This document provides a step-by-step lesson on irrational numbers and decimal expansion. It asks the student to write 0.8 as a fraction and the fraction in decimal form. It then explains that 0.8 can be named as eight-tenths and written as the fraction 8/10. It further explains that to write a fraction like 43/100 in decimal form, one divides the numerator by the denominator.

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Irrational Numbers and Decimal Expansion - Step-by-Step Lesson
A. Write 0.8 as a fraction.
B. Write the fraction in decimal form.
Explanation:
A. Every place value name dictates the fraction.
0 . 8
ones tenths hundredths thousandths ten- thousandths
If you were to name this number it would be eight-tenths.
If we write eight-tenths as a fraction it would be eight over ten or:
8
10
B. We can interpret the division bar as “divided by”. So this tells us 43
should be divided by 100.
.430
100 ) 43.000
- 400
300
- 300
0