Which number line correctly plots the value of ? Explain your reasoning.
A
B
C
Number line with 11 evenly spaced tick marks. Labeled 4, blank, blank, blank, blank, 4 point 5, blank, blank, blank, blank, 5. Point between 4 point 5 and blank tick mark.
D
20.2
Activity
Rational numbers are numbers that can be expressed as fractions with non-zero denominators.
All of these numbers are rational numbers. Show that they are rational by writing them in the form or for integers and .
6.28
-7.1234
All rational numbers have decimal representations, too. Find the decimal representation of each of these rational numbers.
What do you notice about the decimal representations of rational numbers?
20.3
Activity
Although is irrational, we can approximate its value by considering values near it.
How can we know that is between 1 and 2?
How can we know that is between 1.4 and 1.5?
Approximate the next decimal place for .
Use a similar process to approximate the to the thousandths place.