MULTIPLICATION and DIVISION
o Simplify the fractions if not in lowest terms.
o Multiply the numerators of the fractions to get the new numerator.
o Multiply the denominators of the fractions to get the new denominator.
1. In Decimal Form
0.4443252 ____ 0.4433324
3.44 ____ 3.442
1003 _____ 1030
0.332 _____ 1.0004
2. In Fraction Form
a. Express both numbers as fractions – proper or improper
b. Find the common denominator
c. Express both fractions as equivalent fractions over the common
d. Compare the numerators if and only if a <
Summary: We now have the rational numbers, and we can
perform all four operations
with them and get a rational number answer. So, we have all the numbers we
OR DO WE???
Problem 1: Given a square with sides of length one inch,
how long is the diagonal?
Problem 2: Find the ratio of the circumference of a circle
to its diameter.
Neither of there two problems have answers that are
We need more numbers to describe REAL PHYSICAL LENGTHS.
Irrational Numbers are real numbers (real points on the
number line ) that CANNOT be
expressed as a ratio of two integers (fraction).
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