Question

The same digits are used for the expressions 34 and 43. Select the symbol that correctly compares the expressions.

A) < (34 < 43)

B) = (34 = 43)

C) > (34 > 43)

D) ≠ (34 ≠ 43)

Answer 1

To compare the numbers 34 and 43, we evaluate the value of the digits in the tens place. Since 43 has a larger digit in the tens place than 34, the correct comparison is 34 < 43, which is represented by option A.

Step-by-step explanation:

The question involves comparing two expressions with the same digits: 34 and 43. To compare these two expressions, one needs to look at the value each digit contributes to the number's overall value. The digit in the tens place has more value than the digit in the ones place. Hence, in the comparison of 34 and 43, we see that 43 has a larger digit (4) in the tens place compared to 34, which has a lower digit (3) in the tens place.

Therefore, the correct way to compare these two expressions is with a '<' (less than) symbol, indicating that 34 is less than 43. The correct answer to the student's question is A) < (34 < 43).