Place Value Problem: Find Numbers Where Thousandth Digit = Units Digit - 4

Question

Choose a number greater than 1029 whose thousandth digit is 4 less than its units digit.

Step-by-Step Solution

To solve this problem, we will evaluate each choice to find the number where the thousandth digit is 4 less than its units digit, and the entire number is greater than 1029.

  • Choice 1: 1037 1037

  • Thousandth digit is 1, unit digit is 7. The difference is 71=6 7 - 1 = 6 , which does not satisfy the condition (needs to be 4).

  • Choice 2: 408 408

  • This does not meet the requirement of being greater than 1029.

  • Choice 3: 1025 1025

  • Thousandth digit is 1, unit digit is 5. The difference is 51=4 5 - 1 = 4 , which meets the condition. However, 1025 1025 is not greater than 1029 1029 .

  • Choice 4: 1235 1235

  • Thousandth digit is 1, unit digit is 5. The difference is 51=4 5 - 1 = 4 , and the number is greater than 1029 1029 . This satisfies all conditions.

Therefore, among the given options, the correctly chosen number is 1235 1235 .

Answer

1235 1235