Examples with solutions for Comparing Decimal Fractions: Find the missing number

Exercise #1

Choose the largest number of 0.65 0.65

Video Solution

Step-by-Step Solution

To determine which answer is correct, let's compare the answers to 0.65 and find out which one is larger:

Let's look at the answers:

0.66 - Since the hundredths digit is 6 and 6 is greater than 5, this is the correct answer.

0.749 - In this case, we'll add 0 to our number and compare between 0.650 and 0.749. Since the hundredths digit is 4 and 4 is less than 5, this is not the correct answer.

0.65 - Since both numbers are equal to each other, this is not the correct answer.

0.64 - Since the hundredths digit is 4 and 4 is less than 5, this is not the correct answer.

Answer

0.66 0.66

Exercise #2

Choose the largest number of0.751 0.751

Video Solution

Step-by-Step Solution

To determine which answer is correct, let's compare the answers to the number 0.751 and find out which one is larger:

Let's look at the answers:

0.752 - Since the thousandths digit is 2 and 2 is greater than 1, this is the correct answer.

0.749 - Since the hundredths digit is 4 and 4 is less than 5, this is not the correct answer.

0.75 - If we add 0 we get the number 0.750, since the thousandths digit is 0 and 0 is less than 1, this is not the correct answer.

0.751 - Since both numbers are equal to each other, this is not the correct answer.

Answer

0.752 0.752

Exercise #3

Choose the largest number of 0.7 0.7

Video Solution

Step-by-Step Solution

In order to know what the correct answer is, first let's add 0 to the number in the following way:

0.7=0.70 0.7=0.70

Let's look at the answers:

0.699 - If we add another 0 to our number and compare between 0.700 and 0.699, since the tenths digit is 6 and 6 is less than 7, this is not the correct answer.

0.69 - Since the tenths digit is 6 and 6 is less than 7, this is not the correct answer.

0.70 - Since both numbers are equal to each other, this is not the correct answer.

0.71 - Since the hundredths digit is 1 and 1 is greater than 0, this is the correct answer.

Answer

0.71 0.71

Exercise #4

Choose the number that is less than 0.91 0.91 .

Video Solution

Step-by-Step Solution

To determine which answer is correct, let's compare the answers and find out which one is less than 0.91:

Let's look at the answers:

0.9 - If we add 0 we get the number 0.90, since the hundredths digit is 0 and 0 is less than 1, this is the correct answer.

0.93 - Since the hundredths digit is 3 and 3 is greater than 1, this is not the correct answer.

0.92 - Since the hundredths digit is 2 and 2 is greater than 1, this is not the correct answer.

0.91 - Since both numbers are equal to each other, this is not the correct answer.

Answer

0.9 \text{0}.9

Exercise #5

Determine which of the following numbers is equal to 0.5 0.5 :

Video Solution

Step-by-Step Solution

In order to determine the correct answer, let's first add 0 to the number as follows:

0.5=0.50 0.5=0.50

Observe the answers:

0.50 - Both numbers are identical to each other, hence this is the correct answer.

0.505 - Let's add 0 to our number and compare 0.500 to 0.505. Given that the thousandths digit is 5 and in our number it's 0, the numbers are not identical, this is not the correct answer.

0.05 - Due to the fact that the tenths digit and hundredths digit are different from each other, meaning 0 and 5 versus 5 and 0, this is not the correct answer.

0.55 - Since the hundredths digit is 5 and in our number it's 0, the numbers are not identical, this is not the correct answer.

Answer

0.50 0.50

Exercise #6

Determine which of the following numbers is greater than 0.709 0.709 :

Video Solution

Step-by-Step Solution

In order to determine the correct answer, let's proceed to compare the answers to the number and determine which is larger:

0.71 - By adding another 0 we are able compare 0.709 and 0.710. Given that the hundredths digit is 1 and 1 is greater than 0, this is the correct answer.

0.69 - Once again add another 0 to compare 0.709 and 0.690. Since the tenths digit is 6 and 6 is less than 0, this is not the correct answer.

0.70 - We'll add another 0 to compare 0.709 and 0.700. Due to the fact that the thousandths digit is 0 and 0 is less than 9, this is not the correct answer.

0.7 - Add two zeros to compare 0.709 and 0.700. Since the thousandths digit is 0 and 0 is less than 9, this is not the correct answer.

Answer

0.71 0.71

Exercise #7

Determine which of the following numbers is larger than 0.31 0.31 :

Video Solution

Step-by-Step Solution

In order to determine the correct answer, let's first add 0 to the number 0.31 in the following way:

0.31=0.310 0.31=0.310

In other words, we need to find a number that is greater than 310

Let's observe the answers:

0.311 - Given that the thousandths digit is 1 and 1 is greater than 0, this is the correct answer.

0.309 - Due to the fact that the hundredths digit is 0 and 0 is less than 1, this is not the correct answer.

0.3 - If we add two zeros we obtain the number 0.300. Given that the hundredths digit is 0 and 0 is less than 1, this is not the correct answer.

0.31 - If we add 0 to the number we obtain 0.310. Due to the fact that the thousandths digit is 0 and 0 is less than 1, this is not the correct answer.

Answer

0.311 0.311

Exercise #8

Determine which of the following numbers is larger than 0.41 0.41 :

Video Solution

Step-by-Step Solution

Observe the number 0.41 . We can see that it equals 0.41

0.41=0.41 0.41=0.41

Therefore this is not the correct answer.

Observe the number 0.405. The number after the decimal point is identical meaning 4 equals 4 however the number 0 is less than 1

0.405 < 0.41

Therefore this is not the correct answer.

Let's look at the number 0.4, we'll add 0 to it to obtain the number 0.40. Now let's look at the numbers after the decimal point, 4 equals 4 and 0 is less than 1

0.40 < 0.41

Therefore this is not the correct answer.

Let's look at the number 0.42. We can see that the number after the decimal point is 4, and the number after it is 2. Since 2 is greater than 1

0.42 > 0.41

Therefore this is the correct answer

Answer

0.42 0.42

Exercise #9

Determine which of the following numbers is less than 0.81 0.81 :

Video Solution

Step-by-Step Solution

In order to determine which answer is correct, let's compare the answers and find out which one is less than 0.81:

Let's observe the answers:

0.801 - By adding 0 to our number we are able to easily compare 0.810 and 0.801. Given that the hundredths digit is 0 and 0 is less than 1, this is the correct answer.

0.81 - Since both numbers are equal to each other, this is not the correct answer.

0.82 - Due to the fact that the hundredths digit is 2 and 2 is greater than 1, this is not the correct answer.

0.822 - We'll add 0 to our number and compare 0.810 and 0.822. Given that the hundredths digit is 2 and 2 is greater than 1, this is not the correct answer.

Answer

0.801 0.801

Exercise #10

Select which of the following numbers is greater in value than0.201 0.201 :

Video Solution

Step-by-Step Solution

In order to determine the correct answer, compare the numbers in order to determine the largest one:

Let's observe the answers:

0.19 - By adding another 0 we can compare 0.190 to 0.201. The tenths digit is 1 and 1 is less than 2, this is not the correct answer.

0.199 - Since the tenths digit is 1 and 1 is less than 2, this is not the correct answer.

0.2 - If we add two zeros and compare 0.200 to 0.201, since the thousandths digit is 0 and 0 is less than 1, this is not the correct answer

0.202 - Given that the thousandths digit is 2 and 2 is greater than 1, this is the correct answer.

Answer

0.202 0.202

Exercise #11

Select which of the following numbers is greater in value than 0.71 0.71 :

Video Solution

Step-by-Step Solution

In order to determine the correct answer, compare the values in order to determine the largest number:

Let's observe the answers:

0.701 - By adding 0 to our number we are able to compare 0.701 to 0.710. Given that the hundreds digit is 0 and 0 is less than 1, this is not the correct answer.

0.71 - We'll once again add 0 to compare 0.710 to 0.710. Since both numbers are equal, this is not the correct answer.

0.72 - We'll add 0 and compare 0.720 to 0.710. Due to the fact that the hundreds digit is 2 and 2 is greater than 1, this is the correct answer

0.702 - We'll add another 0 to our number and compare 0.702 to 0.710, since the hundreds digit is 0 and 0 is less than 1, this is not the correct answer.

Answer

0.72 0.72

Exercise #12

Which of the following numbers is greater in value than 0.5 0.5 ?

Video Solution

Step-by-Step Solution

In order to determine the correct answer, add 0 to our number as follows:

0.5=0.50 0.5=0.50

Let's observe the answers:

0.55 - Given that the hundredths digit is 5 and 5 is greater than 0, this is the correct answer.

0.5 - If we add 0 and compare 0.50 to 0.50, due to the fact that both numbers are equal, this is not the correct answer.

0.42 - Owing to the fact that the tenths digit is 4 and 4 is less than 5, this is not the correct answer

0.499 - If we add another 0 to our number and compare 0.499 to 0.500, given that the tenths digit is 4 and 4 is less than 5, this is not the correct answer.

Answer

0.55 0.55

Exercise #13

Which of the following numbers is greater in value than 0.81 0.81 :

Video Solution

Step-by-Step Solution

In order to determine the correct answer, let's compare our number with the numbers in the answers:

Let's observe the answers:

0.801 - By adding 0 to our number we can compare 0.801 and 0.810. Given that the hundreds digit is 0 and 0 is less than 1, this is not the correct answer.

0.81 - Due to the fact that both numbers are equal to each other, this is not the correct answer.

0.82 - Since the hundreds digit is 2 and 2 is greater than 1, this is the correct answer

0.802 - Adding 0 to our number we can compare 0.802 to 0.810. Due to the fact that the hundreds digit is 0 and 0 is less than 1, this is not the correct answer.

Answer

0.82 0.82

Exercise #14

Which of the following numbers is larger in value than 0.41 0.41 :

Video Solution

Step-by-Step Solution

In order to determine the correct answer, let's proceed to compare our number with the numbers in the answers:

Observe the answers:

0.401 - By adding 0 to our number we are able to compare 0.401 and 0.410. Given that the hundredths digit is 0 and 0 is less than 1, this is not the correct answer.

0.411 - Once again by adding 0 to our number we are able to compare 0.411 and 0.410. Due to the fact that the thousandths digit is 1 and 1 is greater than 0, this is the correct answer.

0.4 - We'll add another 0 to the answer number and compare 0.40 and 0.41. Since the hundredths digit is 0 and 0 is less than 1, this is not the correct answer.

0.41 - Since both numbers are equal to each other, this is not the correct answer.

Answer

0.411 0.411

Exercise #15

Which of the following numbers is smaller than 0.29 0.29 .

Video Solution

Step-by-Step Solution

In order to determine the correct answer, let's compare our number with the numbers in the answers:

Observe the answers:

0.29 - Given that both numbers are equal to each other, this is not the correct answer.

0.3 - If we add 0 and compare 0.30 to 0.29, due to the fact that the tenths digit is 2 and 2 is less than 3, this is not the correct answer.

0.291 - If we add another 0 to our number and compare 0.290 to 0.291, owing to the fact that the thousandths digit is 1 and 1 is greater than 0, this is not the correct answer

0.28 - Since the hundredths digit is 8 and 8 is less than 9, this is the correct answer.

Answer

0.28 0.28