MAC1105 College Algebra Assignment

1.

2.

3.

List all numbers from the given set that are a. natural numbers b. whole numbers c. integers d. rational numbers e. irrational numbers f. real numbers

, − 1, 0.9, 0, − π, 3.7, , − 1 2

64 2

a. natural numbers = (Use a comma to separate answers as needed. Do not simplify.) b. whole numbers = (Use a comma to separate answers as needed. Do not simplify.) c. integers = (Use a comma to separate answers as needed. Do not simplify.) d. rational numbers = (Use a comma to separate answers as needed. Do not simplify.) e. irrational numbers = (Use a comma to separate answers as needed. Do not simplify.) f. real numbers = (Use a comma to separate answers as needed. Do not simplify.)

Use properties of exponents to simplify the given expression. First express the answer in exponential form. Then evaluate the expression.

2 • 22 4

Simplify the exponents.

(Type exponential notation with positive exponents.)2 • 22 4 =

Evaluate.

(Simplify your answer. Type a whole number.)2 • 22 4 =

Use properties of exponents to simplify the given expression. First express the answer in exponential form. Then evaluate the expression.

5 2 2

Simplify the exponents.

(Type exponential notation with positive exponents.)52 2

=

Evaluate.

(Type a whole number.)52 2

=

4.

5.

6.

7.

8.

9.

Use properties of exponents to simplify the given expression. First express the answer in exponential form. Then evaluate the expression.

48

46

Simplify the exponents.

(Type exponential notation with positive exponents.) 48

46 =

Evaluate.

(Type a whole number.) 48

46 =

Use the zero or negative exponent rule to simplify the expression.

90

90 =

Use the negative exponent rule to simplify the following expression.

3 − 2

(Type an integer or a simplified fraction.)3 − 2 =

Express the following number in decimal notation.

2.5 10× 3

2.5 10× 3 =

Express the number in scientific notation.0.057

0.057 = (Use the multiplication symbol in the math palette as needed.)

Write the first six terms of the arithmetic sequence with the first term, and common difference, a = 4,1 d = − 8.

The first six terms are , , , ,

, and .

a1 = a2 = a3 = a4 =

a5 = a6 =

10. Write the first six terms of of the geometric sequence with the first term, , and common ratio, r.a1

, r 2a1 = 11 = −

a2 =

a3 =

a4 =

a5 =

a6 =

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