Decimal Comparison: Finding the Maximum Value of 0.709

Question

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

Video Solution

Solution Steps

00:00 Choose the larger number than the given number
00:03 We can always add 0 to the right side of the last digit:
00:07 Let's compare the digits of the numbers
00:11 The digit 1 is greater than 0, so the number is larger
00:18 Let's check the next number, using the same method
00:22 The digit 6 is less than 7, so the number is smaller
00:26 Let's check the next number, using the same method
00:35 The digit 1 is less than 9, so the number is smaller
00:40 Let's check the next number, using the same method
00:50 The digit 0 is less than 9, so the number is smaller
00:55 And this is the solution to the question

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