1. Assignment: due in 20 minutes
Set 1.3: even

2. Unit 1: foundations of algebra
Learning Target: I can perform arithmetic calculations involving fractions, decimals and percents. (KYOTE CR 3).

3. 1.4: Decimals and percentages
Fractions and decimals are two different ways to represent numbers. You should be able to convert a fraction to a decimal and vice-versa as described in the next two examples.

4. Examples:
Example 1. Write each fraction or mixed number as a decimal.
(a) (b) (c) 2 11
Hint: Use long division to simplify the fractions.

5. Rewriting decimals to fractions
The “place-value” structure of the number system permits us to write any decimal number as a fraction or a mixed number.
Example 2. Write each decimal number as a fraction in reduced form.
(a) (b)

6. Rounding decimals
We use rounding frequently when working with decimals and describe this technique in Example 3.
Example 3. Round to (a) the nearest integer (b) the nearest tenth (c) the nearest hundredth (d) the nearest thousandth.

7. percentages
The ability to work with percentages is most useful because percentages occur in so many important applied problems. We examine some of the basic calculations involving percentages in Example 4.
% 100 = 𝑖𝑠 𝑜𝑓 is the proportion equation that I have found easiest to calculate percentages and other values.

8. percentages Example 4. (a) What is 4.5% of 8000 ?
(b) What is % of 520?
(c) The number 50 is what percent of 400?
(d) The number 17 is what percent of 93? Round your answer to the nearest tenth of a percent.
(e) The number 140 is 4 percent of what number?