Comparing Decimals to Hundredths-Gr 4-Solved Examples

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.

Solutions

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.]

Correct Answer is : >

Q2Identify the appropriate symbol that best fills the blank.
63.55__64.55

A. <
B. =
C. >

Solutions

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]

Correct Answer is : <

Q3Fill in the blank with the suitable symbol.
8.38 __ 8.37

A. =
B. >

Solutions

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.

Correct Answer is : >

Q4Fill in the blank with the suitable symbol.
2.35 __2.36

A. >
B. <

Solutions

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.

Correct Answer is : <

Q5Fill in the blank with the appropriate symbol that best compares the decimals.
95.33 __ 96.33
A. <
B. >
C. =
D. None of these

Solutions

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.]

Correct Answer is : <

Q6Identify the symbol that best compares the decimals.
6.36 __ 6.35

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

Solutions

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.

Correct Answer is : >

Q7Compare the following amounts using the relational symbol (<, >, =).
$9.06 _______ $9.60

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

Solutions

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.

Correct Answer is : <

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

Solutions

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. =

Solutions

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.

Correct Answer is : <

Q10Pick the appropriate symbol that best fills the blank.
$66.30 __ $66.03

A. I don′t know.
B. =
C. >
D. <

Solutions

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.]

Correct Answer is : >

Q11Identify the symbol that best compares the decimals.
9.29 __ 9.28
A. <
B. =
C. >

Solutions

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.

Correct Answer is : >

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

Solutions

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.

Correct Answer is : Charles

Q13Compare:
0.47 0.44
A. >
B. =
C. <

Solutions

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.

Correct Answer is : >

Q14Choose the appropriate symbol to compare the decimals.
72.5 __ 72.05

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

Solutions

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.

Correct Answer is : >

Solved Examples and Worksheet for Comparing Decimals to Hundredths

Related Worksheet

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HighSchool Math