Decimal Comparison: Finding the Maximum Value of 0.31

Question

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

Video Solution

Solution Steps

00:00 Choose the larger number than the given number
00:03 Let's compare the digits of the numbers
00:07 We can always add 0 to the right side of the last digit
00:10 The digit 1 is greater than 0, therefore the number is larger
00:13 Let's check the next number, using the same method
00:23 The digit 0 is less than 1, therefore the number is smaller
00:27 Let's check the next number, using the same method
00:31 The digit 0 is less than 1, therefore the number is smaller
00:36 Let's check the next number, using the same method
00:40 We can see that these numbers are equal
00:43 And this is the solution to the question

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