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Bell Ringer O Finish the organizer from yesterday.
Bell Ringer
O Finish the organizer from yesterday.
Section 1-3: Real Numbers and the
Number LinePearson Algebra I
I am learning to…
O Classify, graph, and compare real numbers.
O Find and estimate square roots.
Vocabulary Section 1-3
O Square root- A number a is a square root of
a number b if 𝑎2 = 𝑏.
O Radicand- the expression under the radical
symbol.
O Radical- the radical symbol and radicand
form a radical.
O Perfect Square- the square of an integer.
O Set- a well-defined collection of objects.
Vocabulary Section 1-3 continued…
O Element of a set- each object in a set.
O Subset- set consists of elements from the given
set.
O Rational Number- any number that can be
written in the form 𝑎
𝑏where a and b are integers
and 𝑏 ≠ 0.
O Natural Number- Counting Numbers. 1, 2, 3, …
O Whole Numbers- Counting Numbers plus 0. 0,
1,2, 3, …
Vocabulary Section 1-3 Continued…
O Integers- all counting numbers and their
opposites. … -2, -1, 0, 1, 2, 3, …
O Irrational Numbers- cannot be represented
as the quotient of two integers.
O Real Numbers- all rational and irrational
numbers.
O Inequality- a mathematical sentence that
compares the values of two expressions
using an inequality symbol.
Example 1: Simplifying Square Roots
O 64
O81
121
Example 2: Estimating a Square Root
O What is the value of 65 to the nearest
integer?
Example 3: Classifying Numbers
O To which subsets of the real numbers does
each number belong?
a) 9
b)3
10
c) -0.45
d) 12
Example 4: Comparing Real Numbers
O What is the inequality that compares 129and 11.52?
Example 5: Graphing and Ordering Real Numbers
O Graph 3.5, -2.1, 9, -7
2, and 5 on a number
line. What is the order of the numbers from
least to greatest?
Formative Assessments
O Homework: page 20 #’s 10-48 even
