Final answer:
The digit 6 in 1,564 is in the tens place; therefore, its value is 60.
Step-by-step explanation:
The value of the digit 6 in 1,564 is determined by its position within the number, which is the tens place. Since the 6 is in the tens place, its value is 60. To find the value of a digit in a number, you multiply the digit by the place value it is in. In this case, the place value is 10, so 6 × 10 = 60. This concept is crucial to understanding place value and the base-10 number system that we use.