1. A#16 / Holt Chapter 1 Ready to Go On? Part 1 Homework Worksheet
Homework Corrections
A#16 / Holt Chapter 1 Ready to Go On? Part 1 Homework Worksheet
90 – m
2. a) 3
b) 1
3. a) 66
b) 7
4. a)
b) undefined
5. a) - 3 ● 3 = -9 b)

2. Warm Up Evaluate each expression. 1. 62 2. 112 3. (-9)(-9) 4.
3. (-9)(-9)
Write each fraction as a decimal. 8.

3. Classwork Squares Exploration Worksheet Each person will need:
- 20 tiles

4. Lesson Objectives: I will be able to …
Page 18
Lesson Objectives: I will be able to …
Evaluate expressions containing square roots
Classify numbers within the real number
system
Language Objective: I will be able to …
Read, write, and listen about vocabulary, key
concepts, and examples

5. Page 18
A number that is multiplied by itself to form a product is called a square root of that product.
4 is the square root of 16.
16 is a
perfect square of since its square root (4) is a whole number.
A perfect square is a number whose positive square root is a whole number. Some examples of perfect squares are shown in the table.

6. The expression does not represent
a real number because there is no real number that can be multiplied by itself to form a product of –36.
Reading Math
6 ● 6 = 36 ≠ -36
-6 ● -6 = 36 ≠ -36
6 ● -6 = -36 (but 6 and -6 are not the same number)
So is not a real number!

7. Example 1: Finding Square Roots of Perfect Squares
Page 19
Find each square root. A.
42 = 16
Think: What number squared equals 16?
= 4
Positive square root positive 4. B.
32 = 9
Think: What is the opposite of the square root of 9?
= –3
Negative square root negative 3. C.
Think: What number squared equals ? 25 81
Positive square root positive 5 9

8. Think: What number squared equals 4?
Your Turn 1
Page 19
Find each square root. A.
22 = 4
Think: What number squared
equals 4?
= 2
Positive square root positive 2. B.
52 = 25
Think: What is the opposite of the square root of 25?
Negative square root negative 5.

9. The square roots of many numbers like , are not whole numbers
The square roots of many numbers like , are not whole numbers. A calculator can approximate the value of as Without a calculator, you can use square roots of perfect squares to help estimate the square roots of other numbers.

10. Natural numbers are the counting numbers: 1, 2, 3, …
Page 18
All numbers that can be represented on a number line are called real numbers and can be classified according to their characteristics.
Natural numbers are the counting numbers: 1, 2, 3, …
Whole numbers are the natural numbers and zero:
0, 1, 2, 3, …
Integers are whole numbers and their opposites: –3, –2, –1, 0, 1, 2, 3, … a b
Rational numbers can be expressed in the form ,
where a and b are both integers and b ≠ 0:
, , 1 2 7 9 10

11. Terminating decimals are rational numbers in
Page 18
Terminating decimals are rational numbers in
decimal form that have a finite number of digits:
1.5, 2.75, 4.0
Repeating decimals are rational numbers in
decimal form that have a block of one or more
digits that repeat continuously: 1.3, 0.6, 2.14
Irrational numbers cannot be expressed in the form . They include square roots of whole numbers that are not perfect squares and nonterminating decimals that do not repeat: ,
,  a b

12. and can be classified according to their characteristics.
All numbers that can be represented on a number line are called real numbers
Pages 18 – 19
and can be classified according to their characteristics.

13. Example 2: Classifying Real Numbers
Page 20
Write all classifications that apply to each real number.
A. –32 32 1
32 can be written as a fraction and a decimal.
–32 = – = –32.0
rational number (Q), integer (Z), terminating decimal
B. 5 5 1
5 can be written as a fraction and a decimal.
5 = = 5.0
rational number (Q), integer (Z), whole number (W), natural number (N), terminating decimal

14. Write all classifications that apply to each real number.
Your Turn 2
Page 20
Write all classifications that apply to each real number.
A. 7 4 9
7 can be written as a repeating decimal. 49
67  9 = 7.444… = 7.4
rational number (Q), repeating decimal B.
The digits continue with no pattern.
= …
irrational number

15. Cornell Notes Fill in the Essential Question:
“How do I evaluate expressions containing
square roots and classify numbers?”
Write two or three main ideas from this lesson
in the Notes section.
Write a Question for each main idea.
(The answer to the question should be the
main idea.)
Summarize the answers to your questions in
the Summary section.
Page 21

16. Classwork Am I Rational ? Each person will need: - white board
- dry erase marker

17. Homework
Assignment #17
1-5 Homework Worksheet