notation to calculate the answer...

Question 4

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -The population of a small country is 4,016,000. A) 4.016 × 10⁵ B) 4.016 × 10⁶ C) 4.016 × 10^-5 D) 4.016 × 10⁴

Accepted Answer

The population of 4,016,000 written in scientific notation is 4.016 × 10^6, which corresponds to choice B.

Question 5

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -A company produces 332,000 small appliances in one year. A) 33.2 × 10⁴ B) 3.32 × 10^-5 C) 3.32 × 10⁶ D) 3.32 × 10⁵

Accepted Answer

The number 332,000 can be written in scientific notation as 3.32 × 10^5.

Question 6

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -The earth is approximately 92,900,000 miles from the sun. A) 9.29 × 10⁷ B) 9.29 × 10⁸ C) 9.29 × 10^-7 D) 9.29 × 10⁶

Accepted Answer

The number 92,900,000 can be written in scientific notation as 9.29 × 10⁷.

Question 7

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -The speed of light is 1.86 × 10⁵ miles per hour. A) 0000186 B) 1,860,000 C) 186,000 D) 18,600,000

Accepted Answer

The scientific notation 1.86 × 10^5 is equivalent to 186,000 when written without exponents.

Question 8

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -A computer can do one calculation in 1.4 × 10^-7 seconds. A) 0.000000014 B) 14,000,000 C) 0.00000014 D) 0.000014

Accepted Answer

1.4 × 10^-7 written without exponents is 0.00000014, moving the decimal point 7 places to the left.

Question 9

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation.
-It has been estimated that the average American watches 58,240 hours of television in a lifetime.
A) 5.824 ×hr 
B) 58.24 ×hr 
C) 5.824 ×hr 
D) 5.824 ×hr

Accepted Answer

The answer of If the number in the statement is...

Question 10

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation.
-The life span of the average male human being is approximately 37,843,200 minutes.
A) 3.78432 ×  min
B) 37.8432 ×  min
C) 3.78432 ×  min
D) 3.78432 ×  min

Accepted Answer

The answer of If the number in the statement is...

Question 11

Solve the problem. Express the answer in scientific notation to two decimals. -The national debt of a small country is $ 6,710,000,000 and the population is 2,181,000. What is the amount of debt per person? A) $ 30.80 B) $ 3.08 × 10³ C) $ 3.08 D) $ 3.08 × 10⁶

Accepted Answer

To find the amount of debt per person, divide the total debt by the population: $6,710,000,000 / 2,181,000 = $3,077.63. In scientific notation with two decimals, this is $3.08 × 10^3.

Question 12

Solve the problem. Express the answer in scientific notation to two decimals. -A company produced 2,270,000 small appliances in one year and made a profit of $ 7,080,000. What was the profit on each appliance? A) $ 3.12 × 10³ B) $ 3.12 × 10⁶ C) $ 31.20 D) $ 3.12

Accepted Answer

The profit per appliance is calculated by dividing the total profit by the number of appliances: $7,080,000 / 2,270,000 = $3.12.

Question 13

Solve the problem. Express the answer in scientific notation to two decimals. -The earth is approximately 92,900,000 miles from the sun. If what is the distance to the sun in meters? A) 5.7 × 10^-10 m B) 1.50 × 10¹¹ m C) 1.50 × 10¹⁰ m D) 5.7 × 10¹⁰ m

Accepted Answer

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Question 14

Solve the problem. Express the answer in scientific notation to two decimals. -If the distance from the earth to the sun were 82,000,000 miles. How long would it take a rocket, traveling at 2 × 10³ miles per hour, to reach the sun? (Round to three places) A) 4.1 × 10³ hr B) 4.1 × 10² hr C) 4.1 × 10⁴ hr D) 4.1 hr

Accepted Answer

The answer of Solve the problem. Express the answer in...

Question 15

Solve the problem. Express the answer in scientific notation to two decimals. -If the speed of light is 3.00 × 10⁸ m/sec, how long does it take light to travel 2.29 × 10¹¹ m, the distance from the sun to Mars? A) 76 sec B) 7.6 × 10³ sec C) 7.6 × 10² min D) 7.6 × 10² sec

Accepted Answer

To find the time it takes for light to travel from the sun to Mars, divide the distance by the speed of light: $2.29 \times 10^{11} \, \text{m} \div 3.00 \times 10^{8} \, \text{m/sec} = 7.63 \times 10^{2} \, \text{sec}$, which is approximately $7.6 \times 10^{2} \, \text{sec}$.

Question 16

Solve the problem. Express the answer in scientific notation to two decimals. -A light-year is the distance that light travels in one year. Find the number of miles in a light-year if light travels 1.86 × 10⁵ miles/second. A) 6.0 × 10⁷ mi B) 6.0 × 10¹⁴ mi C) 6.0 × 10¹² mi D) 6.0 × 10⁵ mi

Accepted Answer

The answer of Solve the problem. Express the answer in...

Question 17

Solve the problem. Express the answer in scientific notation to two decimals. -A computer can do one calculation in 1.4 × 10^-7 seconds. How long would it take the computer to do a trillion (10¹²) calculations? A) 1.4 × 10^-7 sec B) 1.4 × 10¹² sec C) 1.4 × 10⁶ sec D) 1.4 × 10⁵ sec

Accepted Answer

The answer of Solve the problem. Express the answer in...

Question 18

Solve the problem. Express the answer in scientific notation to two decimals. -Assume that the volume of the earth is 5 × 10¹⁴ cubic meters and the volume of a bacterium is cubic meters. If the earth could be filled with bacteria, how many would it contain? A) 5.0 × 10³¹ bacteria B) 2.0 × 10^-30 bacteria C) 5.0 × 10^-31 bacteria D) 2.0 × 10³⁰ bacteria

Accepted Answer

The answer of Solve the problem. Express the answer in...

Question 19

Solve the problem. Express the answer in scientific notation to two decimals.
-The national debt of a country is $ 31,570,000,000 and the population is 4, 510,000. What is the debt per person? Write answer without exponents.
A) $ 700
B) $ 70,000
C) $ 142,380,700
D) $ 7000.

Accepted Answer

The debt per person is calculated by dividing the total debt by the population: $31,570,000,000 / 4,510,000 = $7,000.

Question 20

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response
-In scientific notation, what is the largest integer which can be multiplied by a power of 10?

Accepted Answer

The answer of Write the word or phrase that best...

Quiz 6: Factoring and Applications

Use scientific notation to calculate the answer to the problem. Write the answer in scientific notation. -

Use scientific notation to calculate the answer to the problem. Write the answer in scientific notation. -

Use scientific notation to calculate the answer to the problem. Write the answer in scientific notation. -

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -The population of a small country is 4,016,000.

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -A company produces 332,000 small appliances in one year.

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -The earth is approximately 92,900,000 miles from the sun.

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -The speed of light is 1.86 × 105 miles per hour.

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -A computer can do one calculation in 1.4 × 10-7 seconds.

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -It has been estimated that the average American watches 58,240 hours of television in a lifetime.

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -The life span of the average male human being is approximately 37,843,200 minutes.

Solve the problem. Express the answer in scientific notation to two decimals. -The national debt of a small country is $ 6,710,000,000 and the population is 2,181,000. What is the amount of debt per person?

Solve the problem. Express the answer in scientific notation to two decimals. -A company produced 2,270,000 small appliances in one year and made a profit of $ 7,080,000. What was the profit on each appliance?

Solve the problem. Express the answer in scientific notation to two decimals. -The earth is approximately 92,900,000 miles from the sun. If what is the distance to the sun in meters?

Solve the problem. Express the answer in scientific notation to two decimals. -If the distance from the earth to the sun were 82,000,000 miles. How long would it take a rocket, traveling at 2 × 103 miles per hour, to reach the sun? (Round to three places)

Solve the problem. Express the answer in scientific notation to two decimals. -If the speed of light is 3.00 × 108 m/sec, how long does it take light to travel 2.29 × 1011 m, the distance from the sun to Mars?

Solve the problem. Express the answer in scientific notation to two decimals. -A light-year is the distance that light travels in one year. Find the number of miles in a light-year if light travels 1.86 × 105 miles/second.

Solve the problem. Express the answer in scientific notation to two decimals. -A computer can do one calculation in 1.4 × 10-7 seconds. How long would it take the computer to do a trillion (1012) calculations?

Solve the problem. Express the answer in scientific notation to two decimals. -Assume that the volume of the earth is 5 × 1014 cubic meters and the volume of a bacterium is cubic meters. If the earth could be filled with bacteria, how many would it contain?

Solve the problem. Express the answer in scientific notation to two decimals. -The national debt of a country is $ 31,570,000,000 and the population is 4, 510,000. What is the debt per person? Write answer without exponents.

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response -In scientific notation, what is the largest integer which can be multiplied by a power of 10?

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -The speed of light is 1.86 × 10⁵ miles per hour.

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -A computer can do one calculation in 1.4 × 10^-7 seconds.

Solve the problem. Express the answer in scientific notation to two decimals. -If the distance from the earth to the sun were 82,000,000 miles. How long would it take a rocket, traveling at 2 × 10³ miles per hour, to reach the sun? (Round to three places)

Solve the problem. Express the answer in scientific notation to two decimals. -If the speed of light is 3.00 × 10⁸ m/sec, how long does it take light to travel 2.29 × 10¹¹ m, the distance from the sun to Mars?

Solve the problem. Express the answer in scientific notation to two decimals. -A light-year is the distance that light travels in one year. Find the number of miles in a light-year if light travels 1.86 × 10⁵ miles/second.

Solve the problem. Express the answer in scientific notation to two decimals. -A computer can do one calculation in 1.4 × 10^-7 seconds. How long would it take the computer to do a trillion (10¹²) calculations?

Solve the problem. Express the answer in scientific notation to two decimals. -Assume that the volume of the earth is 5 × 10¹⁴ cubic meters and the volume of a bacterium is cubic meters. If the earth could be filled with bacteria, how many would it contain?