Denseness of Rational Numbers. Pre-Algebra Mrs. Yow. What does it mean to be DENSE?. Which material is more DENSE here?. Why???????. Which material is more DENSE here?. The Hair!!!. Compare Rational Numbers (Find numbers between). Using Models Using Common Denominators
Denseness of Rational Numbers
When the denominators of two fractions are the same,
the one with the greater numerator represents
the larger rational number.
The Fundamental Law of Fractions can be used to
write equivalent fractions with the same denominator
if the denominators of the fractions to be compared are
The Cross-Product can also be used to compare
fractions that have different denominators.
FACE TIME (20-25 minutes
Determine the validity of the following statement.
“If x and y are rational numbers, then x < y < 0 guarantees that x2 < y2.”
Using your calculator, find a rational number between and .
Using your calculator, find a fraction between the rational numbers and . (DOK 3)
Find the product of and . Then
divide the product by 2. Will the answer yield
a rational number between and ?
3.45 is a solution to the inequality 3 < x < 3 .
Which statement justifies that 3.45 is a true value for x?
a) 3.45 is less than 3 .
b) 3.45 is greater than 3.5 and less than 3 .
c) 3.45 is greater than 3 and less than 3 .
d) 3 is greater than 3.45.
Write three numbers between: -2.4 < x < -2.31
Write a number that is greater than but less
Which of the following rational numbers is not
between and ?
How many rational numbers are between 3.76 and 3.77?