Beginning Algebra, 11th Edition

48 CHAPTER 1 The Real Number System

The two tables show the heights of some selected mountains and the depths of some selected

trenches. Use the information given to answer Exercises 129–134.

Source: World Almanac and Book of Facts.

Mountain Height (in feet)

Foraker 17,400

Wilson 14,246

Pikes Peak 14,110

Depth (in feet,

Trench as a negative number)

Philippine 32,995

Cayman 24,721

Java -23,376

129.What is the difference between the height of

Mt. Foraker and the depth of the Philippine Trench?

130.What is the difference between the height of Pikes

Peak and the depth of the Java Trench?

131.How much deeper is the Cayman Trench than the

Java Trench?

132.How much deeper is the Philippine Trench than the

Cayman Trench?

133.How much higher is Mt. Wilson than Pikes Peak?

134.If Mt. Wilson and Pikes Peak were stacked one on

top of the other, how much higher would they be

than Mt. Foraker?

STUDY SKILLS

You may have used “flash cards” in other classes. In
math, “study cards” can help you remember terms and
definitions, procedures, and concepts. Use study cards to

N Quickly review when you have a few minutes;

N Review before a quiz or test.

One of the advantages of study cards is that you learn
while you are making them.

Vocabulary Cards

Put the word and a page reference on the front of the card.
On the back, write the definition, an example, any related
words, and a sample problem (if appropriate).

Procedure (“Steps”) Cards

Write the name of the procedure on the front of the
card. Then write each step in words. On the back of the
card, put an example showing each step.

Make a vocabulary card and a procedure card for mate-
rial you are learning now.

Using Study Cards

Integers p. 28

Def: The natural numbers

their opposites

and 0.

{1, 2, 3, 4, ...}

{-1, -2, -3, -4, ...}

{0}

Integers

No fractions, decimals, roots

{ ... , -3, -2, -1, 0, 1, 2, 3, ...}

Related word: rational numbers

Front of

Card

Back of

Card

Evaluating Absolute Value (Simplifying)

1. Work inside absolute value bars first (like working
   inside parentheses).


2. Find the absolute value (never negative).


3. A negative sign in front of the absolute value bar
   is NOT affected, so keep it!

Front of

Card

Back of

Examples: Card

Simplify Work inside: 10 – 6 = 4

Absolute value of 4 is 4.

Absolute value of –12 is 12.

Keep negative sign that was

in front.

Simplify

| 10 – 6 |

• | –12 |
  –12

| 4 | = 4

p. 33

http://www.ebook777.com

http://www.ebook777.com