﻿ Equivalent Decimals Worksheet - Page 2 | Problems & Solutions

# Equivalent Decimals Worksheet - Page 2

Equivalent Decimals Worksheet
• Page 2
11.
The weights of two persons are 35.5 pounds and 35.50 pounds. Are the weights of the two persons the same?
 a. Yes b. No

#### Solution:

35.5 pounds is same as 35.50 pounds.
[As 5 tenths is same as 50 hundreths.]

The two decimals are equivalent decimals.

So, the weights of the two persons are the same.

12.
The models show the work completed by Charlie and Charles. Do they represent equivalent decimals?

 a. No b. Yes

#### Solution:

Model1 shows the completion of 60 parts of work out of 100 parts. It represents 0.60

Model2 shows the completion of 6 parts of work out of 10 parts. It represents 0.6

Both have the same amount.

So, they represent equivalent decimal numbers.

13.
Mr. Mike and Mr. Josh reach the finish line in 14.2 seconds and 14.4 seconds in a swimming competition. Are the two decimals equivalent?
 a. No b. Yes

#### Solution:

As the whole numbers of both the decimal numbers are equal, compare their decimal parts.

4 tenths is greater than 2 tenths.

14.4 is greater than 14.2.

So, the decimals are not equivalent.

14.
Tim completed reading a book of 0.6 parts and Joe completed the same book of 0.60 parts. Who completed more?
 a. Tim b. Joe c. Both completed reading the same number of pages d. None of the above

#### Solution:

Tim completed reading a book of 0.6 parts and Joe completed the same book of 0.60 parts.

0.6 is the 6th part of 10 and 0.60 is the 60th part of 100.

Both 0.6 and 0.60 are same.

Both have completed the same part.

15.
Pick an appropriate non-equivalent decimal for 0.05.
 a. 0.05 b. 0.5 c. 0.05 d. 0.05

#### Solution:

An equivalent decimal to 0.05 will have terminating zeroes to the right of 0.05.

All other choices except 0.50 have 0.05 with extra zeroes on the right. So 0.50 is not equal to 0.05.

The non equivalent decimal to 0.05 among the choices is 0.50

16.
Tim and Chris spend the same amount of time studying for exams. If Tim spends 6.2 hours a day studying, then how many hours a day does Chris spend studying?
 a. 6.20 hours b. 6.02 hours c. 6 hours d. 7 hours

#### Solution:

Tim spends 6.2 hours daily studying for exams.

From the choices, the equivalent decimal number for 6.2 is 6.20.

So, Chris spends 6.20 hours studying for exams.

17.
Which of the following is an equivalent decimal of 0.1000?
 a. 0.001 b. 10 c. 0.1 d. 0.01

#### Solution:

0.1000 is the 1000th part of 1000.

0.10 is the 10th part of 10.

0.1000 is equivalent decimal for 0.10.

18.
Which of the following choices is not equivalent to 0.050?
 a. 0.05 b. 0.5 c. 0.05 d. 0.05

#### Solution:

0.050 is the 50th part of 1000.

0.0500, 0.05000 and 0.050000 are equivalent decimals.

0.500 is the 500th part of 1000.

0.500 is not an equivalent decimal for 0.050.

19.
Which of the following choices is not equivalent to 5.112?
 a. 5.112 b. 5.112 c. 5.112 d. 5.0112

#### Solution:

We may add decimal places to a number without changing the value of the number by attaching one or more zeros to the right of the last decimal place.

5.1120, 5.11200 and 5.112000 are equivalent to 5.112.

5.0112 is less than 5.112.

5.112 and 5.0112 are not equivalent decimals.