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

Exercise #1

Choose the largest number of 0.41 0.41

Video Solution

Step-by-Step Solution

Let's look at the number 0.41 and we can see that it equals 0.41

0.41=0.41 0.41=0.41

Therefore this is not the correct answer.

Let's look at the number 0.405, the number after the decimal point is identical meaning 4 equals 4 but 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 and get 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 #2

Choose the largest number of 0.31 0.31

Video Solution

Step-by-Step Solution

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 look at the answers:

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

0.309 - Since 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 get the number 0.300, since 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 get 0.310, since the thousandths digit is 0 and 0 is less than 1, this is not the correct answer.

Answer

0.311 0.311

Exercise #3

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 #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

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 #6

Choose the number that is less than 0.81 0.81 .

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 0.81:

Let's look at the answers:

0.801 - We'll add 0 to our number and compare between 0.810 and 0.801, since 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 - Since 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 between 0.810 and 0.822, since the hundredths digit is 2 and 2 is greater than 1, this is not the correct answer.

Answer

0.801 0.801

Exercise #7

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 #8

Choose the largest number of 0.709 0.709

Video Solution

Step-by-Step Solution

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

0.71 - We'll add another 0 to compare between 0.709 and 0.710, since the hundredths digit is 1 and 1 is greater than 0, this is the correct answer.

0.69 - We'll add another 0 to compare between 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 between 0.709 and 0.700, since the thousandths digit is 0 and 0 is less than 9, this is not the correct answer.

0.7 - We'll add two zeros to compare between 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 #9

Choose the number equal to 0.5 0.5

Video Solution

Step-by-Step Solution

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

0.5=0.50 0.5=0.50

Let's look at the answers:

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

0.505 - Let's add 0 to our number and compare between 0.500 and 0.505, since 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 - Since 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 #10

Choose the largest number of 0.201 0.201

Video Solution

Step-by-Step Solution

To determine the correct answer, we'll compare the numbers to find the largest one:

Let's look at the answers:

0.19 - If we add another 0 and compare 0.190 to 0.201, since 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 - Since the thousandths digit is 2 and 2 is greater than 1, this is the correct answer.

Answer

0.202 0.202

Exercise #11

Choose the largest number of 0.71 0.71

Video Solution

Step-by-Step Solution

To determine the correct answer, we'll compare the values to find the largest number:

Let's look at the answers:

0.701 - We'll add another 0 to our number and compare 0.701 to 0.710, since the hundreds digit is 0 and 0 is less than 1, this is not the correct answer.

0.71 - We'll add 0 and 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, since 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

Choose the largest number of 0.5 0.5

Video Solution

Step-by-Step Solution

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

0.5=0.50 0.5=0.50

Let's look at the answers:

0.55 - Since 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, since both numbers are equal, this is not the correct answer.

0.42 - Since 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, since the tenths digit is 4 and 4 is less than 5, this is not the correct answer.

Answer

0.55 0.55

Exercise #13

Choose the number that is less than 0.29 0.29 .

Video Solution

Step-by-Step Solution

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

Let's look at the answers:

0.29 - Since 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, since 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, since 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

Exercise #14

Choose the largest number of 0.41 0.41

Video Solution

Step-by-Step Solution

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

Let's look at the answers:

0.401 - We'll add 0 to our number and compare between 0.401 and 0.410. Since the hundredths digit is 0 and 0 is less than 1, this is not the correct answer.

0.411 - We'll add 0 to our number and compare between 0.411 and 0.410. Since 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 between 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

Choose the largest number of 0.81 0.81

Video Solution

Step-by-Step Solution

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

Let's look at the answers:

0.801 - We'll add 0 to our number and compare between 0.801 and 0.810. Since the hundreds digit is 0 and 0 is less than 1, this is not the correct answer.

0.81 - Since 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 - We'll add 0 to our number and compare between 0.802 and 0.810. Since the hundreds digit is 0 and 0 is less than 1, this is not the correct answer.

Answer

0.82 0.82