#### Solved Examples and Worksheet for Comparing Decimals to Hundredths

Q1Choose the appropriate symbol to compare the decimals.
94.5 __ 94.05

A. =
B. >
C. <
D. I don′t know.

Step: 1
94.5 __ 94.05
[Original Equation.]
Step: 2
94.5 > 94.05
[The tenths place of 94.5 is greater than that of 94.05.]
Q2Identify the appropriate symbol that best fills the blank.
63.55__64.55

A. <
B. =
C. >

Step: 1
63.55__64.55
[Original expression.]
Step: 2
By observing, the digits in the tens place of the two numbers are equal.
[6 = 6]
Step: 3
Comparing the digits in the units place, 63.55 < 64.55
[3 < 4.]
Step: 4
So, 63.55 will be on the left of 64.55 on the number line.
Step: 5
So, the symbol that suits the blank is <.
[63.55 < 64.55]
Q3Fill in the blank with the suitable symbol.
8.38 __ 8.37

A. =
B. >

Step: 1
The ones places of the decimals are the same.
Step: 2
The tenths places of the decimals are the same.
Step: 3
The hundredths place of 8.38 is greater than that of 8.37
[Since 8 > 7.]
Step: 4
So, 8.38 > 8.37
Step: 5
'>' is the suitable symbol for the blank in the statement.
Q4Fill in the blank with the suitable symbol.
2.35 __2.36

A. >
B. <

Step: 1
2.35__ 2.36
[Original statement.]
Step: 2
The ones places of the decimals are the same.
Step: 3
The tenths places of the decimals are the same.
Step: 4
The hundredths place of 2.35 is less than that of 2.36
[Since 5 < 6.]
Step: 5
So, 2.35 < 2.36
Step: 6
'<' is the suitable symbol for the blank in the statement.
Q5Fill in the blank with the appropriate symbol that best compares the decimals.
95.33 __ 96.33

A. <
B. >
C. =
D. None of these

Step: 1
95.33 __ 96.33
[Original expression.]
Step: 2
By observing, the digits in the tens place of the two numbers are equal.
[9 = 9.]
Step: 3
Comparing the digits in the units place, 95.33 < 96.33.
[5 < 6.]
Step: 4
So, 95.33 will be on the left of 96.33 on the number line.
Step: 5
So, the symbol that suits the blank is <.
[95.33 < 96.33.]
Q6Identify the symbol that best compares the decimals.
6.36 __ 6.35

A. >
B. <
C. =
D. None of these

Step: 1
6.36 __ 6.35
[Original expression.]
Step: 2
Both the decimals have the same number in the ones place.
Step: 3
Both the decimals have the same number in the tenths place.
Step: 4
The hundredths place of 6.36 is greater than that of 6.35.
[Since 6 > 5.]
Step: 5
So, 6.36 > 6.35.
Step: 6
'>' is the suitable symbol for the blank in the statement.
Q7Compare the following amounts using the relational symbol (<, >, =).
$9.06 _______$9.60

A. =
B. <
C. >
D. None of the above

Step: 1
9 dollars and 6 cents equals $9.06. Step: 2 9 dollars and 60 cents equals$9.60.
Step: 3
$9.06 is 54 cents less than$9.60.
Step: 4
So, $9.06 is less than$9.60.
Step: 5
Thus, $9.06 <$9.60.
Q8A fabric is sold in lengths of 6.46 meters, 6.66 meters and 6.96 meters. Which length measures the longest?
A. 6.66 meters
B. 6.46 meters
C. 6.96 meters

Step: 1
Compare the 3 lengths of the fabric : 6.46, 6.66, 6.96.
[Original decimals.]
Step: 2
[Comparing 6.46 and 6.66.]

Step: 3
From the above statement, 6 > 4 6.66 > 6.46.
Step: 4
[Comparing 6.66 and 6.96.]

Step: 5
From the above statement, 9 > 6 6.96 > 6.66.
Step: 6
So, 6.96 meters is the longest length of the fabric.
Correct Answer is :   6.96 meters
Q9Fill in the blank with the suitable symbol.
$3.24 _____$3.28

A. >
B. <
C. I don′t know.
D. =

Step: 1
$3.24 _____$3.28
[Original statement.]
Step: 2
The ones places of the decimals are the same.
Step: 3
The tenths places of the decimals are the same.
Step: 4
The hundredths place of 3.24 is less than that of 3.28.
[Since 4 < 8.]
Step: 5
So, $3.24 <$3.28.
Step: 6
'<' is the suitable symbol for the blank in the statement.
Q10Pick the appropriate symbol that best fills the blank.
$66.30 __$66.03

A. I don′t know.
B. =
C. >
D. <

Step: 1
$66.30 __$66.03
[Original Equation.]
Step: 2
$66.30 >$66.03
[Numbers on a number line are greater as you move to the right.]
Q11Identify the symbol that best compares the decimals.
9.29 __ 9.28

A. <
B. =
C. >

Step: 1
9.29 __ 9.28
[Original expression.]
Step: 2
The ones places of the decimals are the same.
Step: 3
The tenths places of the decimals are the same.
Step: 4
The hundredths place of 9.29 is greater than that of 9.28.
[Since 9 > 8.]
Step: 5
So, 9.29 > 9.28.
Step: 6
'>' is the suitable symbol for the blank in the statement.
Q12The monthly incomes of Brian and Charles are $1520.50 and$1520.75 respectively. Who earns more?

A. Brian
B. Charles
C. they earn equal amounts

Step: 1
The monthly incomes of Brian and Charles are $1520.50 and$1520.75.
Step: 2

Step: 3
7 > 5
Step: 4
So, 1520.75 > 1520.50
Step: 5
So, Charles earns more than Brian.
Q13Compare:
0.47  0.44

A. >
B. =
C. <

Step: 1

Step: 2
From the above statement, 7 and 4 are not equal.
Step: 3
7 > 4
Step: 4
So, 0.47 > 0.44.
Q14Choose the appropriate symbol to compare the decimals.
72.5 __ 72.05

A. <
B. =
C. >
D. None of these

Step: 1
72.5 __ 72.05
[Original Equation.]
Step: 2
By converting the given decimals into like decimals,we get 72.50, 72.05
Step: 3
Clearly, we can identify that the whole number part of both the decimals are equal.Now, let us consider the decimal part.
Step: 4
The digit in tenths place of 72.50 is greater than the digit in tenths place of 72.50.That is, 72.50 > 72.05.
[Since 5 > 0.]
Step: 5
Hence 72.5 > 72.05.