Transcript Comparing and Ordering Decimals

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Objective
Compare and order decimals
Vocabulary
Equivalent decimals
Decimals that name the same number
0.6
0.60
Math
Symbols
<
less than
>
greater than
Example 1 Compare Decimals
Example 2 Order Decimals
BASEBALL The table below lists the final winning
percents for several American League baseball teams
in 2001. Use > or < to compare New York’s percent
with Cleveland’s percent.
2001 Final Standings
Team
Percent Standings
New York
0.594
Boston
0.509
Cleveland
0.562
Detroit
0.407
Source: www.espn.com
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2001 Final Standings
Team
Percent Standings
New York
0.594
Boston
0.509
Cleveland
0.562
Detroit
0.407
New York
0.594
Write the New York data
Cleveland
0.562
Write the Cleveland data, lining
up the decimal with New York’s
data
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New York
0.594
Cleveland
0.562
9 > 6
Compare digits beginning at the
left and work to the right
The zeros (0) are the same so
go to the next digit
The fives (5) are the same so go
to the next digit
Since the digits are not the
same, compare
The 9 greater than the 6
So 0.594 is greater than 0.562
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2001 Final Standings
Compare New
York’s
percent with
Cleveland’s
New York
Cleveland
9 > 6
0.594
0.562
Team
Percent Standings
New York
0.594
Boston
0.509
Cleveland
0.562
Detroit
0.407
So 0.594 is greater than 0.562
In a comparison, must use both
teams in the answer and in the
order the question asked
Answer:
New York had a higher percentage than Cleveland
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EXAMS In Mr. Smith’s math class, 29.65% of the
students earned a grade of “A” at the end of the
semester. In Mrs. Dempsey’s class, 29.85% of the
students earned a grade of “A” at the end of the
semester. Use > or < to compare the percent in Mr.
Smith’s class with the percent in Mrs. Dempsey’s class.
Answer:
Mr. Smith’s class percentage was less than Mrs.
Dempsey’s class
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Order 25, 25.1, 24.36, and 25.03 from least to greatest.
25.00
25
25.1
25.10
24.36
25.03
Write the first number
Since the other numbers have
as many as 2 decimal places,
annex 2 zeros after the decimal
Write the second number
Annex a zero
Write the third number
Write the fourth number
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Order 25, 25.1, 24.36, and 25.03 from least to greatest.
25
25.00
25.10
25.1
24.36
25.03
Compare beginning with the first
digit on the left working to the right
All the digits are the same so go to
the next digit
The 4 is smaller than the 5 so
24.36 is the smallest number
Compare the next digits
24.36,
The 0 is smaller than the 1 so
compare the 2 numbers with the
zeros
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Order 25, 25.1, 24.36, and 25.03 from least to greatest.
25
25.00
25.10
25.1
24.36
25.03
The 0 is smaller than the 1 so
compare the 2 numbers with the
zeros
0 is less than 3 so 25.00 is smaller
than 25.03
One number remains so it is the
largest
Answer:
24.36, 25.00, 25.03, 25.10
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*
Order 71, 71.04, 70.89, and 71.4 from least to greatest.
Answer:
70.89, 71.00, 71.04, 71.40
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Lesson 3:2
Assignment
Comparing and
Ordering Decimals
8 - 23 All