﻿ Comparing Decimals Worksheet | Problems & Solutions

# Comparing Decimals Worksheet

Comparing Decimals Worksheet
• Page 1
1.
Which point best represents the location 0.2 on the number line?

 a. Q b. P c. R d. S

#### Solution:

0.2 lies between 0 and 0.5.

On the number line, 0.5 is represented by 1 / 2.

0.2 is closer to 0 than 0.5.

Therefore, P represents 0.2 on the number line.

2.
Which point best represents the location 0.7 on the number line?

 a. P b. M c. N d. L

#### Solution:

0.7 lies between 0.5 and 1.

On the number line, 0.5 is represented by 1 / 2.

0.7 is closer to 0.5 than 1.

Therefore, N represents 0.7 on the number line.

3.
Which point best describes the location 0.9 on the number line?

 a. R b. P c. Q d. S

#### Solution:

0.9 is closer to 1.

Among the points, S is closer to 1.

So, S represents 0.9 on the number line.

4.
Which point best describes the location 0.4 on the number line?

 a. P b. Q c. R d. S

#### Solution:

0.4 lies between 0 and 0.5.

On the number line, 0.5 is represented by 1 / 2.

0.4 is closer to 0.5.

So, R represents 0.4 on the number line.

5.
Which point best describes the location of 0.1 on the number line?

 a. E b. F c. H d. G

#### Solution:

0.1 is closer to 0.

Among the points, E is closer to 0.

Therefore, E represents 0.1 on the number line.

6.
Which of the given comparison statements is true for the decimals $1.05 and$1.03?
 a. $1.03 =$1.05 b. $1.03 >$1.05 c. cannot be determined d. $1.03 <$1.05

#### Solution:

$1.05 and$1.03
[Original decimals.]

From the above statement 5 and 3 are not same, 3 < 5.

1.03 < 1.05

So, the statement $1.03 <$1.05 is true.

7.
The table shows the weights of vegetables that Sheela bought.
 Vegetables Weight (pounds) Tomatoes 2.05 Onions 2.75 Potatoes 2.25 Brinjals 2.50

Which list shows the weights of the vegetables in order from the least to the greatest?
 a. tomotoes, potatoes, onions, brinjals b. tomotoes, potatoes, brinjals, onions c. brinjals, tomotoes, onions, potatoes d. brinjals, tomotoes, potatoes, onions

#### Solution:

All the digits have 2 at the left of the decimal point.

Consider the digits at the right of the decimal point, that is the tenths place in all the numbers, 0 < 2 < 5 < 7

2.05 < 2.25 < 2.50 < 2.75

Tomotoes, Potatoes, Brinjals, and Onions is the order of the vegetables in weights from least to greatest.

8.
Arrange the decimals 7.07, 7.41, 7.89, and 7.29 in order from the least to the greatest.
 a. 7.07, 7.29, 7.41, and 7.89 b. 7.07, 7.41, 7.29, and 7.89 c. 7.07, 7.89, 7.29, and 7.41 d. 7.89, 7.41, 7.29, and 7.07

#### Solution:

The ones place in the decimals are the same.

Consider the tenths place of the decimals.

0 < 2 < 4 < 8
[Compare the tenths place of the decimals.]

That is, 7.07 < 7.29 < 7.41 < 7.89.

7.07, 7.29, 7.41, and 7.89 is the order the decimals from the least to the greatest.

9.
Several girls participated in a running race. Among them, Martina finished the race in 42.10 sec, Maria finished the race in 42.01 sec, and Mary finished it in 42.12 sec. Which list shows the names of girls who came in first, second, and third places?
 a. Martina, Maria, and Mary b. Maria, Martina, and Mary c. Maria, Mary, and Martina d. Martina, Mary, and Maria

#### Solution:

The digits in the tens place and ones place in the decimals are the same.

Consider the tenths place of the decimals 42.10, 42.01, and 42.12

0 < 1
[Compare the tenths place of the decimals.]

So, Maria came first in the race.

Tenths place of the decimals 42.10 and 42.12 are the same.

0 < 2
[Compare the hundredths place of the decimals.]

So, Martina came second and Mary came third in the race.

So, Maria came first, Martina came second, and Mary came third in the race.

10.
The table shows the daily earnings of four people.
 Name Daily earnings($) Micheal$83.50 Kevin $82.00 Greg$85.50 Tom \$95.00

Which list shows their daily earnings from the highest to the lowest?
 a. Tom, Micheal, Greg, Kevin b. Tom, Greg, Micheal, Kevin c. Kevin, Greg, Micheal, Tom d. Kevin, Micheal, Greg, Tom

#### Solution:

Consider the tens place of the daily earnings of all the four people.

9 > 8
[Compare the tens place of the numbers.]

So, Tom earns more than others.

Consider the ones place of the daily earnings of the remaining people.

5 > 3 > 2
[Compare the ones place of the numbers.]

So, daily earning of Greg > daily earning of Micheal > daily earning of Kevin.

Tom, Greg, Micheal, Kevin is the order of the daily earnings from the greatest and the least.