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Write the fraction as a decimal.
Lesson 9.2, For use with pages 475-480
1. 38
2. 311
ANSWER 0.375
Write the fraction as a decimal.
Lesson 9.2, For use with pages 475-480
1. 38
2. 311
ANSWER 0.27
Essential Questions
What is the difference between an irrational number and a rational number?
How are real numbers and the Pythagorean Theorem used in everyday life?
What types of real-life situations could the Pythagorean Theorem or square roots apply to? Why?
Concept
Definition
Map
What is this? (Definition)
Examples
What is this like?
Non-ExamplesRational
Numbers
Comparing Rational Numbers
An easy way to compare fractions and decimals is to get them both in decimal form.
Use >, <, or = in the following examples
EXAMPLE 2 Comparing Real Numbers12
Graph and on a number line. Then copy and
complete the statement
12
12
12
? with <, >, = or.SOLUTION
Use a calculator to approximate the square root. Graph the decimal forms of the numbers on a number line and compare.
Answer
12
Because is to the left of 12
12>
GUIDED PRACTICE for Example 2
5. 4 ? 8
Copy and complete the statement with <, >, or =
ANSWER
4 > 8
6.54 ? 4
5
ANSWER
54 4
5<
GUIDED PRACTICE for Example 2
5. 4 ? 8
Copy and complete the statement with <, >, or =
6.54 ? 4
5
GUIDED PRACTICE for Example 2
Copy and complete the statement with <, >, or =
7. 14
? 14
8. 7 3?
GUIDED PRACTICE for Example 2
Copy and complete the statement with <, >, or =
7. 14
? 14
ANSWER
14 <
14
8. 7 3?
ANSWER
7 3<
EXAMPLE 3 Ordering Real Numbers
Order the numbers 0.47 , 0.474 , 0.47 , and 0.23 from least to greatest.
SOLUTION
STEP 1 Write each decimal out to six decimal places.
0.474
0.47
0.47 = 0.477777 . . .
= 0.474474 . . .
0.23
= 0.474747 . . .
= 0.479583 . . .
EXAMPLE 3
STEP 2
0.474474 . . .,
0.474747. . .,
0.477777. . .,
0.479583 . . .
Ordering Real Numbers
Write the decimals in order:
EXAMPLE 3
STEP 2
0.474474 . . .,
0.474747. . .,
0.477777. . .,
0.479583 . . .
Ordering Real Numbers
Write the decimals in order:
ANSWER From least to greatest, the order is 0.474 , 0.47 , 0.47 , and 23 .
GUIDED PRACTICE for Example 3
10. Order the decimals 1.7, 1.7 , 1.89 , and 1.3 from least to greatest.
STEP 1
Write each decimal out to four decimal places
1.7 = 1.7000
= 1.3038
1.89 1.8989=
1. 3 = 1.3000
1.7
GUIDED PRACTICE for Example 3
STEP 2
Write each decimal in order
1.30……….
1.33……….
1.70……….
1.89……….
GUIDED PRACTICE for Example 3
STEP 2
Write each decimal in order
1.30……….
1.33……….
1.70……….
1.89……….
ANSWER From least to greatest, the order is
, 1.3 1.7, 1.89,1.7
Page 478 #16-21
16.5/6 __ √5/6
17.√0.9 __0.9
18.√2.25 __ 3.5/2.4
19.√4.6 __2.5
20.2.6__ √6.7
21.√8/11 __9/10
Homework
Page 478 #22-30, 34-38 22-30 Copy and complete. You do NOT have
to say what method you used. SHOW YOUR WORK!
2 points per problem One for work/ problem copied One for answer
