SABER College Algebra Real Numbers Question

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 not​simplify.)
Do not​simplify.)
Do not​simplify.)
Do not​simplify.)
Do not​simplify.)
Do not​simplify.)
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 positive​exponents.)
Evaluate.
2
4
2 •2 =
(Simplify your answer. Type a whole​number.)
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 positive​exponents.)
Evaluate.
5
2 2
=
​(Type a whole​number.)
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 positive​exponents.)
Evaluate.
4
8
4
6
=
​(Type a whole​number.)
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 simplified​fraction.)
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 as​needed.)
9. Write the first six terms of the arithmetic sequence with the first​term, a1 = 4, and common​difference, 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 first​term, a1 ​, and common​ratio, r.
a1 = 11​, r = − 2
a2 =
a3 =
a4 =
a5 =
a6 =