In 3142, use properties of exponents to simplify each

In Exercises 1-12, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(2^{2} \cdot 2^{3}\) Text Transcription: 2^2 cdot 2^3

In Exercises 1-12, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(3^{3} \cdot 3^{2}\) Text Transcription: 3^3 times 3^2

In Exercises 1-12, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(4 \cdot 4^{2}\) Text Transcription: 4 times 4^2

In Exercises 1–12, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(5 \cdot 5^{2}\)

In Exercises 1-12, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(\left(2^{2}\right)^{3}\) Text Transcription: (2^2)^3

In Exercises 1-12, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(\left(3^{3}\right)^{2}\) Text Transcription: (3^3)^2

In Exercises 1–12, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(\left(1^{4}\right)^{5}\)

In Exercises 1-12, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(\left(1^{3}\right)^{7}\) Text Transcription: (1^3)^7

In Exercises 1-12, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(\frac{4^{7}}{4^{5}}\) Text Transcription: 4^7/4^5

In Exercises 1-12, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(\frac{6^{7}}{6^{5}}\) Text Transcription: 6^7/6^5

In Exercises 1–12, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(\frac{2^{8}}{2^{4}}\)

In Exercises 1–12, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(\frac{3^{8}}{3^{4}}\)

In Exercises 13-24, use the zero and negative exponent rules to simplify each expression. \(3^{0}\) Text Transcription: 3^0

In Exercises 13-24, use the zero and negative exponent rules to simplify each expression. \(9^{0}\) Text Transcription: 9^0

In Exercises 13-24, use the zero and negative exponent rules to simplify each expression. \((-3)^{0}\) Text Transcription: (-3)^0

In Exercises 13-24, use the zero and negative exponent rules to simplify each expression. \((-9)^{0}\) Text Transcription: (-9)^0

In Exercises 13-24, use the zero and negative exponent rules to simplify each expression. \(-3^{0}\) Text Transcription: -3^0

In Exercises 13-24, use the zero and negative exponent rules to simplify each expression. \(-9^{0}\) Text Transcription: -9^0

In Exercises 13-24, use the zero and negative exponent rules to simplify each expression. \(2^{-2}\) Text Transcription: 2^-2

In Exercises 13-24, use the zero and negative exponent rules to simplify each expression. \(3^{-2}\) Text Transcription: 3^-2

In Exercises 13–24, use the zero and negative exponent rules to simplify each expression. \(4^{-3}\)

In Exercises 13-24, use the zero and negative exponent rules to simplify each expression. \(2^{-3}\) Text Transcription: 2^-3

In Exercises 13-24, use the zero and negative exponent rules to simplify each expression. \(2^{-5}\) Text Transcription: 2^-5

In Exercises 13–24, use the zero and negative exponent rules to simplify each expression. \(2^{-6}\)

In Exercises 25-30, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(3^{4} \cdot 3^{-2}\) Text Transcription: 3^4 times 3^-2

In Exercises 25-30, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(2^{5} \cdot 2^{-2}\) Text Transcription: 2^5 times 2^-2

In Exercises 25-30, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(3^{-3} \cdot 3\) Text Transcription: 3^-3 times 3

In Exercises 25-30, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(2^{-3} \cdot 2\) Text Transcription: 2^-3 times 2

In Exercises 25-30, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(\frac{2^{3}}{2^{7}}\) Text Transcription: 2^3/2^7

In Exercises 25-30, use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(\frac{3^{4}}{3^{7}}\) Text Transcription: 3^4 times 3^7

In Exercises 31-42, use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. \(\left(x^{5} \cdot x^{3}\right)^{-2}\) Text Transcription: (x^5 times x^3)^-2

In Exercises 31–42, use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. \(\left(x^{2} \cdot x^{4}\right)^{-3}\)

In Exercises 31-42, use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. \(\frac{\left(x^{3}\right)^{4}}{\left(x^{2}\right)^{7}}\) Text Transcription: (x^3)^4/(x^2)^7

In Exercises 31-42, use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. \(\frac{\left(x^{2}\right)^{5}}{\left(x^{3}\right)^{4}}\) Text Transcription: (x^2)^5/(x^3)^4

In Exercises 31–42, use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. \(\left(\frac{x^{5}}{x^{2}}\right)^{-4}\)

In Exercises 31-42, use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. \(\left(\frac{x^{7}}{x^{2}}\right)^{-3}\) Text Transcription: (x^7/x^2)^-3

In Exercises 31-42, use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. \(\frac{2 x^{5} \cdot 3 x}{15 x^{6}}\) Text Transcription: 2x^5 times 3x/15x^6

In Exercises 31-42, use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. \(\frac{4 x^{7} \cdot 5 x}{10 x^{8}}\) Text Transcription: 4x^7 times 5x/10x^8

In Exercises 31-42, use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. \(\left(-2 x^{3} y^{-4}\right)\left(3 x^{-1} y\right)\) Text Transcription: (-2x^3 y^-4)(3x^-1 y)

In Exercises 31-42, use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. \(\left(-5 x^{4} y^{-3}\right)\left(4 x^{-1} y\right)\) Text Transcription: (-5x^4 y^-3)(4x^-1 y)

In Exercises 31-42, use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. \(\frac{30 x^{2} y^{5}}{-6 x^{8} y^{-3}}\) Text Transcription: 30x^2 y^5/-6x^8 y^-3

In Exercises 31-42, use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. \(\frac{24 x^{2} y^{13}}{-8 x^{5} y^{-2}}\) Text Transcription: 24x^2 y^13/-8x^5 y-^2

In Exercises 43-58, express each number in decimal notation. \(2.7 \times 10^{2}\) Text Transcription: 2.7 times 10^2

In Exercises 43-58, express each number in decimal notation. \(4.7 \times 10^{3}\) Text Transcription: 4.7 times 10^3

In Exercises 43-58, express each number in decimal notation. \(9.12 \times 10^{5}\) Text Transcription: 9.12 times 10^5

In Exercises 43–58, express each number in decimal notation. \(8.14 \times 10^{4}\)

In Exercises 43-58, express each number in decimal notation. \(8 \times 10^{7}\) Text Transcription: 8 times 10^7

In Exercises 43-58, express each number in decimal notation. \(7 \times 10^{6}\) Text Transcription: 7 times 10^6

In Exercises 43-58, express each number in decimal notation. \(1 \times 10^{5}\) Text Transcription: 1 times 10^5

In Exercises 43-58, express each number in decimal notation. \(1 \times 10^{8}\) Text Transcription: 1 times 10^8

In Exercises 43-58, express each number in decimal notation. \(7.9 \times 10^{-1}\) Text Transcription: 7.9 times 10^-1

In Exercises 43-58, express each number in decimal notation. \(8.6 \times 10^{-1}\) Text Transcription: 8.6 times 10^-1

In Exercises 43-58, express each number in decimal notation. \(2.15 \times 10^{-2}\) Text Transcription: 2.15 times 10^-2

In Exercises 43-58, express each number in decimal notation. \(3.14 \times 10^{-2}\) Text Transcription: 3.14 times 10^-2

In Exercises 43-58, express each number in decimal notation. \(7.86 \times 10^{-4}\) Text Transcription: 7.86 times 10^-4

In Exercises 43-58, express each number in decimal notation. \(4.63 \times 10^{-5}\) Text Transcription: 4.63 times 10^-5

In Exercises 43-58, express each number in decimal notation. \(3.18 \times 10^{-6}\) Text Transcription: 3.18 times 10^-6

In Exercises 43-58, express each number in decimal notation. \(5.84 \times 10^{-7}\) Text Transcription: 5.84 times 10^-7

In Exercises 59-78, express each number in scientific notation. 370

Express each number in scientific notation. 530

In Exercises 59-78, express each number in scientific notation. 3600

In Exercises 59-78, express each number in scientific notation. 2700

In Exercises 59-78, express each number in scientific notation. 32,000

In Exercises 59-78, express each number in scientific notation. 64,000

In Exercises 59-78, express each number in scientific notation. 220,000,000

In Exercises 59–78, express each number in scientific notation. 370,000,000,000

In Exercises 59-78, express each number in scientific notation. 0.027

Express each number in scientific notation. 0.014

Express each number in scientific notation. 0.0037

In Exercises 59-78, express each number in scientific notation. 0.00083

In Exercises 59-78, express each number in scientific notation. 0.00000293

In Exercises 59-78, express each number in scientific notation. 0.000000647

Express each number in scientific notation. \(820 \times 10^5\)

In Exercises 59-78, express each number in scientific notation. \(630 \times 10^{8}\) Text Transcription: 630 times 10^8

In Exercises 59–78, express each number in scientific notation. \(0.41 \times 10^{6}\)

In Exercises 59-78, express each number in scientific notation. \(0.57 \times 10^{9}\) Text Transcription: 0.57 times 10^9

In Exercises 59-78, express each number in scientific notation. \(2100 \times 10^{-9}\) Text Transcription: 2100 times 10^-9

In Exercises 59-78, express each number in scientific notation. \(97,000 \times 10^{-11}\) Text Transcription: 97,000 times 10^-11

In Exercises 79–92, perform the indicated operation and express each answer in decimal notation. \(\left(2 \times 10^{3}\right)\left(3 \times 10^{2}\right)\)

In Exercises 79-92, perform the indicated operation and express each answer in decimal notation. \(\left(5 \times 10^{2}\right)\left(4 \times 10^{4}\right)\) Text Transcription: (5 times 10^2)(4 times 10^4)

In Exercises 79-92, perform the indicated operation and express each answer in decimal notation. \(\left(2 \times 10^{9}\right)\left(3 \times 10^{-5}\right)\) Text Transcription: (2 times 10^9)(3 times 10^-5)

In Exercises 79-92, perform the indicated operation and express each answer in decimal notation. \(\left(4 \times 10^{8}\right)\left(2 \times 10^{-4}\right)\) Text Transcription: (4 times 10^8)(2 times 10^-4)

In Exercises 79-92, perform the indicated operation and express each answer in decimal notation. \(\left(4.1 \times 10^{2}\right)\left(3 \times 10^{-4}\right)\) Text Transcription: (4.1 times 10^2)(3 times 10^-4)

In Exercises 79-92, perform the indicated operation and express each answer in decimal notation. \(\left(1.2 \times 10^{3}\right)\left(2 \times 10^{-5}\right)\) Text Transcription: (1.2 times 10^3)(2 times 10^-5)

In Exercises 79-92, perform the indicated operation and express each answer in decimal notation. \(\frac{12 \times 10^{6}}{4 \times 10^{2}}\) Text Transcription: 12 times 10^6/4 times 10^2

In Exercises 79-92, perform the indicated operation and express each answer in decimal notation. \(\frac{20 \times 10^{20}}{10 \times 10^{15}}\) Text Transcription: 20 times 10^20/10 times 10^15

Perform the indicated operation and express each answer in decimal notation. \(\frac{15 \times 10^4}{5 \times 10^{-2}}\)

In Exercises 79-92, perform the indicated operation and express each answer in decimal notation. \(\frac{18 \times 10^{2}}{9 \times 10^{-3}}\) Text Transcription: 18 times 10^2/9 times 10^-3

In Exercises 79-92, perform the indicated operation and express each answer in decimal notation. \(\frac{6 \times 10^{3}}{2 \times 10^{5}}\) Text Transcription: 6 times 10^3/2 times 10^5

In Exercises 79–92, perform the indicated operation and express each answer in decimal notation. \(\frac{8 \times 10^{4}}{2 \times 10^{7}}\)

In Exercises 79-92, perform the indicated operation and express each answer in decimal notation. \(\frac{6.3 \times 10^{-6}}{3 \times 10^{-3}}\) Text Transcription: 6.3 times 10^-6/3 times 10^-3

In Exercises 79-92, perform the indicated operation and express each answer in decimal notation. \(\frac{9.6 \times 10^{-7}}{3 \times 10^{-3}}\) Text Transcription: 9.6 times 10^-7/3 times 10^-3

Perform the indicated operation by first expressing each number in scientific notation. Write the answer in scientific notation. (82,000,000)(3,000,000,000)

In Exercises 93-102, perform the indicated operation by first expressing each number in scientific notation. Write the answer in scientific notation. (94,000,000) (6,000,000,000)

In Exercises 93–102, perform the indicated operation by first expressing each number in scientific notation. Write the answer in scientific notation. (0.0005)(6,000,000)

In Exercises 93-102, perform the indicated operation by first expressing each number in scientific notation. Write the answer in scientific notation. (0.000015)(0.004)

In Exercises 93-102, perform the indicated operation by first expressing each number in scientific notation. Write the answer in scientific notation. \(\frac{9,500,000}{500}\) Text Transcription: 9,500,000/500

In Exercises 93–102, perform the indicated operation by first expressing each number in scientific notation. Write the answer in scientific notation. \(\frac{30,000}{0.0005}\)

In Exercises 93-102, perform the indicated operation by first expressing each number in scientific notation. Write the answer in scientific notation. \(\frac{0.00008}{200}\) Text Transcription: 0.00008/200

In Exercises 93-102, perform the indicated operation by first expressing each number in scientific notation. Write the answer in scientific notation. \(\frac{0.0018}{0.0000006}\) Text Transcription: 0.0018/0.0000006

In Exercises 93-102, perform the indicated operation by first expressing each number in scientific notation. Write the answer in scientific notation. \(\frac{480,000,000,000}{0.00012}\) Text Transcription: 480,000,000,000/0.00012

In Exercises 93-102, perform the indicated operation by first expressing each number in scientific notation. Write the answer in scientific notation. \(\frac{0.000000096}{16,000}\) Text Transcription: 0.000000096/16,000

In Exercises 103-106, perform the indicated operations. Express each answer as a fraction reduced to its lowest terms \(\frac{2^{4}}{2^{5}}+\frac{3^{3}}{3^{5}}\) Text Transcription: 2^4/2^5 + 3^3/3^5

In Exercises 103-106, perform the indicated operations. Express each answer as a fraction reduced to its lowest terms \(\frac{3^{5}}{3^{6}}+\frac{2^{3}}{2^{6}}\) Text Transcription: 3^5/3^6 + 2^3/2^6

In Exercises 103-106, perform the indicated operations. Express each answer as a fraction reduced to its lowest terms \(\frac{2^{6}}{2^{4}}-\frac{5^{4}}{5^{6}}\) Text Transcription: 2^6/2^4 - 5^4/5^6

In Exercises 103–106, perform the indicated operations. Express each answer as a fraction reduced to its lowest terms. \(\frac{5^{6}}{5^{4}}-\frac{2^{4}}{2^{6}}\)

In Exercises 107-110, perform the indicated computations Express answers in scientific notation. \(\left(5 \times 10^{3}\right)\left(1.2 \times 10^{-4}\right) \div\left(2.4 \times 10^{2}\right)\) Text Transcription: (5 times 10^3)(1.2 times 10^-4) div (2.4 times 10^2)

In Exercises 107-110, perform the indicated computations Express answers in scientific notation. \(\left(2 \times 10^{2}\right)\left(2.6 \times 10^{-3}\right) \div\left(4 \times 10^{3}\right)\) Text Transcription: (2 times 10^2)(2.6 times 10^-3) div (4 times 10^3)

In Exercises 107-110, perform the indicated computations Express answers in scientific notation. \(\frac{\left(1.6 \times 10^{4}\right)\left(7.2 \times 10^{-3}\right)}{\left(3.6 \times 10^{8}\right)\left(4 \times 10^{-3}\right)}\) Text Transcription: (1.6 times 10^4)(7.2 times 10^-3)/(3.6 times 10^8)(4 times 10^-3)

In Exercises 107-110, perform the indicated computations Express answers in scientific notation. \(\frac{\left(1.2 \times 10^{6}\right)\left(8.7 \times 10^{-2}\right)}{\left(2.9 \times 10^{6}\right)\left(3 \times 10^{-3}\right)}\) Text Transcription: (1.2 times 10^6)(8.7 times 10^-2)/(2.9 times 10^6)(3 times 10^-3)

The bar graph shows the total amount Americans paid in federal taxes, in trillions of dollars, and the U.S. population, in millions, from 2007 through 2010. Exercises 111-112 are based on the numbers displayed by the graph. a. In 2010, the United States government collected $2.17 trillion in taxes. Express this number in scientific notation. b. In 2010, the population of the United States was approximately 309 million. Express this number in scientific notation. c. Use your scientific notation answers from parts (a) and (b) to answer this question: If the total 2010 tax collections were evenly divided among all Americans, how much would each citizen pay? Express the answer in scientific and decimal notations.

The bar graph shows the total amount Americans paid in federal taxes, in trillions of dollars, and the U.S. population, in millions, from 2007 through 2010. Exercises 111-112 are based on the numbers displayed by the graph. a. In 2009, the United States government collected $2.20 trillion in taxes. Express this number in scientific notation. b. In 2009, the population of the United States was approximately 308 million. Express this number in scientific notation. c. Use your scientific notation answers from parts (a) and (b) to answer this question: If the total 2009 tax collections were evenly divided among all Americans, how much would each citizen pay? Express the answer in scientific and decimal notations.

The bar graph quantifies our love for movies by showing the number of tickets sold, in millions, and the average price per ticket for five selected years. Exercises 113-114 are based on the numbers displayed by the graph. Do not round the answers. Use scientific notation to compute the amount of money that the motion picture industry made from box-office receipts in 2010. Express the answer in scientific notation.

The bar graph quantifies our love for movies by showing the number of tickets sold, in millions, and the average price per ticket for five selected years. Exercises 113-114 are based on the numbers displayed by the graph. Do not round the answers. Use scientific notation to compute the amount of money that the motion picture industry made from box-office receipts in 2005. Express the answer in scientific notation.

The mass of one oxygen molecule is \(5.3 \times 10^{-23}\) gram. Find the mass of 20,000 molecules of oxygen. Express the answer in scientific notation. Text Transcription: 5.3 times 10^-23

The mass of one hydrogen atom is \(1.67 \times 10^{-24}\) gram. Find the mass of 80,000 hydrogen atoms. Express the answer in scientific notation. Text Transcription: 1.67 times 10^-24

There are approximately \(3.2 \times 10^{7}\) seconds in a year. According to the United States Department of Agriculture, Americans consume 127 chickens per second. How many chickens are eaten per year in the United States? Express the answer in scientific notation. Text Transcription: 3.2 times 10^7

Convert 365 days (one year) to hours, to minutes, and, finally, to seconds, to determine how many seconds there are in a year. Express the answer in scientific notation.

Explain the product rule for exponents. Use \(2^{3} \cdot 2^{5}\) in your explanation. Text Transcription: 2^3 times 2^5

Explain the power rule for exponents. Use \(\left(3^{2}\right)^{4}\) in your explanation. Text Transcription: (3^2)^4

Explain the quotient rule for exponents. Use \(\frac{5^{8}}{5^{2}}\) in your explanation. Text Transcription: 5^8/5^2

Explain the zero exponent rule and give an example.

Explain the negative exponent rule and give an example.

How do you know if a number is written in scientific notation?

Explain how to convert from scientific to decimal notation and give an example.

Explain how to convert from decimal to scientific notation and give an example.

Suppose you are looking at a number in scientific notation. Describe the size of the number you are looking at if the exponent on ten is a. positive, b. negative, c. zero.

Describe one advantage of expressing a number in scientific notation over decimal notation.

Make Sense? In Exercises 129-132, determine whether each statement makes sense or does not make sense, and explain your reasoning If \(5^{-2}\) is raised to the third power, the result is a number between 0 and 1. Text Transcription: 5^-2

In Exercises 129–132, determine whether each statement makes sense or does not make sense, and explain your reasoning. The expression \(\frac{a^{n}}{b^{0}}\) is undefined because division by 0 is undefined.

In Exercises 129–132, determine whether each statement makes sense or does not make sense, and explain your reasoning. For a recent year, total tax collections in the United States were \(\$ 2.02 \times 10^{7}\) .

Make Sense? In Exercises 129-132, determine whether each statement makes sense or does not make sense, and explain your reasoning I Just finished reading a book that contained approximately \(1.04 \times 10^{5}\) words. Text Transcription: 1.04 times 10^5

In Exercises 133–140, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(4^{-2}<4^{-3}\)

In Exercises 133-140, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(5^{-2}>2^{-5}\) Text Transcription: 5^-2 > 2^-5

In Exercises 133-140, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \((-2)^{4}=2^{-4}\) Text Transcription: (-2)^4=2^-4

In Exercises 133-140, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(5^{2} \cdot 5^{-2}>2^{5} \cdot 2^{-5}\) Text Transcription: 5^2 times 5^-2 > 2^5 times 2^-5

In Exercises 133-140, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(534.7=5.347 \times 10^{3}\) Text Transcription: 534.7=5.347 times 10^3

In Exercises 133–140, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(\frac{8 \times 10^{30}}{4 \times 10^{-5}}=2 \times 10^{25}\)

In Exercises 133-140, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(\left(7 \times 10^{5}\right)+\left(2 \times 10^{-3}\right)=9 \times 10^{2}\) Text Transcription: (7 times 10^5) + (2 times 10^-3) = 9 times 10^2

In Exercises 133-140, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(\left(4 \times 10^{3}\right)+\left(3 \times 10^{2}\right)=43 \times 10^{2}\) Text Transcription: (4 times 10^3) + (3 times 10^2) = 43 times 10^2

Give an example of a number for which there is no advantage to using scientific notation instead of decimal notation. Explain why this is the case.

The mad Dr. Frankenstein has gathered enough bits and pieces (so to speak) for \(2^{-1}+2^{-2}\) of his creature-to-be. Write a fraction that represents the amount of his creature that must still be obtained. Text Transcription: 2^-1 + 2^-2

Use a calculator in a fraction mode to check your answers in Exercises 19-24.

Use a calculator to check any three of your answers in Exercises 43-58.

Use a calculator to check any three of your answers in Exercises 59-78.

Use a calculator with an EE or EXP key to check any four of your computations in Exercises 79-102. Display the result of the computation in scientific notation and in decimal notation.

Putting Numbers into Perspective. A large number can be put into perspective by comparing it with another number. For example, we put the $15.2 trillion national debt (Example 9) and the $2.17 trillion the government collected in taxes (Exercise 111) into perspective by comparing these numbers to the number of U.S. citizens. For this project, each group member should consult an almanac, a newspaper, or the Internet to find a number greater than one million. Explain to other members of the group the context in which the large number is used. Express the number in scientific notation. Then put the number into perspective by comparing it with another number.

Refer to the Blitzer Bonus on page 319. Group members should use scientific notation to verify any three of the bulleted items on ways to spend $1 trillion.