Compare Numbers 17□ and 159: Finding the Missing Digit and Inequality Sign

Question

There is an unknown digit behind the \Box

Determine the correct sign for the following expression:

17?159 17\Box?159

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the range of possible values for 17 followed by a digit (Box).
  • Step 2: Compare each possible value against 159.

Now, let's work through each step:

Step 1: The number 17 followed by an unknown digit can be represented as 1717\Box, where \Box can be any digit from 0 to 9. This forms the numbers 170 to 179.

Step 2: We'll compare these numbers:

  • 170>159170 > 159
  • 171>159171 > 159
  • 172>159172 > 159
  • 173>159173 > 159
  • 174>159174 > 159
  • 175>159175 > 159
  • 176>159176 > 159
  • 177>159177 > 159
  • 178>159178 > 159
  • 179>159179 > 159

Since all possible values of 1717\Box (from 170 to 179) are greater than 159, the correct comparison sign is >>.

Therefore, the solution to the problem is >>.

Answer

>