# Exercise Set 1.1: Numbers

State whether each of the fol lowing numbers is prime,
composite, or neither. If composite, then list all the
factors of the number .

3. In (a)-(e), use long division to change the
following fractions to decimals .

Notice the pattern above and use it as a
shortcut in (f)-(m) to write the following
fractions as decimals without performing
long division.

4. Use the patterns from the problem above to
change each of the following decimals to either a
proper fraction or a mixed number.

State whether each of the following numbers is
rational
or irrational. If rational, then write the
number as a ratio of two integers . (If the number is
already written as a ratio of two integers, simply
rewrite the number.)

Circle all of the words that can be used to describe
each of the numbers below.

7. −9

 Even Odd Positive Negative Prime Composite Natural Whole Integer Rational Irrational Real Undefined

8.

 Even Odd Positive Negative Prime Composite Natural Whole Integer Rational Irrational Real Undefined

9.

 Even Odd Positive Negative Prime Composite Natural Whole Integer Rational Irrational Real Undefined

10. -4/7

 Even Odd Positive Negative Prime Composite Natural Whole Integer Rational Irrational Real Undefined

11. Which elements of the set
belong
to each category listed below?
(a) Even
(b) Odd
(c) Positive
(d) Negative
(e) Prime
(f) Composite
(g) Natural
(h) Whole
(i) Integer
(j) Real
(k) Rational
(l) Irrational
(m) Undefined

## Exercise Set 1.1: Numbers

12. Which elements of the set
belong to each category listed below?
(a) Even
(b) Odd
(c) Positive
(d) Negative
(e) Prim
(f) Composite
(g) Natural
(h) Whole
(i) Integer
(j) Real
(k) Rational
(l) Irrational
(m) Undefined

Fill in each of the following tables. Use “Y” for yes if
the row name applies to the number or “N” for no if it
does not.

13.

 1 -55 Undefined Natural Whole Integer Rational Irrational Prime Composite Real

14.

 2.36 Undefined Natural Whole Integer Rational Irrational Prime Composite Real

Answer the following. If no such number exists, state
“Does not exist.”

15. Find a number that is both prime and even.
16. Find a rational number that is a composite
number.
17. Find a rational number that is not a whole
number.
18. Find a prime number that is negative.
19. Find a real number that is not a rational number.
20. Find a whole number that is not a natural
number.
21. Find a negative integer that is not a rational
number.
22. Find an integer that is not a whole number.
23. Find a prime number that is an irrational number.
24. Find a number that is both irrational and odd.

25. All natural numbers are integers.
26. No negative numbers are odd.
27. No irrational numbers are even.
28. Every even number is a composite number.
29. All whole numbers are natural numbers.
30. Zero is neither even nor odd.
31. All whole numbers are integers.
32. All integers are rational numbers.
33. All nonterminating decimals are irrational
numbers.
34. Every terminating decimal is a rational number.

35. List the prime numbers less than 10.
36. List the prime numbers between 20 and 30.
37. List the composite numbers between 7 and 19.
38. List the composite numbers between 31 and 41.
39. List the even numbers between and .
40. List the odd numbers between and .

Fill in the appropriate symbol from the set { <, >, = } .

57. Find the additive inverse of the following
numbers. If undefined, write “undefined.”

58. Find the multiplicative inverse of the following
numbers. If undefined, write “undefined.”

59. Find the multiplicative inverse of the following
numbers. If undefined, write “undefined.”

60. Find the additive inverse of the following
numbers. If undefined, write “undefined.”

61. Place the correct number in each of the following
blanks:
(a) The sum of a number and its additive
inverse is _____. (Fill in the correct
number.)
(b) The product of a number and its
multiplicative inverse is _____. (Fill in the
correct number.)

62. Another name for the multiplicative inverse is
the ____________________.

Order the numbers in each set from least to greatest
and plot them on a number line .
(Hint: Use the approximations and
.)

 Prev Next

Start solving your Algebra Problems in next 5 minutes!

2Checkout.com is an authorized reseller
of goods provided by Sofmath

Attention: We are currently running a special promotional offer for Algebra-Answer.com visitors -- if you order Algebra Helper by midnight of December 11th you will pay only \$39.99 instead of our regular price of \$74.99 -- this is \$35 in savings ! In order to take advantage of this offer, you need to order by clicking on one of the buttons on the left, not through our regular order page.

If you order now you will also receive 30 minute live session from tutor.com for a 1\$!

You Will Learn Algebra Better - Guaranteed!

Just take a look how incredibly simple Algebra Helper is:

Step 1 : Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:

Step 2 : Let Algebra Helper solve it:

Step 3 : Ask for an explanation for the steps you don't understand:

Algebra Helper can solve problems in all the following areas:

• simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values)
• factoring and expanding expressions
• finding LCM and GCF
• (simplifying, rationalizing complex denominators...)
• solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations)
• solving a system of two and three linear equations (including Cramer's rule)
• graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions)
• graphing general functions
• operations with functions (composition, inverse, range, domain...)
• simplifying logarithms
• basic geometry and trigonometry (similarity, calculating trig functions, right triangle...)
• arithmetic and other pre-algebra topics (ratios, proportions, measurements...)

ORDER NOW!

2Checkout.com is an authorized reseller
of goods provided by Sofmath

 "It really helped me with my homework.  I was stuck on some problems and your software walked me step by step through the process..." C. Sievert, KY

 Sofmath 19179 Blanco #105-234San Antonio, TX 78258 Phone: (512) 788-5675Fax: (512) 519-1805