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A Mongolian gerbil’s tail is about the same length as its body. A gerbil has a body length of centimeters and a tail length of centimeters. Which is longer, the body or the tail?
11
EXAMPLE 1
Comparing Metric Lengths
10.6
Gerbils
To answer the question above, picture the metric ruler below. The tail length, centimeters, is to the left of the body length, 11 centimeters.
10.6
A Mongolian gerbil’s tail is about the same length as its body. A gerbil has a body length of centimeters and a tail length of centimeters. Which is longer, the body or the tail?
EXAMPLE 1
Comparing Metric Lengths
1110.6
Gerbils
You can say:
EXAMPLE 1
Comparing Metric Lengths
is less than
10.6 11 or
You can say:
EXAMPLE 1
Comparing Metric Lengths
is less than is greater than
10.610.6 11 11or
You can say:
EXAMPLE 1
Comparing Metric Lengths
is less than is greater than
10.610.6 11 11or
The gerbil’s body is longer than its tail.
ANSWER
EXAMPLE 2 Standardized Test Practice
EXAMPLE 2 Standardized Test Practice
Graph each number on a number line. Begin by marking tenths from to .Then mark hundredths by dividing each tenth into ten sections.
3.0 3.3
SOLUTION
EXAMPLE 2 Standardized Test Practice
Graph each number on a number line. Begin by marking tenths from to .Then mark hundredths by dividing each tenth into ten sections.
SOLUTION
3.33.0
EXAMPLE 2 Standardized Test Practice
ANSWER
An ordered list of the numbers is 3, 3.06, 3.1, 3.15, and 3.28. The answer is B.
EXAMPLE 3 Comparing Decimals
Copy and complete the statement with <, > or =.
EXAMPLE 3 Comparing Decimals
a. 5.796 5.802
Copy and complete the statement with <, > or =.
?
EXAMPLE 3 Comparing Decimals
.
a. 5.796 5.802
5.796
5.802
Copy and complete the statement with <, > or =.
?
EXAMPLE 3 Comparing Decimals
.
a. 5.796 5.802
5.796
5.802
The ones’ digits are the same.
The tenths’ digits are different: 7 < 8
Copy and complete the statement with <, > or =.
?
EXAMPLE 3 Comparing Decimals
.
a. 5.796 5.802
5.796
5.802
The ones’ digits are the same.
The tenths’ digits are different: 7 < 8
ANSWER
5.796 < 5.802
Copy and complete the statement with <, > or =.
?
EXAMPLE 3 Comparing Decimals
2.94 2.9b.
Copy and complete the statement with <, > or =.
?
EXAMPLE 3 Comparing Decimals
4
2.94 2.9b.
2.9
2.90
Copy and complete the statement with <, > or =.
?
EXAMPLE 3 Comparing Decimals
4
2.94 2.9b.
2.9
2.90
The ones’ and tenths’ digits are the same.
Write a zero.The hundredths’ digits are different: 4 > 0
Copy and complete the statement with <, > or =.
?
EXAMPLE 3 Comparing Decimals
4
2.94 2.9b.
2.9
2.90
The ones’ and tenths’ digits are the same.
Write a zero.The hundredths’ digits are different: 4 > 0
2.94 > 2.9
ANSWER
Copy and complete the statement with <, > or =.
?
EXAMPLE 4 Ordering Decimals
Order the gerbils from heaviest to lightest.
EXAMPLE 4
The digits are the same through the tenth’s place. Compare hundredths and then thousandths if necessary:
SOLUTION
Order the gerbils from heaviest to lightest.
Ordering Decimals
EXAMPLE 4
The digits are the same through the tenth’s place. Compare hundredths and then thousandths if necessary:
77.0250, 77.0212, 77.0113, 77.0033and
SOLUTION
Order the gerbils from heaviest to lightest.
Ordering Decimals
EXAMPLE 4
The digits are the same through the tenth’s place. Compare hundredths and then thousandths if necessary:
The gerbils, from heaviest to lightest, are Alexi, Donald, Edgar, and Herbie.
ANSWER
SOLUTION
Order the gerbils from heaviest to lightest.
Ordering Decimals
77.0250, 77.0212, 77.0113, 77.0033and
EXAMPLE 3
, ,
GUIDED PRACTICE for Examples 1, 2, 3, and 4
Copy and complete the statement with <, > or =.
EXAMPLE 3
, ,
1.
GUIDED PRACTICE for Examples 1, 2, 3, and 4
Copy and complete the statement with <, > or =.
7.54 7.45?
EXAMPLE 3
, ,
1.
GUIDED PRACTICE
7.54 > 7.45
for Examples 1, 2, 3, and 4
Copy and complete the statement with <, > or =.
7.54 7.45?
ANSWER
EXAMPLE 3
, ,
2.
GUIDED PRACTICE for Examples 1, 2, 3, and 4
Copy and complete the statement with <, > or =.
8.5 8.50?
EXAMPLE 3
, ,
2.
GUIDED PRACTICE for Examples 1, 2, 3, and 4
ANSWER 8.5 = 8.50
Copy and complete the statement with <, > or =.
8.5 8.50?
EXAMPLE 3GUIDED PRACTICE for Examples 1, 2, 3, and 4
, ,
3. 0.409 ? 0.411
Copy and complete the statement with <, > or =.
EXAMPLE 3GUIDED PRACTICE for Examples 1, 2, 3, and 4
, ,
3. 0.409 ? 0.411
0.409 < 0.411
Copy and complete the statement with <, > or =.
ANSWER
EXAMPLE 3GUIDED PRACTICE for Examples 1, 2, 3, and 4
, ,
4. Order the lengths from longest to shortest: 0.6445 m, 0.6544 m, 0.6545 m, and 0.6454 m.
Copy and complete the statement with <, > or =.
EXAMPLE 3GUIDED PRACTICE for Examples 1, 2, 3, and 4
, ,
4. Order the lengths from longest to shortest: 0.6445 m, 0.6544 m, 0.6545 m, and 0.6454 m.
ANSWER 0.6545 m, 0.6544 m, 0.6454 m, 0.6445 m
Copy and complete the statement with <, > or =.
