Chapter 3 Operations With Decimals Worksheet Page 6
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13Comparing and
3-2
Ordering Decimals
MAIN IDEA
SUBWAYS
Refer to the table.
Compare and order
decimals.
World’s Longest Subway Systems
City
Length (km)
NYS Core Curriculum
London
4.15
6.N.14 Locate rational
Moscow
3.4
numbers on a number
line (including positive
New York City
3.71
and negative).
Seoul
2.78
6.N.15 Order rational
numbers (including
Tokyo
2.81
positive and negative).
Also addresses 6.CN.8.
Source: Jane’s Urban Transport Systems
Which city has the longest subway system? Explain.
New Vocabulary
1.
inequality
equivalent decimals
Comparing decimals is similar to comparing whole numbers. You
can use the symbols > or < to write an inequality. An inequality
NY Math Online
is a mathematical sentence indicating that two quantities are not
equal. One quantity will be greater than or less than the other
• Extra Examples
quantity.
• Personal Tutor
• Self-Check Quiz
Compare Decimals
1
SUBWAYS
Refer to the table above. Use > or < to compare
Tokyo’s subway length with Seoul’s.
Use place value.
Tokyo: 2.81
First, line up the decimal points.
Seoul:
2.78
Then, starting at the left, find the first place the
digits differ. Compare the digits.
Since 8 > 7, 2.81 > 2.78. Tokyo has a longer subway than Seoul.
2.75
2.78
2.80
2.81
2.85
The number line shows that the answer is reasonable. Numbers to
the right are greater than numbers to the left. So, 2.81 > 2.78.
Use >, <, or = to compare New York City’s subway
SUBWAYS
a.
length with Moscow’s.
142
Chapter 3 Operations with Decimals
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