1. List all numbers from the given set that area. natural numbers
b. whole numbers
d. rational numbers
c. integers
e. irrational numbers
1
, − 1, 0.9, 0, − π, 3.7,
2
64 , −
f. real numbers
2
a. natural numbers=
(Use a comma to separate answers as needed.
b. whole numbers=
(Use a comma to separate answers as needed.
c. integers=
(Use a comma to separate answers as needed.
d. rational numbers=
(Use a comma to separate answers as needed.
e. irrational numbers=
(Use a comma to separate answers as needed.
f. real numbers=
(Use a comma to separate answers as needed.
Do notsimplify.)
Do notsimplify.)
Do notsimplify.)
Do notsimplify.)
Do notsimplify.)
Do notsimplify.)
2. Use properties of exponents to simplify the given expression. First express the answer in exponential form. Then evaluate
the expression.
2
2 •2
4
Simplify the exponents.
2
4
2 •2 =
(Type exponential notation with positiveexponents.)
Evaluate.
2
4
2 •2 =
(Simplify your answer. Type a wholenumber.)
3. 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.
5
2 2
=
(Type exponential notation with positiveexponents.)
Evaluate.
5
2 2
=
(Type a wholenumber.)
4. Use properties of exponents to simplify the given expression. First express the answer in exponential form. Then evaluate
the expression.
4
8
4
6
Simplify the exponents.
4
8
4
6
=
(Type exponential notation with positiveexponents.)
Evaluate.
4
8
4
6
=
(Type a wholenumber.)
5. Use the zero or negative exponent rule to simplify the expression.
9
0
0
9 =
6. Use the negative exponent rule to simplify the following expression.
3
3
−2
−2
=
(Type an integer or a simplifiedfraction.)
7. Express the following number in decimal notation.
2.5 × 10
3
3
2.5 × 10 =
8. Express the number 0.057 in scientific notation.
0.057 =
(Use the multiplication symbol in the math palette asneeded.)
9. Write the first six terms of the arithmetic sequence with the firstterm, a1 = 4, and commondifference, d = − 8.
The first six terms are a1 =
a5 =
, and a6 =
, a2 =
.
, a3 =
, a4 =
,
10. Write the first six terms of of the geometric sequence with the firstterm, a1 , and commonratio, r.
a1 = 11, r = − 2
a2 =
a3 =
a4 =
a5 =
a6 =
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