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Simplifying Complex Fractions
105–110 Simplify the complex fractions.
105.
106.
107.
108.
109.
110.
Adding and Subtracting Decimals
111–114 Find the sums and differences of the decimal numbers and variable expressions.
111.
112.
113.
114.
Multiplying Decimals
115–118 Find the products of the decimal numbers and variable expressions.
115.
116.
117.
118.
Dividing Decimals
119–124 Find the quotients of the decimal numbers. Round the answer to three decimal places, if necessary.
119.
120.
121.
122.
123.
124.
Changing Fractions to Decimals
125–132 Rewrite each fraction as an equivalent decimal.
125.
126.
127.
128.
129.
130.
131.
132.
Changing Decimals to Fractions
133–140 Rewrite each decimal as an equivalent fraction.
133. 0.75
134. 0.875
135. 0.0008
136. 0.1525
137. 0.888…
138. 0.636363…
139. 0.261261…
140. 0.285714285714…
Chapter 4
Making Exponential Expressions and Operations More Compatible
An exponential expression consists of a base and a power. The general format of an exponential expression is bn, where b is the base and n is the power or exponent. The base, b, has to be a positive number, and the power, n, is a real number. Positive powers, negative powers, and fractional powers all have special meanings and designations.
The Problems You’ll Work On
Here are some of the things you do in this chapter:
Multiplying and dividing exponential factors with the same base
Raising a power to a power — putting an exponent on an exponential expression
Combining operations — deciding what comes first when multiplying, dividing, and raising to powers
Changing numbers to the same base so they can be combined
Writing numbers using scientific notation
What to Watch Out For
Be sure you also remember the following:
